annotate index.html @ 7:1e34b3f04bd2 draft

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author Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
date Sat, 08 Sep 2012 08:09:38 +0900
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1 <!DOCTYPE html>
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2 <html>
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10 </style>
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12 <title>Presentation</title>
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13 <meta charset='utf-8'>
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14 <script src='./slides.js'></script>
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15 </head>
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16 <body style='display: none'>
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17 <section class='slides layout-regular template-default'>
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18 <article>
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19 <h1>GraphDB 入門<br>TinkerPop の使い方</h1>
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20 <p>Shoshi Tamaki<br>Nobuyasu Oshiro<br>08 Sep 2012</p>
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21 </article>
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23 <article>
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24 <h3>もくじ</h3>
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25 <br/>
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26 <small>
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27 <ul>
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28 <li>ストライクウィッチーズで,GraphDB/TinkerPop入門</li>
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29 <ul>
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30 <li>GraphDBとは</li>
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31 <li>PropertyGraphについて</li>
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32 <li>TinkerPopとは</li>
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33 <li>TinkerPopを使ってストライクウィッチーズの相関図を解析</li>
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34 </ul>
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35 <li>TinkerPop による PageRank の実装</li>
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36 <ul>
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37 <li>PageRank アルゴリズム</li>
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38 <li>Page と PageRank の GraphDB による表現</li>
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39 <li>TinkerPop による PageRank の計算</li>
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40 <li>Pipes による走査</li>
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41 <li>PageRank の計算にかかる時間</li>
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42 </ul>
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43 </ul>
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44 </small>
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45 </article>
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47 <article>
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48 <h3>GraphDB とは?</h3>
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49 <p>Graph構造を保存するためのデータベース.</p>
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50 <p>Graph構造とは,たとえばこんなもの</p>
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51 <br/>
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52 <img src="./images/de2bf86e.jpeg" class="centered" height="470px"/>
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53 </article>
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54
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55 <article>
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56 <h3>GraphDB とは?</h3>
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57 <p>このような構造をしたGraphは<span style="color: red">PropertyGraph</span>と呼ばれる.</p>
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58 <p>PropertyGraphとは,</p>
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59 <br/>
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60 <img src="./images/propertygraph_sw.png" height="470px" class="centered"/>
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61 </article>
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63 <article>
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64 <h3>PropertyGraph</h3>
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65 <p><span color="red">関係・人物・名前・特徴</span>は<span color="red">Vertex・Edge・Label・Property</span>と呼ばれる.</p>
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66 <small>
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67 <ul>
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68 <li>Edge(関係)が方向を持つ</li>
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69 <li>Vertex(人物)とEdge(関係)はLabel(名前)を持つ</li>
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70 <li><span style="color: red">VertexとEdgeはKey/Valueのマップ(Property)を持っている.</span></li>
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71 </ul>
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72 </small>
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73 <img src="./images/propertygraph_sw2.png" height="400px" class="centered"/>
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74 </article>
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75
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76 <article>
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77 <h3>GraphDBとは?</h3>
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78 <p>GraphDBは,保存されたGraphのVertex,Edgeを渡り歩き,目的のデータを取得するようなデータベースである.</p>
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79 <p>渡り歩くことをTraverseという.</p>
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80 <br/>
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81 <img src="./images/traverse_sw.png" class="centered"/>
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82 </article>
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83
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84 <!--
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85 <article>
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86 <h3>GraphDB入門</h3>
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87 <p>ここまでに,GraphDB とそのデータ構造である,Property Graph とは何か説明してきた.</p>
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88 <p>今日は,この<span style="color: red">ストライクウィッチーズの相関図</span>を GraphDB に叩きこみ <span style="color:red">TinkerPop</span> を使って解析する.</p>
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89 <br/>
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90 <img src="./images/today-demo.png" class="centered"/>
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91 </article>
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92 -->
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93
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94 <article>
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95 <h3>TinkerPop</h3>
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96 <p>TinkerPopはGraphDBを利用するためのツール群である.</p>
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97 <br/>
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98 <br/>
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99 <img height="300px" src="./images/tinkerpop_with_name.png" class="centered"/>
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100 </article>
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101
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102 <article>
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103 <h3>Blueprints</h3>
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104 <p>Blueprintsは,PropertyGraphのJavaのinterfaceを提供する.</p>
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105 <p>GraphDBの世界のJDBCの立場を目指している.</p><br/>
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106 <small>
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107 Blueprints を実装している GraphDB の一例
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108 <ul>
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109 <li>Neo4j<li>
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110 <li>OrientDB</li>
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111 <li>MongoDB</li>
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112 <li>etc...</li>
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113 </ul>
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114 </small>
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115 <img src="./images/blueprints-logo.png" height="100px"/>
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116 </article>
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117
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118 <article>
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119 <h3>Gremlin</h3>
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120 <p>GraphをTraverseするための言語.Groovyがベースである.GraphDBに対してQueryを発行することが出来る.コンソールも利用できる.</p>
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121 <pre>gremlin&gt; graph.v(1).out.name
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122 ==>vadas
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123 ==>lop
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124 ==>josh</pre>
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125 <p>GremlinはPipesを利用して,GraphをTraverseする..out.nameがPipeである..</p>
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126 <img src="./images/gremlin-logo.png"/>
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127 </article>
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128
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129 <article>
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130 <h3>Pipes</h3>
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131 <p>PipesはGraphを処理するためのフレームワークである.Pipeという処理の単位を複数連結し,複雑なTraverseを実現する.</p>
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132 <img src="./images/pipes.png" height="150px" class="center"/>
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133 <p>graph.v(1)はGraphからIDか1のVertexを取得する,.out .name がぞれぞれPipeに値する.</p>
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134 <img src="./images/pipes-logo.png" height="200px"/>
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135 </article>
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136
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137 <article>
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138 <h3>Pipes</h3>
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139 <p>この例題の動作は・・・</p>
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140 <br/>
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141 <br/>
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142 <img style="float: left; margin-right:10px" src="./images/pipes-mario-2.png" height="300px"/>
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143 <br/>
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144 <img src="./images/pipes-mario-4.png" height="75px"/>
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145 <pre>gremlin&gt; g.v(1).out.name
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146 ==>vadas
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147 ==>lop
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148 ==>josh</pre>
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149 <br style="clear: both;"/>
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150 <small>
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151 <p>outはVertexから外向きのEdgeで繋がっているVertex一覧を取得する,nameはProperty名でPipeではVertexのnameを取得している.</p>
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152 </small>
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153 </article>
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154
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155 <article>
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156 <h3>ストライクウィッチーズの相関図を解析するには?</h3>
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157 <br/>
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158 <ol>
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159 <li>BlueprintsでTinkerGraphにストライクウィッチーズの相関図を入力する.</li>
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160 <li>作成したTinkerGraphを,</li>
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161 <ul>
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162 <li>Gremlinのコンソールから解析してみる.</li>
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163 <li>JavaからGremlinを使って解析してみる.</li>
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164 </ul>
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165 </ol>
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166 <br/>
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167 <p>まずは,TinkerGraphにストライクウィッチーズの相関図を入力する.</p>
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168 </article>
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169
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170 <article>
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171 <h3>この発表のサンプルコードについて</h3>
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172 <br/>
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173 <p><span style="color:red">hg clone https://bitbucket.org/suikwasha/graphdb_javakuche</span></p>
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174 <br/>
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175 <small>
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176 <p>Mavenというプロジェクト管理ツールを利用したプロジェクトになってます.</p>
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177 </small>
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178 <pre>ビルド方法・解凍したディレクトリに移動して
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179 $ mvn compile</pre>
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180 </article>
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181
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182 <article>
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183 <h3>ストライクウィッチーズの相関図を解析するには?</h3>
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184 <p>Blueprintsは,GraphDBへのインターフェイスを提供する.TinkerGraphはBlueprintsを用いて利用できる.</p>
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185 <small>
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186 <p>相関図のGraphを作るためには,<span style="color:red">Graph</span>を作成し<span style="color:red">人物(Vertex)</span>と<span style="color:red">関係(Edge)</span>,<span style="color:red">特徴(Property)</span>を作る必要がある.</p>
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187 </small>
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188 <small>
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189 <pre>// 相関図(Graph)の作成,データを保存するディレクトリを引数に取る
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190 Graph g = new TinkerGraph();</pre>
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191 <pre>// 人物(Vertex)の作成,設定したいIDを引数に取る
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192 Vertex character = g.addVertex(ID);</pre>
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193 <pre>// 関係(Edge)の作成,設定したいIDを引数に取る
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194 Edge relation = g.addEdge(ID,From,To,Label);</pre>
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195 <pre>// 特徴(Property)の作成 , Vertex・Edgeともに同様のメソッド
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196 character.setProperty(PropertyName,PropertyValue);</pre>
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197 </small>
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198 </article>
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199
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200 <article>
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201 <h3>ストライクウィッチーズの相関図を解析するには?</h3>
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202 <p>これを入力します.</p>
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203 <img src="./images/de2bf86e.jpeg" height="550px" class="centered"/>
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204 </article>
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205
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206 <article>
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207 <h3>ストライクウィッチーズの相関図を解析するには?</h3>
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208 <p>画像を見ながらコードに書き起こすと・・・</p>
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209 <small>
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210 <pre>Graph g = new TinkerGraph("./strikewitches"); // 保存ディレクトリ
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211 Vertex strikeWitches = g.addVertex("StrikeWitches");
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212 Vertex yoshika = g.addVertex("yoshika");
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213 yoshika.setProperty(propName,"宮藤芳佳");
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214 yoshika.setProperty(propRank,"軍曹");
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215 yoshika.setProperty(propAge,14);
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216 yoshika.setProperty(propCV,"福圓美里");
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217 yoshika.setProperty(propUnit,"扶桑皇国海軍遣欧艦隊");
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218 yoshika.setProperty(propPersonality,"明るく前向きで一生懸命");
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219 Vertex lynett = g.addVertex("lynett");
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220 lynett.setProperty(propName,"リネット・ビショップ");
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221 lynett.setProperty(propRank,"軍曹");
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222 lynett.setProperty(propAge, 15);
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223 lynett.setProperty(propCV,"名塚佳織");
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224 lynett.setProperty(propUnit,"ブリタニア空軍");
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225 lynett.setProperty(propPersonality,"家庭的で戦闘は苦手");
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226 g.addEdge(null,yoshika,lynett,"仲良し新人コンビ");
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227 g.addEdge(null,lynett,yoshika,"仲良し新人コンビ");</pre>
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228 </small>
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229 </article>
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230
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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231 <article>
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232 <h3>CreateStrikeWitchesGraph</h3>
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233 <p>実際にコードを動作させてTinkerGraphに入力する.</p>
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234 <br/>
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235 <small>
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236 <p>mvn exec:java -Dexec.mainClass=suikwasha.javakuche.CreateStrikeWitchesGraph</p>
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237 </small>
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238 <br/>
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239 <p>プロジェクトのディレクトリにstrikwitchesが作成される.</p>
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240 </article>
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241
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242 <article>
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243 <h3>ストライクウィッチーズの相関図を解析するには?</h3>
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244 <p>Blueprintsを用いてTinkerGraphに相関図を書き込むことが出来た.</p>
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245 <p>今回は,Graph探索のサンプルのため"StrikeWitches"というキャラクター全員が所属する頂点を追加してある.</p>
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246 <br/>
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247 <ol>
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248 <li>BlueprintsでTinkerGraphにストライクウィッチーズの相関図を入力する.</li>
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249 <span style="color:red">
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250 <li>Gremlinを使って,TinkerGraphを読み込み,</li>
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251 <ul>
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252 <li>Gremlinのコンソールから解析してみる.</li>
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253 <li>JavaからGremlinを使って解析してみる.</li>
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254 </ul>
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255 </span>
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256 </ol>
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257 <br/>
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258 <p>では,Gremlinを利用して相関図を解析してみる.</p>
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259 </article>
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260
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261 <article>
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262 <h3>ストライクウィッチーズの相関図を解析するには?</h3>
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263 <p>Gremlinのセットアップ</p>
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264 <ul>
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265 <li>github tinkerpop/gremlin &gt; Wiki のdownloadsから<span style="color:red">gremlin-groovy-2.1.0.zip</span>を利用する.</span></li>
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266 <li>解凍して展開する.</li>
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267 <li>bin/gremlin.shを実行</li>
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268 </ul>
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269 <pre>% ./gremlin.sh [~/Downloads/gremlin-groovy-2.1.0/bin]
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270 \,,,/
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271 (o o)
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272 -----oOOo-(_)-oOOo-----
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273 gremlin&gt;</pre>
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274 <p>こんなの表示される.</p>
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275 </article>
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276
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277 <article>
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278 <h3>ストライクウィッチーズの相関図を解析するには?</h3>
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279 <p>Gremlin に相関図を食べさせて,解析開始.</p>
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280 <pre>gremlin&gt; g = new TinkerGraph("path_to_graph");
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281 ==>tinkergraph[vertices:12 edges:32 directory:path_to_graph]
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282 gremlin&gt; </pre>
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283 <p>Vertexの一覧を取得してみる.</p>
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284 <pre>gremlin> g.V // GraphのVertex一覧
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285 ==>v[mio]
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286 ...
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287 ==>v[minna]
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288 ==>v[lynett]
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289 ...
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290 ==>v[gertrud]
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291 ==>v[francesca]</pre>
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292 </article>
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293
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294 <article>
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295 <h3>ストライクウィッチーズの相関図を解析するには?</h3>
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296 <p><span style="color:red">宮藤芳佳</span>の<span style="color:red">年齢</span>を取得.</p>
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297 <pre>gremlin&gt; g.v("yoshika").age
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298 ==&gt;14</pre>
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299 <p><span style="color:red">宮藤芳佳</span>を<span style="color:red">指導</span>しているのは誰?</p>
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300 <pre>gremlin&gt; g.v("yoshika").in("指導").name
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301 ==&gt;坂本美緒</pre>
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302 <p><small><span style="color:red">宮藤芳佳</span>のことを<span style="color:red">きっー!なんなんですのアナタは!?</span>と思っている人が<span style="color:red">勤務態度に不満</span>を持っている人たち</small></p>
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303 <pre>gremlin&gt; g.v("yoshika").in("きっー!なんなんですのアナタは!?")
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304 .out("勤務態度に不満").name
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305 ==&gt;シャーロット・E・イエーガー
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306 ==&gt;フランチェスカ・ルッキーニ</pre>
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307 </article>
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308
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309 <article>
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310 <h3>ストライクウィッチーズの相関図を解析するには?</h3>
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311 <p><small><span style="color:red">宮藤芳佳</span>のことを<span style="color:red">きっー!なんなんですのアナタは!?</span>と思っている人が<span style="color:red">勤務態度に不満</span>を持っている人たち</small></p>
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312 <pre>gremlin&gt; g.v("yoshika").in("きっー!なんなんですのアナタは!?")
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313 .out("勤務態度に不満").name
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314 ==&gt;シャーロット・E・イエーガー
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315 ==&gt;フランチェスカ・ルッキーニ</pre>
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316 <img src="./images/traverse_demo.png" height="250px" class="centered"/>
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317 </article>
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318
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319 <article>
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320 <h3>ストライクウィッチーズの相関図を解析するには?</h3>
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321 <p><span style="color:red">16歳以下</span>の<span style="color:red">ウィッチ一覧</span></p>
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322 <pre>gremlin&gt; g.v("StrikeWitches").out.filter{it.age &lt; 16}.name
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323 ==&gt;宮藤芳佳
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324 ==&gt;エイラ・イルマタル・ユーティライネン
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325 ==&gt;サーニャ・V・リトヴャク
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326 ==&gt;リネット・ビショップ
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327 ==&gt;ペリーヌ・クロステルマン
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328 ==&gt;フランチェスカ・ルッキーニ</pre>
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329 <small>
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330 <p>{it.age &lt; 16}はクロージャである.outで出力されたキャラクターのVertexが,それぞれitに格納される.Groovyでitは暗黙に定義されるクロージャの変数であり,第一引数が自動的に割り当てられる.</p>
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331 </small>
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332 </article>
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333
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334 <article>
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335 <h3>ストライクウィッチーズの相関図を解析するには?</h3>
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336 <p>GremlinをJavaから使うためには,Mavenを利用するのが簡単である.</p>
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337 <p>Mavenはプロジェクト管理ツールであり,他のプロジェクトのライブラリを簡単に取り込むことができる.</p>
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338 <p>pom.xmlにGremlinを取り込むように記述する.</p>
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339 <pre>&lt;dependency&gt;
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340 &lt;groupId&gt;com.tinkerpop.gremlin&lt;/groupId&gt;
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341 &lt;artifactId&gt;gremlin-java&lt;/artifactId&gt;
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342 &lt;version&gt;2.1.0&lt;/version&gt;
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343 &lt;/dependency&gt;</pre>
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344 <p>"Using Gremlin through Java" よりtinkerpop/gremlin wiki</p>
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345 </article>
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346
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347 <article>
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348 <h3>ストライクウィッチーズの相関図を解析するには?</h3>
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349 <p>TinkerGraphで作った,相関図を読み込む</p>
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350 <pre>Graph g = new TinkerGraph("path_to_graph");</pre>
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351 <p>GremlinPipeline の作成</p>
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352 <pre>GremlinPipeline&lt;Vertex,String&gt; pipe
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353 = new GremlinPipeline&lt;Vertex,String&gt;();
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354 pipe.start(g.getVertex("yoshika"))....</pre>
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355 <p>GremlinはGraphに対して処理をするPipeをつなげて,複雑な探索を可能にする.Gremlin コンソールでは見えないが,JavaではPipesを利用しているのが確認できる.</p>
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356 </article>
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357
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358 <article>
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359 <h3>ストライクウィッチーズの相関図を解析するには?</h3>
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360 <p><span style="color:red">宮藤芳佳</span>を<span style="color:red">指導</span>しているのは誰?</p>
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361 <pre>pipe.start(g.getVertex("yoshika")).in("指導").property("name");
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362 for(String name : pipe){
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363 System.out.println("name")
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364 }</pre>
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365 <p><small><span style="color:red">宮藤芳佳</span>のことを<span style="color:red">きっー!なんなんですのアナタは!?</span>と思っている人が<span style="color:red">勤務態度に不満</span>を持っている人たちの年齢</small></p>
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366 <pre>pipe.start(g.getVertex("yoshika")).in("きっー!なんなんですのアナタは!?")
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367 .out("勤務態度に不満").property("age");
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368 for(Integer age : pipe){
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369 System.out.println(age);
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370 }</pre>
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371 </article>
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372
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373 <article>
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374 <h3>ストライクウィッチーズの相関図を解析するには?</h3>
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375 <p><span style="color:red">15歳以上</span>の<span style="color:red">ウィッチーズの名前</span></p>
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376 <pre>pipe.start(g.getVertex("StrikeWitches")).out("member")
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377 .filter(new PipeFunction&lt;Vertex,Boolean&gt;(){
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378 public Boolean compute(Vertex _argument){
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379 return (Integer)_argument.getProperty("age") >= 15;
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380 }
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381 }).name;
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382 for(String name : pipe){
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383 System.out.println(name);
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384 }</pre>
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385 <p>書き方としては,Gremlin コンソールでのほうが簡潔.</p>
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386 <pre>gremlin&gt; g.v("StrikeWitches").out.filter{it.age &gt; 15}.name</pre>
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387 </article>
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388
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389 <article>
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390 <h3>ストライクウィッチーズの相関図を解析するには?</h3>
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391 <p>Gremlin コンソールでの書き方を Java で利用することができる.</p>
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392 <pre>Pipe pipe = Gremlin.compile("_().out.filter{it.age &gt; 15}.name");
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393 pipe.setStarts(
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394 new SingleIterator&lt;Vertex&gt;(g.getVertex("StrikeWitches"));
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395 for(Object name : pipe){
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396 System.out.println(name);
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397 }</pre>
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398 <p>_()はGremlinePipelineに定義されている何もしないPipe</p>
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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399 <p>JavaでPipeを直接構築するより,こっちのほうが簡単である.</p>
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400 </article>
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401
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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402 <article>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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403 <h3>まとめ</h3>
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404 <p>これまでに,ストライクウィッチーズの相関図を利用してGraphDBの概要とTinkerPopの簡単な使い方を見てきた.</p>
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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405 <p>この発表で大体のイメージが掴めてもらえれば幸いです.</p>
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406 <ul>
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407 <li>GraphDBは,GraphのEdgeをTraverseして,目的のデータを取得するデータベース</li>
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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408 <li>GraphDBは,PropertyGraphを格納する.</p>
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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409 <li>TinkerPopは,GraphDBを利用するためのツールの集合</li>
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410 </ul>
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411 <br/>
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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412 <p>次に,具体的な利用例としてPageRankのGraphDBでの表現について発表する.</p>
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413 </article>
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414
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415
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416
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417 <article>
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418 <h3>Google の PageRank アルゴリズム</h3>
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419 <ul>
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420 <li>Google の Webページ検索エンジンに使われているアルゴリズム。</li>
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421 <li>あるページの『重要度』を示す値で、各ページ毎に持っている。 </li>
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422 <li>PageRank が高いほど検索結果の上位に表示される。</li>
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423 <li>『多くの良質なページからリンクされているページは、やはり良質なページである』という考えのアルゴリズム<br></li>
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424 <li>GraphDB は PageRank の計算に向いている。</li>
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425 </ul>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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426 </article>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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427
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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428
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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429 <article>
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430 <h3>Page と PageRank の GraphDB による表現</h3>
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431 <ul>
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432 <li>アンサイクロペディアの各ページを GraphDB で表す。</li>
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433 <li>1 Vertex が1つのページを表す。</li>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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434 <li>各Vertex は Page Title と PageRank を Property として持つ。</li>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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435 <li>リンクは "HAS_LINK" という関係で表される。</li>
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436 <li>PageRank は double で初期値は 0.15 , 最大値はページ数*0.15</li>
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437 <li>アンサイクロペディアでは URI はページタイトルと同じ。</li>
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438 <li>URI に対してユニークな Vertex ID を割り振る。</li>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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439 </ul>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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440 </article>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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441
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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442 <article>
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443 <h3>TinkerPop による PageRank の計算</h3>
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444 <ul>
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445 <li>○は Vertex を、→ は Edge を表す。</li>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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446 <p class="center">
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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447 <img src="./pic/graph.png" style="height:70%;">
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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448 </p>
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449 <small><p>例:アンサイクロペディア内のページ『琉球大学』のリンクの関係 </p></small>
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450 </ul>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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451 </article>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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452
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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453 <article>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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454 <h3>PageRank アルゴリズム</h3>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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455 <ul>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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456 <li>PageRank は次の計算式で求めることができる。</li>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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457 <pre>
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458 PR(A) = (1-d) + d (PR(T1)/C(T1) + ... + PR(Tn)/C(Tn))</pre>
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459 <li>PR(A) は A というページの PageRank を表す。</li>
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460 <li>d は定数で 0.85</li>
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461 <li>C(T1) は T1 というページがリンクを張っている数を表す。 </li>
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462 <li>T1...Tn は A をリンクしているページなので、C(T1)...C(Tn) は 0 にならない。</li>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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463 <li>Google の PageRank はこれを改良したものである。</li>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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464 <!--
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465 <li>PageRank はリンクを張ってくるページの PageRank が加算される。 </li>
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466 <li>この時加算される PageRank はリンクの数で割られた値となる。</li>
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467 -->
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468 </ul>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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469 </article>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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470
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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471 <article>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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472 <h3>PageRank の取得</h3>
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473 <ul>
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474 <li>TinkerPop 上で PageRank の値を出すために以下の2つの値が必要</li>
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475 <ul>
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476 <li>リンク("HasLink")の関係を張ってくる Vertex の取得</li>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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477 <li>リンクしてくる Vertex がどれだけリンクを張っているかを取得</li>
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478 <small><p>*各ページの情報は XML から取り出し Blueprints を用いて TinkerGraph に書き込み済み。</p></small>
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479 <p class="center">
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480 <img src="./pic/page_rank.png" style="height:40%;">
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481 </p>
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482
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483 </ul>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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484 </ul>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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485 </article>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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486
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487 <article>
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488 <h3>Pipes による走査</h3>
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489 <ul>
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490 <li>あるページへとリンクを張るページ(Vertex)の取得</li>
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491 <pre>
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492 Graph graph = ...
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493 GremlinPipeline pipe = new GremlinPipeline();
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494 pipe.start(graph.getVertex(id));
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495 pipe.in("HasLink");
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496 for (Object inVerObj : pipe) {
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497 Vertex inVer = (Vertex)inVerObj;
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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498 :
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499 } </pre>
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500 <p class="center">
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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501 <img src="./pic/inHasLink.png" style="height:30%;">
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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502 </p>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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503 </ul>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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504 </article>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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505
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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506
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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507 <article>
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508 <h3>Pipes による走査</h3>
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509 <ul>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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510 <li>あるページが張っているリンクの数の取得</li>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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511 <pre>
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512 Graph graph = ...
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513 GremlinPipeline pipe = new GremlinPipeline();
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514 pipe.start(graph.getVertex(id));
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515 pipe.out("HasLink");
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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516 long linkNum = pipe.count();
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
517 </ul>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
518 <p class="center">
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
519 <img src="./pic/outHasLink.png" style="height:30%;">
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
520 </p>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
521
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
522 </article>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
523
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
524 <article>
1
a5e7d50b110a fix presentation
nobuyasu
parents: 0
diff changeset
525 <h3>TinkerPop による PageRank の計算</h3>
0
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
526 <ul>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
527 <pre>
2
c7316a75c5ea fix index.html
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 1
diff changeset
528 final double weight = 0.85;
0
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
529 double sum = 0.0;
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
530 double pageRank = 0.0;
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
531 Vertex v = graph.getVertex(id);
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
532 GremlinPipeline pipe = new GremlinPipeline();
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
533 pipe.start(graph.getVertex(id)).in("HasLink");
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
534 for (Object inVerObj : pipe) {
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
535 Vertex inVer = (Vertex) inVerObj;
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
536 Object inVerId = inVer.getId();
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
537 GremlinPipeline inPipe = new GremlinPipeline();
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
538 inPipe.start(graph.getVertex(inVerId)).out("HasLink");
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
539 long linkNum = inPipe.count();
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
540 double pr = (Double) inVer.getProperty(PAGE_RANK);
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
541 sum += (double) pr / linkNum;
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
542 }
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
543 pageRank = (double) 1 - weight + (double) sum * weight;
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
544 v.setProperty(PAGE_RANK, pageRank);
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
545 </pre>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
546 </ul>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
547 </article>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
548
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
549 <article>
7
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 5
diff changeset
550 <h3>計算結果</h3>
0
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
551 <ul>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
552 <li>アンサイクロペディア内で PageRank の高いページ</li>
2
c7316a75c5ea fix index.html
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 1
diff changeset
553 <li>総ページ数: 242014 ページ</li>
0
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
554 <table>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
555 <tr>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
556 <td>ページ名</td>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
557 <td>リンク数</td>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
558 <td>PageRank</td>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
559 </tr>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
560 <tr>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
561 <td>ユーモア枯渇症</td>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
562 <td>7162</td>
4
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
563 <td>71.120</td>
0
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
564 <!-- <td>2.9387157726301383E-4</td> -->
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
565 </tr>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
566 <tr>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
567 <td>日本</td>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
568 <td>3537</td>
4
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
569 <td>54.584</td>
0
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
570 <!-- <td>2.2555002445844352E-4</td> -->
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
571 </tr>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
572 <tr>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
573 <td>アンサイクロペディア</td>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
574 <td>3887</td>
4
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
575 <td>54.164</td>
0
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
576 <!-- <td>2.2381320294806578E-4</td> -->
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
577 </tr>
4
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
578 <tr>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
579 <td>ウィキペディア </td>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
580 <td>2414</td>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
581 <td>44.617</td>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
582 </tr>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
583 <tr>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
584 <td>ニンジャスター</td>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
585 <td>177</td>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
586 <td>36.167</td>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
587 </tr>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
588
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
589 </table>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
590 </ul>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
591 </article>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
592
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
593 <article>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
594 <h3>PageRank の計算にかかる時間</h3>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
595 <ul>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
596 <li>PageRank は 10 回程の計算でほぼ収束した。</li>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
597 <table>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
598 <td>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
599 <img src="./pic/pageRank.png" style="height:70%;">
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
600 </td>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
601 <td>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
602 <img src="./pic/computePageRank.png" style="height:70%;">
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
603 </td>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
604 </table>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
605 <li>PageRank の計算は10回行うとして、ページ数に対してかかる時間を測ってみた。</li>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
606 </ul>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
607 </article>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
608
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
609 <article>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
610 <h3>PageRank の計算にかかる時間</h3>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
611 <ul>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
612 <li>各ページ数で行う10回計算をそれぞれ10回ずつタイムを測り平均をとった。</li>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
613 <table>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
614 <tr>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
615 <td>ページ数</td>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
616 <td>10回の計算にかかった時間(単位:ms)</td>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
617 </tr>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
618 <tr>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
619 <td>100</td>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
620 <td>21</td>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
621 </tr>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
622 <tr>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
623 <td>1000</td>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
624 <td>67</td>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
625 </tr>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
626 <tr>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
627 <td>10000</td>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
628 <td>976</td>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
629 </tr>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
630 <tr>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
631 <td>50000</td>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
632 <td>7140</td>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
633 </tr>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
634 <tr>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
635 <td>100000</td>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
636 <td>26150</td>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
637 </tr>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
638 <tr>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
639 <td>200000</td>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
640 <td>74130</td>
125ab02ad634 add some pic
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
641 </tr>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
642 <tr>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
643 <td>242014</td>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
644 <td>93512</td>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
645 </tr>
0
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
646 </table>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
647 </ul>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
648 </article>
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
649
7f57cb53663a add presen
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
650
4
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
651 <article>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
652 <h3>PageRank の計算にかかる時間</h3>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
diff changeset
653 <ul>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 3
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654 <img src="./pic/pageRankCompare.png">
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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655 </ul>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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656 </article>
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657
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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658 <article>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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659 <h3>まとめ</h3>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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660 <ul>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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661 <li>今回、TinkerPop を用いてアンサイクロペディアの各ページの PageRank を求めた。</li>
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662 <li>各ページと Vertex, リンクの関係を Edge で表すことで各ページ間の関係を TinkerPop 上で表した。 </li>
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663 <li>Gremlin を用いて各 Vertex を渡り歩ことで PageRank の計算を行った。</li>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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664 <li>全 Vertex に対しての計算量は Vertex の数に比例する。 </li>
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 5
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665 </ul>
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 5
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666 </article>
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 5
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667
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 5
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668 <article>
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 5
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669 <h3>まとめ</h3>
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 5
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670 <ul>
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 5
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671 <li></li>
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 5
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672 <li></li>
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 5
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673 <li></li>
0
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674 </ul>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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675 </article>
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676
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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677 <article>
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678 <h3>参考文献・サイト</h3>
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679 <ul>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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680 <small><li>[1] Google の秘密 - PageRank 徹底解説<br>
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681 <a href="http://homepage2.nifty.com/baba_hajime/wais/pagerank.html">http://homepage2.nifty.com/baba_hajime/wais/pagerank.html</a></li></small>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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682 <small><li>[2] Lawrence Page, Sergey Brin, Rajeev Motwani, Terry Winograd, 'The PageRank Citation Ranking: Bringing Order to the Web', 1998,<br>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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683 <a href="http://www-db.stanford.edu/~backrub/pageranksub.ps">http://www-db.stanford.edu/~backrub/pageranksub.ps</a></li></small>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
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684 <small><li>[3] The PageRank Algorithm<br>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
diff changeset
685 <a href="http://pr.efactory.de/e-pagerank-algorithm.shtml">http://pr.efactory.de/e-pagerank-algorithm.shtml</a></li></small>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
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686
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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687 <small><li>[4] グラフデータベースを用いた PageRank 実装の試み:スケーラブルなグラフ処理系に向けて<br>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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688 <a href="http://live-e.naist.jp/sensor_overlay/5/doc/hanai.pdf">http://live-e.naist.jp/sensor_overlay/5/doc/hanai.pdf</a></li></small>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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689 <!--
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
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690 <small><li>Taher H. Haveliwala, 'Efficient Computation of PageRank', Stanford Technical Report, 1999,<br>
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691 <a href="http://dbpubs.stanford.edu:8090/pub/1999-31">http://dbpubs.stanford.edu:8090/pub/1999-31</a></li>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
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692 -->
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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693 </small>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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694 </ul>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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695 </article>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
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696
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
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697
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
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698
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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699 <article>
5
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 4
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700 <h3>なぜ PageRank なのか</h3>
0
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701 <ul>
5
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 4
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702 <li>PageRank は Page と Page のリンクの有無を利用して計算できる。</li>
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 4
diff changeset
703 <li>GraphDB は Vertex と Vertex を結ぶ Edge を走査(Traverse)することで、
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 4
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704 目的のデータを得るようなデータベースである。</li>
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 4
diff changeset
705 <li>また、GraphDB は局所性のあるデータを高速に計算することができる。 </li>
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 4
diff changeset
706 <li>PageRank の Page の関係は GraphDB の Vertex と Edge で表すことが出来る。 </li>
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 4
diff changeset
707 <li>また、Page の数が増えても局所的な計算ができるため GraphDB は PageRank
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 4
diff changeset
708 を求める DB に向いている。</li>
0
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
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709 </ul>
5
Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents: 4
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710 </article>
0
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
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711
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
parents:
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712
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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713 </section>
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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714 </body>
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715 </html>