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METHOD FOR UPDATING BETWEENNESS CENTRALITY OF GRAPH
METHOD FOR UPDATING BETWEENNESS CENTRALITY OF GRAPH
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机译:更新图的中心度的方法
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摘要
The present invention provides a method for updating betweenness centrality of a graph, which obtains the betweenness centrality of an unweighted graph, which is updated when edges are updated, the method comprising the steps of: obtaining a minimum union cycle (an MUC, a subset of edges of the graph in which every vertex of the graph is incident to an even number of edges) of the updated graph; extracting an MUC (i.e., an MUCU) containing a vertex, which is incident to the updated edge, and calculating the betweenness centrality (i.e., local betweenness centrality) due to the shortest paths (internal paths) in the MUCU; obtaining the betweenness centrality (an increase of an external path) due to the shortest paths of the graph, which are not included in the MUCU; and calculating the betweenness centrality of the graph by adding the increase of the external path to the local betweenness centrality.
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机译:本发明提供一种用于更新图的中间性中心的方法,该方法获得未加权图的中间性中心,该未加权图的中间性在边缘更新时被更新,该方法包括以下步骤:获得最小联合周期(MUC,子集,子集)图的每个图的顶点都入射到偶数个边的图的边的数量);提取包含顶点的MUC(即MUC U Sub>),该顶点入射到更新的边缘,并计算由于最短路径(内部路径)而引起的中间性中心度(即局部中间性中心度)在MUC U Sub>中;获得由于图的最短路径而未包括在MUC U Sub>中的中间性中心性(外部路径的增加);并通过将外部路径的增加量添加到局部中间度中心度来计算图的中间度中心度。
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