Abstract: 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. First of all, the method is performed by obtaining a minimum union cycle (an MUC) of the updated graph, and extracting an MUC (MUCU) containing a vertex, which is incident to the updated edge. And a first betweenness centrality due to the shortest paths in the MUCU, and a second betweenness centrality due to the shortest paths, not included in the MUCU, are calculated. And finally, a final betweenness centrality of the graph is obtained by adding the first and second betweenness centralities. By using the method, the search space and calculation cost can be remarkably reduced.

Abstract: 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.