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Betweenness centrality of a vertex (edge) in a graph is a measure for the relative participation of the vertex (edge) in the shortest paths in the graph.Betweenness centrality is widely used in various areas such as biology, transportation, and social networks.

In the particular case of non-overlapping community finding, this implies that the network divides naturally into groups of nodes with dense connections internally and sparser connections between groups.

The betweenness centrality of a vertex in a graph is a measure for the participation of the vertex in the shortest paths in the graph.

The Betweenness centrality is widely used in network analyses.

We propose a technique to update betweenness centrality of a graph when nodes are added or deleted.

Our algorithm experimentally speeds up the calculation of betweenness centrality (after updation) from 7 to 412 times, for real graphs, in comparison to the currently best known technique to find betweenness centrality. R., Iyengar S., Sukrit (2013) A Faster Algorithm to Update Betweenness Centrality after Node Alteration.

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