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Faster Evaluation of Shortest-Path Based Centrality Indices

by: Ulrik Brandes


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Centrality indices are an important tool in network analysis, and many of them are derived from the set of all shortest paths of the underlying graph. The so-called betweenness centrality index is essential for the analysis of social networks, but most costly to compute. Currently, the fastest known algorithms require Theta(n³) time and Theta(n²) space, where n is the number of vertices. Motivated by the fast-growing need to compute centrality indices on large, yet very sparse,...


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