A faster algorithm for betweenness centrality*

作者：Ulrik Brandes · 发表于：Journal of Mathematical Sociology · 年份：2001 · DOI：10.1080/0022250x.2001.9990249 · 被引用次数：5026 · 研究领域：Complex Network Analysis Techniques、Opinion Dynamics and Social Influence、Advanced Graph Neural Networks

Motivated by the fast‐growing need to compute centrality indices on large, yet very sparse, networks, new algorithms for betweenness are introduced in this paper. They require O(n + m) space and run in O(nm) and O(nm + n2 log n) time on unweighted and weighted networks, respectively, where m is the number of links. Experimental evidence is provided that this substantially increases the range of networks for which centrality analysis is feasible. The betweenness centrality index is essential in the analysis of social networks, but costly to compute. Currently, the fastest known algorithms require ?(n 3) time and ?(n 2) space, where n is the number of actors in the network.