Betweenness Centrality : Algorithms and Lower Bounds

Shiva Kintali

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arXiv · 0809.1906

Betweenness Centrality : Algorithms and Lower Bounds

Shiva Kintali

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Abstract

One of the most fundamental problems in large scale network analysis is to determine the importance of a particular node in a network. Betweenness centrality is the most widely used metric to measure the importance of a node in a network. In this paper, we present a randomized parallel algorithm and an algebraic method for computing betweenness centrality of all nodes in a network. We prove that any path-comparison based algorithm cannot compute betweenness in less than O(nm) time.

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Shiva Kintali. 2008-10-19. Betweenness Centrality : Algorithms and Lower Bounds. https://arxiv.org/abs/0809.1906

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