Computing communities in large networks using random walks

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Computing communities in large networks using random walks (2004)

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by Pascal Pons , Matthieu Latapy

Venue:	J. of Graph Alg. and App. bf
Citations:	226 - 3 self

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@ARTICLE{Pons04computingcommunities,
    author = {Pascal Pons and Matthieu Latapy},
    title = {Computing communities in large networks using random walks},
    journal = {J. of Graph Alg. and App. bf},
    year = {2004},
    volume = {10},
    pages = {284--293}
}

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Abstract

Dense subgraphs of sparse graphs (communities), which appear in most real-world complex networks, play an important role in many contexts. Computing them however is generally expensive. We propose here a measure of similarities between vertices based on random walks which has several important advantages: it captures well the community structure in a network, it can be computed efficiently, and it can be used in an agglomerative algorithm to compute efficiently the community structure of a network. We propose such an algorithm, called Walktrap, which runs in time O(mn 2) and space O(n 2) in the worst case, and in time O(n 2 log n) and space O(n 2) in most real-world cases (n and m are respectively the number of vertices and edges in the input graph). Extensive comparison tests show that our algorithm surpasses previously proposed ones concerning the quality of the obtained community structures and that it stands among the best ones concerning the running time.

Keyphrases

random walk large network community structure important role real-world complex network several important advantage sparse graph many context real-world case dense subgraphs running time input graph extensive comparison test agglomerative algorithm

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