Computing maximal cliques in link streams

By Tiphaine Viard, Matthieu Latapy and Clémence Magnien

Theoretical Computer Science (TCS), Volume 609, Part 1, 4 January 2016, Pages 245–252. DOI: 10.1016/j.tcs.2015.09.030


A link stream is a collection of triplets (t, u, v) indicating that an interaction occurred between u and v at time t. We generalize the classical notion of cliques in graphs to such link streams: for a given ∆, a ∆-clique is a set of nodes and a time interval such that all pairs of nodes in this set interact at least once during each sub-interval of duration ∆. We propose an algorithm to enumerate all maximal (in terms of nodes or time interval) cliques of a link stream, and illustrate its practical relevance on a real-world contact trace.

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