English

Computing maximal cliques in link streams

Data Structures and Algorithms 2016-07-05 v7

Abstract

A link stream is a collection of triplets (t,u,v)(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 Δ\Delta, a Δ\Delta-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 Δ\Delta. 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.

Keywords

Cite

@article{arxiv.1502.00993,
  title  = {Computing maximal cliques in link streams},
  author = {Tiphaine Viard and Matthieu Latapy and Clémence Magnien},
  journal= {arXiv preprint arXiv:1502.00993},
  year   = {2016}
}
R2 v1 2026-06-22T08:21:04.228Z