# Computing maximal cliques in link streams

arXiv: https://arxiv.org/abs/1502.00993 · HTML: https://mlsanity.com/paper/1502.00993/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 3 Feb 2015.

## Built on by (most cited first, 1 of 1)

- [Longitudinal Modularity, a Modularity for Link Streams](https://mlsanity.com/paper/2408.16877/) (2024)

## Abstract (arXiv)

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 Delta, a 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 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.
