Listing all maximal cliques in sparse graphs in near-optimal time

Abstract

The degeneracy of an n-vertex graph G is the smallest number d such that every subgraph of G contains a vertex of degree at most d. We show that there exists a nearly-optimal fixed-parameter tractable algorithm for enumerating all maximal cliques, parametrized by degeneracy. To achieve this result, we modify the classic Bron–Kerbosch algorithm and show that… (More)
DOI: 10.1007/978-3-642-17517-6_36

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@inproceedings{Eppstein2010ListingAM, title={Listing all maximal cliques in sparse graphs in near-optimal time}, author={David Eppstein and Maarten L{\"o}ffler and Darren Strash}, booktitle={Exact Complexity of NP-hard Problems}, year={2010} }