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The Cartographer
The Bron-Kerbosch Algorithm with Vertex Ordering is Output-Sensitive
November 05, 2019 Β· Declared Dead Β· π arXiv.org
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Authors
George Manoussakis
arXiv ID
1911.01951
Category
cs.DS: Data Structures & Algorithms
Citations
1
Venue
arXiv.org
Last Checked
4 months ago
Abstract
The Bron-Kerbosch algorithm is a well known maximal clique enumeration algorithm. So far it was unknown whether it was output sensitive or not. In this paper we partially answer this question by proving that the Bron-Kerbosch Algorithm with vertex ordering, first introduced and studied by Eppstein, LΓΆffler and Strash in "Listing all maximal cliques in sparse graphs in near-optimal time. International Symposium on Algorithms and Computation. Springer, Berlin, Heidelberg, 2010" is output sensitive.
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