DROPS

Document

DOI: 10.4230/LIPIcs.CP.2022.26

From Cliques to Colorings and Back Again

Authors: Marijn J. H. Heule, Anthony Karahalios, and Willem-Jan van Hoeve

Published in: LIPIcs, Volume 235, 28th International Conference on Principles and Practice of Constraint Programming (CP 2022)

Abstract

We present an exact algorithm for graph coloring and maximum clique problems based on SAT technology. It relies on four sub-algorithms that alternatingly compute cliques of larger size and colorings with fewer colors. We show how these techniques can mutually help each other: larger cliques facilitate finding smaller colorings, which in turn can boost finding larger cliques. We evaluate our approach on the DIMACS graph coloring suite. For finding maximum cliques, we show that our algorithm can improve the state-of-the-art MaxSAT-based solver IncMaxCLQ, and for the graph coloring problem, we close two open instances, decrease two upper bounds, and increase one lower bound.

Cite as

Marijn J. H. Heule, Anthony Karahalios, and Willem-Jan van Hoeve. From Cliques to Colorings and Back Again. In 28th International Conference on Principles and Practice of Constraint Programming (CP 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 235, pp. 26:1-26:10, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)

Copy BibTex To Clipboard

@InProceedings{heule_et_al:LIPIcs.CP.2022.26,
  author =	{Heule, Marijn J. H. and Karahalios, Anthony and van Hoeve, Willem-Jan},
  title =	{{From Cliques to Colorings and Back Again}},
  booktitle =	{28th International Conference on Principles and Practice of Constraint Programming (CP 2022)},
  pages =	{26:1--26:10},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-240-2},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{235},
  editor =	{Solnon, Christine},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CP.2022.26},
  URN =		{urn:nbn:de:0030-drops-166558},
  doi =		{10.4230/LIPIcs.CP.2022.26},
  annote =	{Keywords: Graph coloring, maximum clique, Boolean satisfiability}
}

Search Results

Documents authored by Karahalios, Anthony

From Cliques to Colorings and Back Again

Abstract

Cite as

Thanks for your feedback!

Could not send message