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Distributed Delta-Coloring Under Bandwidth Limitations

Authors Magnús M. Halldórsson , Yannic Maus

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Author Details

Magnús M. Halldórsson
  • Reykjavik University, Iceland
Yannic Maus
  • TU Graz, Austria

Funding

  • Halldórsson, Magnús M.: Supported in part by Icelandic Research Fund grant 217965.
  • Maus, Yannic: Supported by the Austrian Science Fund (FWF), Grant P36280-N.

Acknowledgements

We thank Saku Peltonen for valuable input and discussions.

Cite AsGet BibTex

Magnús M. Halldórsson and Yannic Maus. Distributed Delta-Coloring Under Bandwidth Limitations. In 38th International Symposium on Distributed Computing (DISC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 319, pp. 31:1-31:22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
https://doi.org/10.4230/LIPIcs.DISC.2024.31

Abstract

We consider the problem of coloring graphs of maximum degree Δ with Δ colors in the distributed setting with limited bandwidth. Specifically, we give a polylog log n-round randomized algorithm in the CONGEST model. This is close to the lower bound of Ω(log log n) rounds from [Brandt et al., STOC '16], which holds also in the more powerful LOCAL model. The core of our algorithm is a reduction to several special instances of the constructive Lovász local lemma (LLL) and the deg+1-list coloring problem.

Subject Classification

ACM Subject Classification
  • Theory of computation → Distributed algorithms
Keywords
  • Graph problems
  • Graph coloring
  • Lovász local lemma
  • LOCAL model
  • CONGEST model
  • Distributed computing

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