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Fast Coloring Despite Congested Relays

Authors Maxime Flin , Magnús M. Halldórsson , Alexandre Nolin

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Author Details

Maxime Flin
  • Reykjavik University, Iceland
Magnús M. Halldórsson
  • Reykjavik University, Iceland
Alexandre Nolin
  • CISPA Helmholtz Center for Information Security, Saarbrücken, Germany

Funding

  • Flin, Maxime: Funded by the Icelandic Research Fund (grant 2310015).
  • Halldórsson, Magnús M.: Partially supported by the Icelandic Research Fund (grant 217965).

Cite As Get BibTex

Maxime Flin, Magnús M. Halldórsson, and Alexandre Nolin. Fast Coloring Despite Congested Relays. In 37th International Symposium on Distributed Computing (DISC 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 281, pp. 19:1-19:24, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023) https://doi.org/10.4230/LIPIcs.DISC.2023.19

Abstract

We provide a O(log⁶ log n)-round randomized algorithm for distance-2 coloring in CONGEST with Δ²+1 colors. For Δ≫polylog n, this improves exponentially on the O(logΔ+polylog log n) algorithm of [Halldórsson, Kuhn, Maus, Nolin, DISC'20].

Subject Classification

ACM Subject Classification
  • Theory of computation → Distributed algorithms
  • Mathematics of computing → Graph coloring
Keywords
  • CONGEST model
  • distributed graph coloring
  • power graphs

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