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arXiv · 2405.09975

Distributed Delta-Coloring under Bandwidth Limitations

Yannic Maus·Magnús M. Halldórsson
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Abstract

We consider the problem of coloring graphs of maximum degree $\Delta$ with $\Delta$ colors in the distributed setting with limited bandwidth. Specifically, we give a $\mathsf{poly}\log\log n$-round randomized algorithm in the CONGEST model. This is close to the lower bound of $\Omega(\log \log n)$ 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 Lov\'asz local lemma (LLL) and the $deg+1$-list coloring problem.

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Yannic Maus, Magnús M. Halldórsson. 2024-05-16. Distributed Delta-Coloring under Bandwidth Limitations. https://arxiv.org/abs/2405.09975

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