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arXiv · 2008.04303

Coloring Fast Without Learning Your Neighbors' Colors

Magnus M. Halldorsson·Fabian Kuhn·Yannic Maus·Alexandre Nolin
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Abstract

We give an improved randomized CONGEST algorithm for distance-$2$ coloring that uses $Δ^2+1$ colors and runs in $O(\log n)$ rounds, improving the recent $O(\log Δ\cdot \log n)$-round algorithm in [Halldórsson, Kuhn, Maus; PODC '20]. We then improve the time complexity to $O(\log Δ) + 2^{O(\sqrt{\log\log n})}$.

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Magnus M. Halldorsson, Fabian Kuhn, Yannic Maus, Alexandre Nolin. 2020-08-10. Coloring Fast Without Learning Your Neighbors' Colors. https://arxiv.org/abs/2008.04303

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