Corpus ID: 234357610

# Ultrafast Distributed Coloring of High Degree Graphs

@article{Halldorsson2021UltrafastDC,
title={Ultrafast Distributed Coloring of High Degree Graphs},
author={Magn'us M. Halld'orsson and Alexandre Nolin and Tigran Tonoyan},
journal={ArXiv},
year={2021},
volume={abs/2105.04700}
}
• Published 2021
• Computer Science
• ArXiv
We give a new randomized distributed algorithm for the ∆ + 1-list coloring problem. The algorithm and its analysis dramatically simplify the previous best result known of Chang, Li, and Pettie [SICOMP 2020]. This allows for numerous refinements, and in particular, we can color all n-node graphs of maximum degree ∆ ≥ log n in O(log∗ n) rounds. The algorithm works in the Congest model, i.e., it uses only O(log n) bits per message for communication. On low-degree graphs, the algorithm shatters the… Expand
1 Citations

#### Figures from this paper

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• ArXiv
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We present a simple deterministic distributed algorithm that computes a $(\Delta+1)$-vertex coloring in $O(\log^2 \Delta \cdot \log n)$ rounds, in any graph with at most $n$ nodes and maximum degreeExpand

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