Deterministic Distributed Vertex Coloring: Simpler, Faster, and without Network Decomposition

@article{Ghaffari2022DeterministicDV,
title={Deterministic Distributed Vertex Coloring: Simpler, Faster, and without Network Decomposition},
author={Mohsen Ghaffari and Fabian Kuhn},
journal={2021 IEEE 62nd Annual Symposium on Foundations of Computer Science (FOCS)},
year={2022},
pages={1009-1020}
}
• Published 9 November 2020
• Computer Science
• 2021 IEEE 62nd Annual Symposium on Foundations of Computer Science (FOCS)
We present a simple deterministic distributed algorithm that computes a ($\Delta+1$)-vertex coloring in $O(\text{log}^{2}\Delta. \text{log}\ n)$ rounds. The algorithm can be implemented with $O(\text{log}\ n)$-bit messages. The algorithm can also be extended to the more general ($degree+1$)-list coloring problem. Obtaining a polylogarithmic-time deterministic algorithm for ($\Delta +1$)-vertex coloring had remained a central open question in the area of distributed graph algorithms since the…
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