• Corpus ID: 15142067

# Entropy compression method applied to graph colorings

@article{Gonalves2014EntropyCM,
title={Entropy compression method applied to graph colorings},
author={Daniel Gonçalves and Micka{\"e}l Montassier and Alexandre Pinlou},
journal={ArXiv},
year={2014},
volume={abs/1406.4380}
}
• Published 17 June 2014
• Mathematics, Computer Science
• ArXiv
Based on the algorithmic proof of Lov\'asz local lemma due to Moser and Tardos, the works of Grytczuk et al. on words, and Dujmovi\'c et al. on colorings, Esperet and Parreau developed a framework to prove upper bounds for several chromatic numbers (in particular acyclic chromatic index, star chromatic number and Thue chromatic number) using the so-called \emph{entropy compression method}. Inspired by this work, we propose a more general framework and a better analysis. This leads to improved…

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