• Corpus ID: 162168562

Clustered Graph Coloring and Layered Treewidth

@article{Liu2019ClusteredGC,
title={Clustered Graph Coloring and Layered Treewidth},
author={Chun-Hung Liu and David R. Wood},
journal={arXiv: Combinatorics},
year={2019}
}
• Published 22 May 2019
• Mathematics
• arXiv: Combinatorics
A graph coloring has bounded clustering if each monochromatic component has bounded size. This paper studies clustered coloring, where the number of colors depends on an excluded complete bipartite subgraph. This is a much weaker assumption than previous works, where typically the number of colors depends on an excluded minor. This paper focuses on graph classes with bounded layered treewidth, which include planar graphs, graphs of bounded Euler genus, graphs embeddable on a fixed surface with…
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A graph coloring has bounded clustering if each monochromatic component has bounded size. Equivalently, it is a partition of the vertices into induced subgraphs with bounded size components. This
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