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Strong odd coloring in minor-closed classes

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arxiv 2505.02736 v1 pith:LB4F5MAO submitted 2025-05-05 math.CO

Miriam Goetze , Fabian Klute , Kolja Knauer , Irene Parada , Juan Pablo Peña , Torsten Ueckerdt This is my paper · ORCID
classification math.CO
keywords constantminor-closedstrongalmostboundedchromaticclassclasses
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We show that the strong odd chromatic number on any proper minor-closed graph class is bounded by a constant. We almost determine the smallest such constant for outerplanar graphs.

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  1. Strong odd colorings in graph classes of bounded expansion

    math.CO 2025-05 conditional novelty 7.0 of 10

    Graph classes of bounded expansion have bounded strong odd chromatic number, and the same zero-or-odd property holds in balls of every fixed radius.

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