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Strong odd coloring in minor-closed classes

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Year: 2025
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
DOI: 10.48550/arxiv.2505.02736
Authors: Goetze, Miriam, Klute, Fabian, Knauer, Kolja, Parada, Irene, Peña, Juan Pablo, Ueckerdt, Torsten
Institutions: Karlsruhe Institute of Technology, Universitat Politècnica de Catalunya, Universitat de Barcelona, Center for Mathematical Modeling, University of Chile
Language: English

Topic: Advanced Graph Theory Research
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Deutsche Forschungsgemeinschaft, Ministerio de Asuntos Económicos y Transformación Digital, Gobierno de España, Agencia Nacional de Investigación y Desarrollo, Agencia Estatal de Investigación, Ministerio de Universidades, NextGenerationEU
Awards: G14461421, G2262748287, G3480869486, G3681454997, G4042783231, G425668148, Überdeckungszahlen in Theorie und Praxis, G6468150428, G6989706184, G7084143925, CENTER FOR MATHEMATICAL MODELING (CMM), G84477964
OpenAlex ID: W4415032449
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