English

Strong odd coloring in minor-closed classes

Combinatorics 2025-05-06 v1

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.

Keywords

Cite

@article{arxiv.2505.02736,
  title  = {Strong odd coloring in minor-closed classes},
  author = {Miriam Goetze and Fabian Klute and Kolja Knauer and Irene Parada and Juan Pablo Peña and Torsten Ueckerdt},
  journal= {arXiv preprint arXiv:2505.02736},
  year   = {2025}
}
R2 v1 2026-06-28T23:21:38.209Z