English

Coloring Square-free Berge Graphs

Combinatorics 2023-10-23 v2

Abstract

We consider the class of Berge graphs that do not contain a chordless cycle of length 44. We present a purely graph-theoretical algorithm that produces an optimal coloring in polynomial time for every graph in that class.

Keywords

Cite

@article{arxiv.1509.09195,
  title  = {Coloring Square-free Berge Graphs},
  author = {Maria Chudnovsky and Irene Lo and Frederic Maffray and Nicolas Trotignon and Kristina Vuskovic},
  journal= {arXiv preprint arXiv:1509.09195},
  year   = {2023}
}
R2 v1 2026-06-22T11:09:15.664Z