English

Achromatic numbers of Kneser graphs

Combinatorics 2022-01-21 v2

Abstract

Complete colorings have the property that any two color classes has at least an edge between them. Parameters such as the Grundy, achromatic and pseudoachromatic numbers comes from complete colorings, with some additional requirement. In this paper, we estimate these numbers in the Kneser graph K(n,k)K(n,k) for some values of nn and kk. We give the exact value of the achromatic number of K(n,2)K(n,2).

Keywords

Cite

@article{arxiv.2003.09409,
  title  = {Achromatic numbers of Kneser graphs},
  author = {Gabriela Araujo-Pardo and Juan Carlos Díaz-Patiño and Christian Rubio-Montiel},
  journal= {arXiv preprint arXiv:2003.09409},
  year   = {2022}
}

Comments

15 pages, 8 figures

R2 v1 2026-06-23T14:21:48.098Z