English

Incidence coloring of Regular graphs and Complement graphs

Combinatorics 2012-05-01 v2

Abstract

Using a relation between domination number and incidence chromatic number, we obtain necessary and sufficient conditions for rr-regular graphs to be (r+1)(r+1)-incidence colorable. Also, we determine the optimal Nordhaus-Gaddum inequality for the incidence chromatic number.

Keywords

Cite

@article{arxiv.1203.6145,
  title  = {Incidence coloring of Regular graphs and Complement graphs},
  author = {Pak Kiu Sun},
  journal= {arXiv preprint arXiv:1203.6145},
  year   = {2012}
}

Comments

This paper have been withdrawn since the article to appear in Taiwanese Journal of Mathematics and it will offense the rules

R2 v1 2026-06-21T20:40:58.851Z