English

Three-coloring graphs with no induced seven-vertex path I : the triangle-free case

Combinatorics 2014-09-19 v1 Discrete Mathematics

Abstract

In this paper, we give a polynomial time algorithm which determines if a given triangle-free graph with no induced seven-vertex path is 3-colorable, and gives an explicit coloring if one exists.

Keywords

Cite

@article{arxiv.1409.5164,
  title  = {Three-coloring graphs with no induced seven-vertex path I : the triangle-free case},
  author = {Maria Chudnovsky and Peter Maceli and Mingxian Zhong},
  journal= {arXiv preprint arXiv:1409.5164},
  year   = {2014}
}

Comments

53 Pages, 3 figures