English

A new bound on the acyclic edge chromatic index

Combinatorics 2019-12-11 v1

Abstract

In this note we obtain a new bound for the acyclic edge chromatic number a(G)a'(G) of a graph GG with maximum degree DD proving that a(G)3.569(D1)a'(G)\leq 3.569(D-1). To get this result we revisit and slightly modify the method described in [Giotis, Kirousis, Psaromiligkos and Thilikos, Theoretical Computer Science, 66: 40-50, 2017].

Keywords

Cite

@article{arxiv.1912.04436,
  title  = {A new bound on the acyclic edge chromatic index},
  author = {Paula M. S. Fialho and Bernardo N. B. de Lima and Aldo Procacci},
  journal= {arXiv preprint arXiv:1912.04436},
  year   = {2019}
}
R2 v1 2026-06-23T12:40:49.888Z