English

A note on rainbow matchings in properly edge-coloured graphs

Combinatorics 2011-08-29 v1

Abstract

A rainbow matching in an edge-coloured graph is a matching such that its edges have distinct colours. We show that every properly edge-coloured graph GG with G(9δ(G)5)/2|G| \ge (9\delta(G) -5)/2 has a rainbow matching of size δ(G)\delta(G), improving a result of Diemunsch et al.

Keywords

Cite

@article{arxiv.1108.5273,
  title  = {A note on rainbow matchings in properly edge-coloured graphs},
  author = {Allan Lo},
  journal= {arXiv preprint arXiv:1108.5273},
  year   = {2011}
}
R2 v1 2026-06-21T18:55:32.274Z