A note on rainbow matchings in properly edge-coloured graphs
Allan Lo · arXiv (Cornell University) · 2011
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 $G$ with $|G| \ge (9δ(G) -5)/2$ has a rainbow matching of size $δ(G)$, improving a result of Diemunsch et al.