{ "id": "1108.5273", "version": "v1", "published": "2011-08-26T09:46:37.000Z", "updated": "2011-08-26T09:46:37.000Z", "title": "A note on rainbow matchings in properly edge-coloured graphs", "authors": [ "Allan Lo" ], "categories": [ "math.CO" ], "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 $G$ with $|G| \\ge (9\\delta(G) -5)/2$ has a rainbow matching of size $\\delta(G)$, improving a result of Diemunsch et al.", "revisions": [ { "version": "v1", "updated": "2011-08-26T09:46:37.000Z" } ], "analyses": { "subjects": [ "05C15", "05C70" ], "keywords": [ "properly edge-coloured graph", "rainbow matching", "distinct colours" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1108.5273L" } } }