{ "id": "1007.0316", "version": "v2", "published": "2010-07-02T08:20:51.000Z", "updated": "2010-12-14T21:30:08.000Z", "title": "Covering a graph by forests and a matching", "authors": [ "Tomas Kaiser", "Mickael Montassier", "Andre Raspaud" ], "categories": [ "math.CO" ], "abstract": "We prove that for any positive integer $k$, the edges of any graph whose fractional arboricity is at most $k + 1/(3k+2)$ can be decomposed into $k$ forests and a matching.", "revisions": [ { "version": "v2", "updated": "2010-12-14T21:30:08.000Z" } ], "analyses": { "keywords": [ "fractional arboricity", "positive integer" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1007.0316K" } } }