{ "id": "1011.3384", "version": "v1", "published": "2010-11-15T13:54:50.000Z", "updated": "2010-11-15T13:54:50.000Z", "title": "Notes on factor-criticality, extendibility and independence number", "authors": [ "Zan-Bo Zhang", "Dingjun Lou", "Xiaoyan Zhang" ], "comment": "This paper has been published on Ars Combinatoria", "journal": "Ars Combinatoria 87 (2008), 139-146", "categories": [ "math.CO" ], "abstract": "In this paper, we give a sufficient and necessary condition for a $k$-extendable graph to be $2k$-factor-critical when $k=\\nu/4$, and prove some results on independence numbers in $n$-factor-critical graphs and $k\\frac{1}{2}$-extendable graphs.", "revisions": [ { "version": "v1", "updated": "2010-11-15T13:54:50.000Z" } ], "analyses": { "subjects": [ "05C70" ], "keywords": [ "independence number", "extendibility", "factor-criticality" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1011.3384Z" } } }