{ "id": "0906.1857", "version": "v1", "published": "2009-06-10T12:35:26.000Z", "updated": "2009-06-10T12:35:26.000Z", "title": "On the circumference, connectivity and dominating cycles", "authors": [ "Zh. G. Nikoghosyan" ], "comment": "31 pages", "categories": [ "math.CO" ], "abstract": "Every 4-connected graph with minimum degree $\\delta$ and connectivity $\\kappa$ either has a cycle of length at least $4\\delta-2\\kappa$ or has a dominating cycle.", "revisions": [ { "version": "v1", "updated": "2009-06-10T12:35:26.000Z" } ], "analyses": { "subjects": [ "05C38", "05C40" ], "keywords": [ "dominating cycle", "connectivity" ], "note": { "typesetting": "TeX", "pages": 31, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0906.1857N" } } }