{ "id": "1412.8709", "version": "v1", "published": "2014-12-30T17:58:48.000Z", "updated": "2014-12-30T17:58:48.000Z", "title": "Connected even factors in the square of essentially 2-edge connected graphs", "authors": [ "Jan Ekstein", "Baoyindureng Wu", "Liming Xiong" ], "comment": "10 pages", "categories": [ "math.CO" ], "abstract": "In this paper we prove that the square of an essentially 2-edge connected graph with an additional property has a connected even factor with maximum degree at most 4. Moreover we show that, in general, the square of essentially 2-edge connected graph does not contain a connected even factor with bounded maximum degree.", "revisions": [ { "version": "v1", "updated": "2014-12-30T17:58:48.000Z" } ], "analyses": { "subjects": [ "05C40", "05C76" ], "keywords": [ "connected graph", "additional property", "bounded maximum degree" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1412.8709E" } } }