{ "id": "1202.3843", "version": "v1", "published": "2012-02-17T05:23:49.000Z", "updated": "2012-02-17T05:23:49.000Z", "title": "The internally 4-connected binary matroids with no M(K5\\e)-minor", "authors": [ "Dillon Mayhew", "Gordon Royle" ], "comment": "16 pages, 4 figures", "categories": [ "math.CO" ], "abstract": "Let AG(3,2)xU(1,1) denote the binary matroid obtained from the direct sum of AG(3,2) and a coloop by completing the 3-point lines between every element in AG(3,2) and the coloop. We prove that every internally 4-connected binary matroid that does not have a minor isomorphic to M(K5\\e) is isomorphic to a minor of (AG(3,2)xU(1,1))*.", "revisions": [ { "version": "v1", "updated": "2012-02-17T05:23:49.000Z" } ], "analyses": { "subjects": [ "05B35" ], "keywords": [ "binary matroid", "minor isomorphic", "direct sum" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1202.3843M" } } }