{ "id": "math/0609219", "version": "v1", "published": "2006-09-07T20:11:11.000Z", "updated": "2006-09-07T20:11:11.000Z", "title": "On the Cycle Space of a 3--Connected Graph", "authors": [ "Alexander Kelmans" ], "categories": [ "math.CO" ], "abstract": "We give a simple proof of Tutte's theorem stating that the cycle space of a 3--connected graph is generated by the set of non-separating circuits of the graph. Keywords: graph, cycle, circuit, cycle space, non-separating circuit, strong isomorphism.", "revisions": [ { "version": "v1", "updated": "2006-09-07T20:11:11.000Z" } ], "analyses": { "subjects": [ "05C10" ], "keywords": [ "cycle space", "non-separating circuit", "simple proof", "strong isomorphism" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......9219K" } } }