{ "id": "1009.2446", "version": "v2", "published": "2010-09-13T16:36:28.000Z", "updated": "2010-09-29T13:27:27.000Z", "title": "Three-Colorings of Cubic Graphs and Tensor Operators", "authors": [ "Rui Pedro Carpentier" ], "comment": "11 pages, many figures and diagrams", "categories": [ "math.CO", "math.QA" ], "abstract": "Penrose's work \\cite{8} established a connection between the edge 3-colorings of cubic planar graphs and tensor algebras. We exploit this point of view in order to get algebraic representations of the category of cubic graphs with free ends.", "revisions": [ { "version": "v2", "updated": "2010-09-29T13:27:27.000Z" } ], "analyses": { "subjects": [ "05C15", "47A99", "46M15" ], "keywords": [ "cubic graphs", "tensor operators", "three-colorings", "cubic planar graphs", "penroses work" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1009.2446C" } } }