{ "id": "1209.5044", "version": "v1", "published": "2012-09-23T09:33:56.000Z", "updated": "2012-09-23T09:33:56.000Z", "title": "Characterizing partition functions of the spin model by rank growth", "authors": [ "Alexander Schrijver" ], "categories": [ "math.CO" ], "abstract": "We characterize which graph invariants are partition functions of a spin model over the complex numbers, in terms of the rank growth of associated `connection matrices'.", "revisions": [ { "version": "v1", "updated": "2012-09-23T09:33:56.000Z" } ], "analyses": { "subjects": [ "05Exx", "05C25", "82B20" ], "keywords": [ "characterizing partition functions", "rank growth", "spin model", "connection matrices", "graph invariants" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1209.5044S" } } }