{ "id": "1909.12839", "version": "v1", "published": "2019-09-27T17:43:09.000Z", "updated": "2019-09-27T17:43:09.000Z", "title": "A novel count of the spanning trees of a cube", "authors": [ "Thomas W. Mattman" ], "comment": "2 pages", "categories": [ "math.CO" ], "abstract": "Using the special value at $u=1$ of the Artin-Ihara $L$-function, we give a short proof of the count of the number of spanning trees in the $n$-cube.", "revisions": [ { "version": "v1", "updated": "2019-09-27T17:43:09.000Z" } ], "analyses": { "subjects": [ "05C30", "05C05", "05C25" ], "keywords": [ "spanning trees", "novel count", "short proof", "special value" ], "note": { "typesetting": "TeX", "pages": 2, "language": "en", "license": "arXiv", "status": "editable" } } }