{ "id": "1612.03372", "version": "v1", "published": "2016-12-11T05:04:53.000Z", "updated": "2016-12-11T05:04:53.000Z", "title": "On Jacobian group and complexity of the generalized Petersen graph GP(n,k) through Chebyshev polynomials", "authors": [ "Y. S. Kwon", "A. D. Mednykh", "I. A. Mednykh" ], "categories": [ "math.CO" ], "abstract": "In the present paper we find a simple algorithm for counting Jacobian group of the generalized Petersen graph GP(n,k). Also, we obtain a closed formula for the number of spanning trees of this graph in terms of Chebyshev polynomials.", "revisions": [ { "version": "v1", "updated": "2016-12-11T05:04:53.000Z" } ], "analyses": { "subjects": [ "05C30", "39A10" ], "keywords": [ "generalized petersen graph gp", "chebyshev polynomials", "complexity", "counting jacobian group", "simple algorithm" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }