{ "id": "math/0506259", "version": "v2", "published": "2005-06-13T22:28:09.000Z", "updated": "2006-05-02T18:29:39.000Z", "title": "Walks and the spectral radius of graphs", "authors": [ "Vladimir Nikiforov" ], "comment": "Corrections were made in Theorems 5 and 11 (the new numbers are different), following a remark of professor Yaoping Hou", "categories": [ "math.CO" ], "abstract": "We give upper and lower bounds on the spectral radius of a graph in terms of the number of walks. We generalize a number of known results.", "revisions": [ { "version": "v2", "updated": "2006-05-02T18:29:39.000Z" } ], "analyses": { "subjects": [ "15A42", "05C50" ], "keywords": [ "spectral radius", "lower bounds" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......6259N" } } }