{ "id": "0712.1301", "version": "v1", "published": "2007-12-08T19:39:32.000Z", "updated": "2007-12-08T19:39:32.000Z", "title": "The maximum spectral radius of C_4-free graphs of given order and size", "authors": [ "Vladimir Nikiforov" ], "categories": [ "math.CO" ], "abstract": "Let G be a graph of n vertices and m edges, and let G has no cycles of length 4. We give upper bounds on the adjacency spectral radius of G in terms of n and m.", "revisions": [ { "version": "v1", "updated": "2007-12-08T19:39:32.000Z" } ], "analyses": { "subjects": [ "05C50", "05C35" ], "keywords": [ "maximum spectral radius", "adjacency spectral radius", "upper bounds" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0712.1301N" } } }