{ "id": "0903.5353", "version": "v1", "published": "2009-03-31T01:01:57.000Z", "updated": "2009-03-31T01:01:57.000Z", "title": "Spectral radius and Hamiltonicity of graphs", "authors": [ "Miroslav Fiedler", "Vladimir Nikiforov" ], "categories": [ "math.CO" ], "abstract": "Let G be a graph of given order and mu(G) be the largest eigenvalue of its adjacency matrix. We give conditions on mu(G) that imply Hamiltonicity of G and of its complement.", "revisions": [ { "version": "v1", "updated": "2009-03-31T01:01:57.000Z" } ], "analyses": { "subjects": [ "05C35", "05C50" ], "keywords": [ "spectral radius", "adjacency matrix", "largest eigenvalue", "conditions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0903.5353F" } } }