{ "id": "1610.06735", "version": "v1", "published": "2016-10-21T10:35:39.000Z", "updated": "2016-10-21T10:35:39.000Z", "title": "The distance spectra of the derangement graphs", "authors": [ "Yunnan Li", "Huiqiu Lin" ], "categories": [ "math.CO" ], "abstract": "In this paper, we consider the distance spectra of the derangement graphs. First we give a constructive proof that the connected derangement graphs are of diameter 2. Then we obtain their distance spectra. In particular, we determine all their extremal distance eigenvalues.", "revisions": [ { "version": "v1", "updated": "2016-10-21T10:35:39.000Z" } ], "analyses": { "subjects": [ "05A05", "05C50" ], "keywords": [ "distance spectra", "extremal distance eigenvalues", "connected derangement graphs", "constructive proof" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }