{ "id": "0807.1632", "version": "v1", "published": "2008-07-10T12:08:01.000Z", "updated": "2008-07-10T12:08:01.000Z", "title": "The centipede is determined by its Laplacian spectrum", "authors": [ "Romain Boulet" ], "comment": "Article en anglais avec un r\\'esum\\'e \\'etendu en fran\\c{c}ais. Paper in english with an extended abstract in french", "journal": "Comptes Rendus Math\\'ematiques 346, 13-14 (2008) 711-716", "categories": [ "math.CO", "math.CA", "math.SP" ], "abstract": "A centipede is a graph obtained by appending a pendant vertex to each vertex of degree 2 of a path. In this paper we prove that the centipede is determined by its Laplacian spectrum.", "revisions": [ { "version": "v1", "updated": "2008-07-10T12:08:01.000Z" } ], "analyses": { "subjects": [ "05C50", "68R10" ], "keywords": [ "laplacian spectrum", "pendant vertex" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "fr", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0807.1632B" } } }