{ "id": "1809.00889", "version": "v1", "published": "2018-09-04T11:02:39.000Z", "updated": "2018-09-04T11:02:39.000Z", "title": "A note on the spectra of some subgraphs of the hypercube", "authors": [ "Xueyi Huang", "Qiongxiang Huang" ], "comment": "4 pages", "categories": [ "math.CO" ], "abstract": "In this note, we determine the spectra of the subgraphs (and their line graphs) of the hypercube induced by two consecutive layers, which generalizes a result due to Mirafzal [S.M. Mirafzal, A new class of integral graphs constructed from the hypercube, Linear Algebra Appl. 558 (2018) 186--194].", "revisions": [ { "version": "v1", "updated": "2018-09-04T11:02:39.000Z" } ], "analyses": { "subjects": [ "05C50" ], "keywords": [ "linear algebra appl", "line graphs", "integral graphs", "consecutive layers", "generalizes" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }