{ "id": "1612.00648", "version": "v1", "published": "2016-12-02T12:06:24.000Z", "updated": "2016-12-02T12:06:24.000Z", "title": "Spectrum of a class of matrices and its applications", "authors": [ "Lihua You", "Man Yang", "JInxi Li", "Liyong Ren" ], "comment": "23", "categories": [ "math.CO" ], "abstract": "In this paper, we give the spectrum of a matrix by using the quotient matrix, then we apply this result to various matrices associated to a graph and a digraph, including adjacency matrix, (signless) Laplacian matrix, distance matrix, distance (signless) Laplacian matrix, to obtain some known and new results. Moreover, we propose some problems for further research.", "revisions": [ { "version": "v1", "updated": "2016-12-02T12:06:24.000Z" } ], "analyses": { "keywords": [ "laplacian matrix", "applications", "adjacency matrix", "quotient matrix" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }