{ "id": "1308.2281", "version": "v1", "published": "2013-08-10T06:42:15.000Z", "updated": "2013-08-10T06:42:15.000Z", "title": "On the determinant of the distance matrix of a bicyclic graph", "authors": [ "Shi-Cai Gong", "Ju-Li Zhang", "Guang-Hui Xu" ], "categories": [ "math.CO" ], "abstract": "Two cycles are referred as disjoint if they have no common edges. In this paper, we will investigate the determinant of the distance matrix of a graph, giving a formula for the determinant of the distance matrix of a bicyclic graph whose two cycles are disjoint, which extends the formula for the determinant of the distance matrix of a tree, as well as that of a unicyclic graph.", "revisions": [ { "version": "v1", "updated": "2013-08-10T06:42:15.000Z" } ], "analyses": { "subjects": [ "05C50", "15A18" ], "keywords": [ "distance matrix", "bicyclic graph", "determinant", "unicyclic graph" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }