{ "id": "2208.01950", "version": "v1", "published": "2022-08-03T09:58:17.000Z", "updated": "2022-08-03T09:58:17.000Z", "title": "An upper bound on the nullity of signed graphs", "authors": [ "Keming Liu", "Xiying Yuan" ], "categories": [ "math.CO" ], "abstract": "In this paper, an upper bound on the nullity of signed graphs in terms of the cyclomatic number and the number of pendant vertices is proved, and the corresponding extremal signed graphs are completely characterized.", "revisions": [ { "version": "v1", "updated": "2022-08-03T09:58:17.000Z" } ], "analyses": { "keywords": [ "upper bound", "corresponding extremal signed graphs", "pendant vertices", "cyclomatic number" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }