{ "id": "0709.0290", "version": "v1", "published": "2007-09-03T19:12:00.000Z", "updated": "2007-09-03T19:12:00.000Z", "title": "$\\mathbb{Z}_{2}^{2}$-cordiality of complete and complete bipartite graphs", "authors": [ "Adrian Riskin" ], "comment": "4 pages", "categories": [ "math.CO" ], "abstract": "We prove that $K_{n}$ is $\\mathbb{Z}_{2}^{2}$-cordial if and only if $1 \\leq n \\leq 3$ and that $K_{m,n}$ is $\\mathbb{Z}_{2}^{2}$ if and only if it is false that $m=n=2$.", "revisions": [ { "version": "v1", "updated": "2007-09-03T19:12:00.000Z" } ], "analyses": { "subjects": [ "05C78" ], "keywords": [ "complete bipartite graphs", "cordiality" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0709.0290R" } } }