{ "id": "0901.1356", "version": "v1", "published": "2009-01-10T07:24:42.000Z", "updated": "2009-01-10T07:24:42.000Z", "title": "A Characterization On Potentially $K_6-C_4$-graphic Sequences", "authors": [ "Lili Hu", "Chunhui Lai" ], "comment": "14 pages", "categories": [ "math.CO" ], "abstract": "For given a graph $H$, a graphic sequence $\\pi=(d_1,d_2,...,d_n)$ is said to be potentially $H$-graphic if there exists a realization of $\\pi$ containing $H$ as a subgraph. Let $K_m-H$ be the graph obtained from $K_m$ by removing the edges set $E(H)$ where $H$ is a subgraph of $K_m$. In this paper, we characterize the potentially $K_6-C_4$-graphic sequences. This characterization implies a theorem due to Hu and Lai [7].", "revisions": [ { "version": "v1", "updated": "2009-01-10T07:24:42.000Z" } ], "analyses": { "subjects": [ "05C07" ], "keywords": [ "graphic sequence", "edges set", "characterization implies" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }