{ "id": "1101.3386", "version": "v1", "published": "2011-01-18T05:52:00.000Z", "updated": "2011-01-18T05:52:00.000Z", "title": "The crossing number of folded hypercubes", "authors": [ "Haoli Wang", "Yuansheng Yang", "Yan Zhou", "Wenping Zheng", "Guoqing Wang" ], "categories": [ "math.CO" ], "abstract": "The {\\it crossing number} of a graph $G$ is the minimum number of pairwise intersections of edges in a drawing of $G$. The {\\it $n$-dimensional folded hypercube} $FQ_n$ is a graph obtained from $n$-dimensional hypercube by adding all complementary edges. In this paper, we obtain upper and lower bounds of the crossing number of $FQ_n$.", "revisions": [ { "version": "v1", "updated": "2011-01-18T05:52:00.000Z" } ], "analyses": { "keywords": [ "crossing number", "minimum number", "complementary edges", "dimensional hypercube", "dimensional folded hypercube" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }