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六阶图G与Sn的积图的交叉数
引用本文:苏振华,黄元秋.六阶图G与Sn的积图的交叉数[J].数学研究,2011,44(4):411-417.
作者姓名:苏振华  黄元秋
作者单位:1. 湖南怀化学院数学系,湖南怀化,418008
2. 湖南师范大学数学系,湖南长沙,410081
基金项目:湖南省教育厅资助项目,国家自然科学基金资助项目
摘    要:确定图的交叉数是NP.完全问题.目前已确定交叉数的六阶图与星图的笛卡尔积图极少。本文确定了—个六阶图G与星图5k积图的交叉数为Z(6,n)+2n+n/2].

关 键 词:交叉数  笛卡尔积图  六阶图  星图

The Crossing Numbers of a 6-vertex Graph G Products Sn
Su Zhenhua Huang Yuanqiu.The Crossing Numbers of a 6-vertex Graph G Products Sn[J].Journal of Mathematical Study,2011,44(4):411-417.
Authors:Su Zhenhua Huang Yuanqiu
Institution:Su Zhenhua~1 Huang Yuanqiu~2 (l.Department of Mathematics,Hunan Huaihua University,Huaihua,Hunan,418008 2.Department of Mathematics,Hunan Normal University,Changsha,410081)
Abstract:Determining the crossing number of an arbitrary graph is NP-complete problem.Only a few crossing number of Cartesian products of the graph order 6 and stars had been determined. In this paper, we obtain the conclusion that cr(G × Sn) = Z(6,n)+2n+n/2].
Keywords:Metacyclic p-groups  Extraspecial p-groups  Maximal subgroup
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