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一个五阶图与路及圈的联图的交叉数 被引量:3

Crossing Numbers of Join of Paths and Cycles with the Graph on Five Vertices
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摘要 确定图的交叉数是NP-complete问题,现有的关于联图的交叉数的结果比较少,为此,讨论了五阶图4G分别与nK1,Pn及Cn的联图的交叉数. The investigation on the crossing number of graphs is a NP-complete problem.There are only few results about crossing numbers of graphs obtained as join product of two graphs.In this paper,we study the crossing numbers of the join products G4+nK,G4+Pn and G4+Cn for the graphs G4 of order five.
作者 李敏
出处 《湖北文理学院学报》 2012年第11期11-14,共4页 Journal of Hubei University of Arts and Science
基金 湖北省自然科学基金项目(2012FFC05301)
关键词 交叉数 联图 画法 Crossing number Join Drawing Path Cycle
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参考文献7

  • 1GAREY M R, JOHNSON D S. Crossing number is NP-complete [J]. SIAM J Algebric and Discrete Methods, 1983(4): 312-316.
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二级参考文献14

共引文献10

同被引文献32

  • 1肖文兵,王红专,黄元秋.一个六阶图与星S_n的笛卡尔积交叉数[J].湖南文理学院学报(自然科学版),2004,16(4):15-17. 被引量:3
  • 2何小年,黄元秋.一类笛卡尔积交叉数[J].吉首大学学报(自然科学版),2005,26(1):8-11. 被引量:3
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  • 5Klesc M. The crossing numbers of Cartesian products of 5-vertex graphs [J]. Discrete Mathematics, 2001, 223 (1) :353-359.
  • 6Klesc M. The Join of Graphs and Crossing Numbers [J]. E- lectronic Notes in Discrete Mathematics, 2007, 28 ( 1 ) : 349-355.
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