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图的上可嵌入性与独立数、非邻节点度和
引用本文:欧阳章东,黄元秋,张启明.图的上可嵌入性与独立数、非邻节点度和[J].应用数学学报,2007,30(4):689-698.
作者姓名:欧阳章东  黄元秋  张启明
作者单位:1. 湖南师范大学数学系,长沙,410081
2. 湖南工业大学数学系,长沙,412007
摘    要:本文研究了图的上可嵌入性与独立数、非邻节度点和之间的关系,得到了一些新的上可嵌入图类,推广了—个相关结果.从而,为进一步研究图的上可嵌入性提供了一定的理论基础.

关 键 词:  Betti亏数  上可嵌入性  独立数
修稿时间:2006-11-14

Upper Embeddability of Graphs and Independent Number, the Degree Sum of Nonadjacent Vertices
OUYANG ZHANGDONG,HUANG YUANQIU,ZHANG QIMING.Upper Embeddability of Graphs and Independent Number, the Degree Sum of Nonadjacent Vertices[J].Acta Mathematicae Applicatae Sinica,2007,30(4):689-698.
Authors:OUYANG ZHANGDONG  HUANG YUANQIU  ZHANG QIMING
Institution:1,Department of Mathematics, Hunan Normal University, Chang Sha 410081;2,Department of Mathematics, Hunan Normal University, Chang Sha 410081;3,Department of Mathematics, Hunan University of Technology, Zhu Zhou 412007
Abstract:This paper studies the relationship between the upper embeddability of graphs and independent number,the degree sum of nonadjacent vertices,obtains some new classes of upper embeddable graphs,and generalizes a relevant result.Thus,it provides some theoretical foundation for further research on the upper embeddability of graphs.
Keywords:graph  betti deficiency number  upper embeddability  independent number
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