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图的边集亏数的插值定理
引用本文:吕长青. 图的边集亏数的插值定理[J]. 临沂师范学院学报, 2008, 30(3): 23-26
作者姓名:吕长青
作者单位:枣庄学院,数学系,山东,枣庄,277160
摘    要:类似于最大亏格计算公式中的Betti亏数的计算方法,利用Nebesky给出的Betti亏数的计算公式,证明了图G的边集亏数ξ(G,A)的内插定理,推广了已有的结果.

关 键 词:亏格  Betti亏数  边子集亏数

An Interpolation Theorem on the Sub-edge-set's Deficiency
LV Chang-qing. An Interpolation Theorem on the Sub-edge-set's Deficiency[J]. Journal of Linyi Teachers' College, 2008, 30(3): 23-26
Authors:LV Chang-qing
Affiliation:LV Chang-qing (Department of Mathematics, Zaozhuang College, Zaozhuang Shandong 277160, China)
Abstract:This paper first investigates an interpolation theorem on the number of odd components of co-tree in a connected graph according to the calculation method of Betti deficiency of a graph. Then it gives another interpolation theorem on sub-edge-set's deficiency according to the equation of Betti deficiency given by Nebesky and generalizes the already known results.
Keywords:genus  Betti deficiency  sub-edge-set's deficiency
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