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框架为Petersen图的图式流形拓扑分类
引用本文:卢建立,陈清.框架为Petersen图的图式流形拓扑分类[J].河南师范大学学报(自然科学版),2011,39(1):23-26.
作者姓名:卢建立  陈清
作者单位:河南师范大学,数学与信息科学学院,河南,新乡,453007
基金项目:河南省杰出青年计划项目
摘    要:提出了"梳子树"的概念,引入新的编码的方法来标记图的H-等价类代表系,研究图式流形的同胚等价类计数问题,得到了以Petersen图为框架的图式流形Μ(G)的H-等价类的个数是6个的新结果.

关 键 词:图式流形  同胚等价类  Petersen  

Graphlike Manifold with Contraction Petersen Graph
LU Jian-li,CHEN Qing.Graphlike Manifold with Contraction Petersen Graph[J].Journal of Henan Normal University(Natural Science),2011,39(1):23-26.
Authors:LU Jian-li  CHEN Qing
Institution:(College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,China)
Abstract:This paper studies the enumeration problem of homeomorphic equivalence classes of graphlike manifold.It presents the definition of "comb tree",and introduces a new code method to mark the T-equivalence classes of graph G.At last,the numbers of H-classes of graphlike manifold are obtained and the contraction petersen graph is 6.
Keywords:graphlike manifold  homeomorphic equivalence classes  getersen graph
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