journal6 ›› 2012, Vol. 33 ›› Issue (3): 7-10.DOI: 10.3969/j.issn.1007-2985.2012.03.003

• 数学 • 上一篇    下一篇

无向H-图的新判定准则

  

  1. (1.重庆邮电大学数理学院,重庆 400065;2.重庆邮电大学数理学院2009级应用数学2班,重庆 400065)
  • 出版日期:2012-05-25 发布日期:2012-08-24
  • 作者简介:李红刚(1959-),男,重庆涪陵人,重庆邮电大学数理学院副教授,主要从事非线性泛函分析研究.
  • 基金资助:

    重庆市教委资助项目(KJ091315)

New Judging Criterion of Undirected H-Graph

  1. (1.Faculty of Mathematics and Physics,Chongqing University of Posts and Telecommunications,Chongqing 400065,China;2.Class 2 Grade 2009,Applied Mathematics,Faculty of Mathematics and Physics,Chongqing University of Posts and Telecommunications,Chongqing 400065,China)
  • Online:2012-05-25 Published:2012-08-24

摘要:讨论了无向图G的等价有向图D(G)的构成,并利用布尔行列式det2(〖WTHX〗A〖WTBZ〗)和det2(〖WTHX〗A〖WTBZ〗)的性质,以及有向H-图的布尔行列式的判定方法和判定准则,给出了无向H-图的新特性和新判定准则.

关键词: 布尔行列式, 无向图, 等价有向图, 无向图特征行列式, 无向H-图判定准则

Abstract: The constitution of the equivalent directed graph D(G) of undirected graph G is discussed.By using the Boolean determinant det2(A) and it’s nature,as well as the criterion and methods of judging Boolean determinant for the directed H-graph,the new criterion and methods of judging Boolean determinant for the undirected H-graph are obtained.

Key words: Boolean determinant, undirected graph, equivalent directed graph, character determinant of undirected graph, criterion of undirected graph

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