江汉大学学报(自然科学版) ›› 2012, Vol. 40 ›› Issue (1): 5-7.

• 数学 •    下一篇

具有最小子树数目的单圈图与双圈图

刘名   

  1. 青海师范大学数学与信息科学系,青海西宁810008
  • 收稿日期:2011-10-11 出版日期:2012-02-20 发布日期:2013-11-07
  • 作者简介:刘名单位1986—),男,硕士生,研究方向:理论计算机。

Unicyclic Graph and Bicyclic Graph with the Minimal Number of Subtrees

LIU Ming   

  1. Department of Mathematics and Information,Qinghai Normal University,Xining 810008,Qinghai,China
  • Received:2011-10-11 Online:2012-02-20 Published:2013-11-07

摘要: 运用删边缩边原理,探讨了3种减小子树数目的变形,每一种变形都能比较一组图的子树数目的大小。在利用这些变形的基础上,刻画了具有最小子树数目的单圈图和双圈图的结构。

关键词: 子树数目, 单圈图, 双圈图

Abstract: This paper investigates three transformations for decreasing the number of subtrees, each of which can compare the number of subtrees for a pair of graphs. On the basis of these transformations, the unicyclic graph and bicyclic graph with the minimal number of subtrees are proposed.

Key words: the number of subtrees, unicyclic graph, bicyclic graph

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