数学

2n阶(n-2)-正则二部图的最小基本圈基

  • 何常香 ,
  • 刘伟龙
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  • 上海理工大学~~理学院, 上海200093)
何常香, 女, 副教授, 硕士生导师, 研究方向为代数图论. E-mail: changxiang-he@163.com.

收稿日期: 2015-04-24

  网络出版日期: 2016-07-25

基金资助

国家自然科学基金(11201303, 11301340);
上海市自然科学基金(12ZR1420300)

Minimum fundamental cycle basis of (n-2)-regular bipartite graphs with order 2n

  • HE Chang-Xiang ,
  • LIU Wei-Long
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Received date: 2015-04-24

  Online published: 2016-07-25

摘要

设图,G,为,2n,阶,(n-2)-,正则二部图.构造了图,G,的一个基本圈基并且证明了此圈基就是图,G,的一个最小基本圈基,同时还确定了任意最小基本圈基对应的生成树的结构

本文引用格式

何常香 , 刘伟龙 . 2n阶(n-2)-正则二部图的最小基本圈基[J]. 华东师范大学学报(自然科学版), 2016 , 2016(2) : 56 -61 . DOI: 2016.02.008

Abstract

Let G be an (n-2)- regular bipartite graph with order 2n. In this paper, we constructed a fundamental cycle basis of G and proved this basis is a minimum fundamental cycle basis. For any minimum fundamental cycle basis, we also determined the structure of the spanning tree corresponding to it.

参考文献

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