期刊文献+

二部图中的独立6-圈(英文) 被引量:2

Disjoint 6-cycles in Bipartite Graphs
下载PDF
导出
摘要 本文主要证明了对二部图G=(V_1,V_2,E),|V_1|=|V_2|=3k,其中k为正整数.若G的最小度至少为2k-1,则G至少包含k-1个独立6-圈. Let G = (V1,V2;E) be a bipartite graph with |V1|= |V2| = 3k, where k is a positive integer. We show that if the minimum degree of G is at least 2k - 1, then G contains at least k - 1 disjoint 6-cycles.
作者 朱莎 郝荣霞
出处 《数学进展》 CSCD 北大核心 2007年第5期617-626,共10页 Advances in Mathematics(China)
基金 The research was partly supported by Beijing Jiaotong University(No.2004SM054) NSFC(No.60373030,No.10271017,No.10271048)
关键词 二部图 6-圈 独立6-圈 bipartite graph 6-cycle disjoint 6-cycle
  • 相关文献

参考文献6

  • 1Corradi, K. and Hajnal, A., On the maximal number of independent circuits in a graph, Acta Math Acad Sci Hunger, 1963, 14:423-439.
  • 2Wang H., On the maximal number of independent cycles in a bipartite graph, J. Combin. Theory, Set B, 1996, 67: 152-164.
  • 3Zhanh, D., Wang H., Disjoint directed quadrilaterals in a directed graph, J. Graph Theory, 2005, 50: 91-104.
  • 4Randerath, B., On quadrilaterals in a graph, Discrete Math, 1999, 203: 215-228.
  • 5Wang H., On the maximal number of independent cycles in a graph, Discrete Math, 1999, 205: 183-190.
  • 6Wang H., Independent directed triangles in a directed graph, Graphs and Combinatorics, 2000, 16: 453-462.

引证文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部