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Nowhere-zero 3-flows in Cayley graphs on generalized dihedral group and generalized quaternion group
  • ISSN号：1673-3452
  • 期刊名称：Frontiers of Mathematics in China
  • 时间：2015.4
  • 页码：293-302
  • 分类：O157.5[理学—数学;理学—基础数学]
  • 作者机构：[1]洛阳师范学院数学科学学院,河南洛阳471022
  • 相关基金：国家自然科学基金资助项目,编号11301254; 河南省高等学校重点科研项目,编号13A110800; 洛阳师范学院青年基金资助项目,编号2012-QNJJ-003
  • 相关项目：群连通度和子图存在性及相关问题的研究
作者： Liangchen Li, Xiangwen Li*|
关键词： 点传递图, ABEL群, 处处非零3-流, vertex transitive graph, abelian group, nowhere-zero 3-flow
中文摘要：

Tutte猜想每个4-边连通图存在处处非零3-流.验证3-流猜想对于定义在Abel群上的点传递图是成立的,这个结果推广了Potocnik等在2005年的研究结果.

英文摘要：

It was conjectured that every 4-edge-connected graph admits a nowhere-zero 3-flow by Tutte.This conjecture was verified for vertex transitive graphs on abelian group,which generalized the result of the research by Potocnik in 2005.

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期刊信息
  • 《中国数学前沿：英文版》
  • 主管单位:中华人民共和国教育部
  • 主办单位:高等教育出版社
  • 主编：张恭庆
  • 地址：北京市朝阳区惠新东街4号富盛大厦15层
  • 邮编：100029
  • 邮箱：
  • 电话：010-58556485
  • 国际标准刊号：ISSN：1673-3452
  • 国内统一刊号：ISSN：11-5739/O1
  • 邮发代号:80-964
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国剑桥科学文摘,美国科学引文索引（扩展库）
  • 被引量:10