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途径正则有向图的途径正则不变性
  • ISSN号：1000-5854
  • 期刊名称：《河北师范大学学报：自然科学版》
  • 时间：0
  • 分类：O157.5[理学—数学;理学—基础数学]
  • 作者机构：[1]河北师范大学数学与信息科学学院,河北石家庄050016
  • 相关基金：国家自然科学基金（10771051 10971052）; 河北省自然科学基金（A2008000128）; 河北省教育厅科研基金（2009134）; 河北师范大学青年基金（L2008Q01）
作者： 刘稳[1]
关键词： 途径正则有向图, 字典式积, 直积, 完全正则Seidel-switching, walk-regular digraphs, lexicographic product, direct product, complete regular Seidel-switching
中文摘要：

给出了途径正则有向图的概念,利用矩阵理论、谱理论给出了途径正则有向图的补图、2个途径正则有向图的字典式积与直积都是途径正则的.此外,还定义了有向图的完全正则划分,证明了完全正则Seidel-switching不改变有向图的途径正则性.

英文摘要：

The lexicographic product and the direct product of walk-regular digraphs are all walk-regular by matrix theory and spectrum theory.Furthermore,the complete regular partition is defined,and it is showed that the complete regular Seidel-switching doesn＇t change the walk-regular property.

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期刊信息
  • 《河北师范大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:河北省教育厅
  • 主办单位:河北师范大学
  • 主编：蒋春澜
  • 地址：河北省石家庄市南二环东路20号
  • 邮编：050024
  • 邮箱：ziranb@mail.hebtu.edu.cn
  • 电话：0311-80786364
  • 国际标准刊号：ISSN：1000-5854
  • 国内统一刊号：ISSN：13-1061/N
  • 邮发代号:18-201
  • 获奖情况:
  • 全国优秀科技期刊,华北优秀科技期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,英国动物学记录,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）
  • 被引量:6209