3正则的ID-因子临界图
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  • 英文篇名:3-Regular ID-Factor-Critical Graphs
  • 作者:梁彩霞
  • 英文作者:LIANG Caixia;School of Mathematics and Statistics, Zhaoqing University;
  • 关键词:完美匹配 ; 3-正则 ; 独立集 ; ID-因子临界图
  • 英文关键词:perfect matching;;3-regular;;independent set;;ID-factor-critical
  • 中文刊名:SJDI
  • 英文刊名:Journal of Zhaoqing University
  • 机构:肇庆学院数学与统计学院;
  • 出版日期:2017-03-28
  • 出版单位:肇庆学院学报
  • 年:2017
  • 期:v.38;No.144
  • 基金:广东省自然科学基金资助项目(2014A030310277);; 肇庆学院教学质量工程项目(80111323)
  • 语种:中文;
  • 页:SJDI201702004
  • 页数:4
  • CN:02
  • ISSN:44-1508/C
  • 分类号:14-17
摘要
如果对于G中任意和V|(G)|有相同奇偶性的独立集I,G-I有完美匹配,则称图G是ID-因子临界图,给出了3-正则的ID-因子临界图的刻画.
        G is ID-factor-critical if for every independent set I of G which has the same parity with V|(G)|,G-I has a perfect matching. The 3-regular ID-factor-critical Graphs are characterized.
引文
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    [9]LIANG Caixia,LIU Yan.The degree sum conditions of ID-factor-critical Graphs[J].Chinese Journal of Engineering Mathematics,2006,23:169-174.
    [10]马芳,刘岩.独立集可削去的因子临界图和无爪的独立集可削去因子临界图的度条件[J].华南师范大学学报(自然科学版),2008(2):29-33.
    [11]MA Fang,LIU Yan.ID-factor-critical and claw-free graphs of diameter 2[J].Southeast Asian Bulletin of Math,2009,33:879-883.
    [12]LIANG Caixia,LIU Yan.ID-factor-critical claw-free Graphs[J].Pacific Journal of Applied Mathematics,2013,4(5):253-258.
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