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一类1-边可删的导出匹配可扩图的刻画
引用本文:周素静,王秀梅.一类1-边可删的导出匹配可扩图的刻画[J].河南师范大学学报(自然科学版),2007,35(3):21-23.
作者姓名:周素静  王秀梅
作者单位:1. 郑州铁路职业技术学院,郑州,450052
2. 郑州大学,数学系,郑州,450052
摘    要:设图G是有2n个顶点的简单图,如果删去G的任意k条边后得到的图是导出匹配可扩的,则称G是k-边可删的导出匹配可扩图.给出了4-正则、不包含K1,4作为导出子图、1-边可删的导出匹配可扩图的完全刻画.

关 键 词:导出匹配  导出匹配可扩  1-边可删的导出匹配可扩图
文章编号:1000-2367(2007)03-0021-03
修稿时间:2006-06-28

The Characterization of 1-edge Deletable IM-extendable Graphs
ZHOU Su-jing,WANG Xiu-mei.The Characterization of 1-edge Deletable IM-extendable Graphs[J].Journal of Henan Normal University(Natural Science),2007,35(3):21-23.
Authors:ZHOU Su-jing  WANG Xiu-mei
Institution:1. Zhengzhou Railway Vocational and Technical College, Zhengzhou 450052,China;2. Department of Mathematics Zhengzhou University,Zhengzhou 450052,China
Abstract:Let G be a simple graph with |V(G)|=2n.G is called a k-edge deletable IM-extendable graph,if,for every F■E(G) with |F|=k,G-F is IM-extendable.The result that C26 is the only 4-regular and K1,4-free 1-edge deletable IM-extendable graph is obtained in this paper.The result is of great importance to further study of IM-extendability.
Keywords:Induced matching  IM-extendable  1-edge-deletable IM-extendable graphs
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