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关于图的孤立韧度与分数因子存在性的若干结果
引用本文:李珍萍,闫桂英.关于图的孤立韧度与分数因子存在性的若干结果[J].应用数学学报,2004,27(2):324-333.
作者姓名:李珍萍  闫桂英
作者单位:中国科学院数学与系统科学研究院,北京,100080
基金项目:国家自然科学基金(60002001号),国家“973”信息技术与高性能软件资助
摘    要:本文讨论了图的孤立韧度I(G)以及与之相关的参数I^1(G)与图的分数因子存在性的关系,给出了I(G)及I^1(G)与图的分数点(边)消去性、分数L-可扩性及分数1,b]-因子存在性之间关系的一系列结果.

关 键 词:  孤立韧度  分数因子  分数点

SOME RESULT ON THE GRAPHIC ISOLATED TOUGHNESS AND THE EXISTENCE OF FRACTIONAL FACTOR
LI ZHENPING,YAN GUIYING Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing.SOME RESULT ON THE GRAPHIC ISOLATED TOUGHNESS AND THE EXISTENCE OF FRACTIONAL FACTOR[J].Acta Mathematicae Applicatae Sinica,2004,27(2):324-333.
Authors:LI ZHENPING  YAN GUIYING Academy of Mathematics and Systems Science  Chinese Academy of Sciences  Beijing
Institution:LI ZHENPING,YAN GUIYING Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080
Abstract:This paper discuss the relationship between the existence of fractional factor and the graphic isolated toughness I(G) or the parameter I'(G). We give a serious of results on the relationship between I(G) or I'(G) and the vertex (edge) delectable, fractional k-factor extensible and the existence of fractional 1,b]-factor.
Keywords:Graph  fractional factor  isolated toughness
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