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关于分数(g,f)-因子消去图
引用本文:李珍萍,闫桂英,章祥荪.关于分数(g,f)-因子消去图[J].应用数学,2003,16(1):148-154.
作者姓名:李珍萍  闫桂英  章祥荪
作者单位:中国科学院应用数学研究所,北京,100080
基金项目:ResearchsupportedbytheNationalNaturalScienceFoundationofChina,byNational 973FundamentalResearchProjectofChinaon”AppliedTheoryandHigh PerformanceSoftwareforIT”(60 0 0 2 0 0 1)
摘    要:一个图称为分数(g,f)-因子消去图,如果去掉图G中的任何一条边e图G仍有一个分数(g,f)-因子。本文分别给出了一个力是分数1-因子消去图和分数2-因子消去图的几个充分条件,并给出一个图有一个分数(g,f)-因子不含给定对集中任何一条边的充要条件。

关 键 词:  分数(g  f)-因子  分数(g  f)-因子消去图

On Fractional( g, f) - deleted Graphs
LI Zhen-ping,YAN Gui-ying,ZHANG Xiangsun.On Fractional( g, f) - deleted Graphs[J].Mathematica Applicata,2003,16(1):148-154.
Authors:LI Zhen-ping  YAN Gui-ying  ZHANG Xiangsun
Abstract:A graph G is fractional (g,f)-deleted if deleting any edge of G,there exists a fractional (g,f)-factor.In this paper,we give some sufficient conditions for a graph to be fractional 1-deleted and fractional 2-deleted.We also give a necessary and sufficient condition for a graph to have a fractional (g,f)-factor excluding any edge of a maching.
Keywords:Graph  Fractional (g  f)-factor  Fractional (g  f)-deleted
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