图G称为分数(k,m)-消去图,若从G中删除任意m条边的剩余子图依然存在分数k-因子.称G是一个独立集可去的分数(k,m)-消去图,如果对G中任意独立集I,G-I是分数(k,m)-消去图.本文给出独立集可去的分数(k,m)-消去图的度和条件,并讨论了所得结论的最优性.
A graph Gis called a fractional(k,m)-deleted graph if any medges is removed fromGthen the result graph admits a fractional k-factor.Gis also called fractional ID-(k,m)-deleted graph if G-Iis fractional(k,m)-deleted graph for any independent set I.In this paper,the degree sum condition for fractional ID-(k,m)-deleted graph was given,and show that the result is best possible in some sense.