06091165

j

06091165 Gao, Wei Liang, Li Xia, Youming $\sigma_2 (G)$ and fractional $k$-deleted graphs. J. South China Norm. Univ., Nat. Sci. Ed. 2011, No. 3, 39-43 (2011). 2011 South China Normal University, Shipai, Guangzhou ZH fractional $k$-factor fractional $k$-deleted graph Summary: A graph $G$ is fractional $k$-deleted if there exists a fractional $k$-factor in $G-e$ for any edge $e$ of $G$. It is proved that $G$ is a fractional $k$-deleted graph under certain conditions. The results are proved to be the best possible in some sense.