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In Gao's previous work, the authors determined several graph degreeconditions of a graph which admits fractional factor in particular settings. Itwas revealed that these degree conditions are tight if $b=f(x)=g(x)=a$ for allvertices $x$ in $G$. In this paper, we continue to discuss these degreeconditions for admitting fractional factor in the setting that several verticesand edges are removed and there is a difference $\Delta$ between $g(x)$ and$f(x)$ for every vertex $x$ in $G$. These obtained new degree conditionsreformulate Gao's previous conclusions, and show how $\Delta$ acts in theresults. Furthermore, counterexamples are structured to reveal the sharpness ofdegree conditions in the setting $f(x)=g(x)+\Delta$.

The Extension Degree Conditions for Fractional Factor