Simplified existence theorems on all fractional [a, b] -factors

摘要

Let G be a graph with order n and let g,f:V(G)→N such that g(v)≤f(v) for all v ε V(G). We say that G has all fractional (g,f)-factors if G has a fractional p-factor for every p:V(G)→N such that g(v)≤p(v)≤f(v) for every v ε V(G). Let a