On (g

Let G be a graph with vertex set V(G) and edge set E(G),and let and be two integer-valued functions defined on V(G) such that gf for every x∈V(G),A(g,f)-factor of G is a spanning subgraph F of G such that g(x)≤dF(x0≤f(x) for every x∈V(G).A graph G is called a(g,f)-3-covered graph if any three edges of belong to a(g,f)-factor.In this paper,sufficient conditions for graphs to be covered are given.