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Let G be an(mg,mf)-graph,where g and f are integer-valued functions defined ov V(G)and such that 0≤g(x)≤f(x)for each x∈V(G).It is proved that (1)If z≠φ,both g and f may be not even,G has a (g,f)-factorization,where Z={x∈V(G):mf(x)-dG(x)≤t(x)or dG(x)-mg(x)