(g.f)-Factorizations (m,r)-Orthogonal To An Arbitrary Subgraph In Several Types Of Graph

This paper mainly proves the above five conclusions.Theorem 1 Let G be a (mg+m-1, mf-m+1)-graph, m,r be integer and let g(x) and f(x) be two integer-valued functions defined on V(G), such that 5/2 r-1 ≤g(x)