the National Natural Science Foundation of China (No.60172003,19831080) by NSF of Shandong Province.
Let G be a graph with vertex set V(G) and edge set E(G) and let g and f be two integer-valued functions defined on V(G) such that 2k-1≤g(x) ≤ f(x) for all x ∈ V(G). Let H be a subgraph of G with mk edges . In this...
et G be a simple graph. Let g(x) and f(x) be integer-valued functions defined on V(C) with j(x)≥g(x)≥1 for all x∈V(G). It is proved that if G is an (mg+m-1, m-m+1)-graph andH is a [1,2]-subgraph with m edges, then ...