2.Suppose that f and g are two nonconstantmeromorphic functions satisfying (∞,f)>1/2 and (∞,g)>1/2. If E(S. f)=E(S. g), E(o,f)=E(o,g) and E(∞,f) = E(∞,g),then f(z)=g(z).
5.It is known that the maximum genus of a connected graph is γ_M(G)=(β(G)+ξ(G))/2,where β(G)=|E(G)|-|V(G)|+1 is the cycle rank of G,ξ(G) is the Betti dificiency of G.
6.It is knows that the maximum genus γ M(G) of a connected graph is (β(G)-ξ(G))/2,where β(G)=|E(G)|-|V(G)|+1 is the cycle rank of G,ξ(G) is the Betti deficiency of G.
8.This paper shows that the Betti number ?ξ(G)? of a connected graph ?G? with no cut edges can be determined by the set ?{ξ(Ge)|e∈E(G)}?,given the exact expresstion of ?ξ(G).