Domination and Independence Numbers of Γ(Zn)

The zero divisor graph of a commutative ring with one ( say R) is a graph whose vertices are the nonzero zero-divisors of this ring, with two distinct vertices are adjacent in case their product is zero. This graph is denoted by Γ(R). We evaluate the domination number of Γ(Zn). We find out that the domination number of Γ(Zpα11 ×p α2 2...×p αk k) is equal to k. We compute the independence number of Γ(Zn) for some cases of n. For instance w