-divisors of R. In this paper,

we examine the preservation of the diameter, girth and completeness of T(Γ(R)) under

extension to polynomial rings and rings of fractions. We also study the chromatic index,

clique number and independence number...

number 1, 2 or 3. Also, we investigate some properties of the annihilator graph under the extension of R to polynomial rings and rings of fractions. For instance, we show that the graphs AG(R) and AG(T(R)) are isomorphic, where T(R) is the total quotient...