-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...

Let R be an associative ring with two-sided multiplicative identity. In this talk, in the

case that R is a commutative a-compatible ring, we determine the diameter (and girth)

of the zero-divisor graphs ...

Let R be an associative ring with two-sided multiplicative identity. In this paper, in the case that R is a commutative alpha-compatible ring, we compare the diameter (and girth) of the

zero-divisor graphs Gamma(R) ...

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...