Let $ S $ be a semigroup with $0 $ and $ R $ be a ring with $1 $. We extend the definition of
the zero-divisor graphs of commutative semigroups to not necessarily commutative …

Let S be a (multiplicative) commutative semigroup with 0, Z (S) the set of zero-divisors of S,
and na positive integer. The zero-divisor graph of S is the (simple) graph Γ (S) with vertices Z …

Recently, many mathematicians studied the interplay between ring-theoretic aspects and
graph-theoretic aspects. The intersection graph was first introduced by Bosak [6] arising from …

In this dissertation, we study the zero-divisor graphs of commutative semigroups with 0. The
study of zero-divisor graphs was initiated by Istvan Beck in 1988, when he proposed a …

In this article, we study commutative zero-divisor semigroups determined by graphs. We
prove that for all n≥ 4, the complete graph K n together with two end vertices has a unique …

In this paper we study zero-divisor graphs of semirings. We show that all zero-divisor graphs
of (possibly noncommutative) semirings are connected and have diameter less than or …

Annihilator graphs of a commutative semigroup whose Zero-divisor graphs are a complete
graph with an end vertex Page 1 Acta Univ. Sapientiae Informatica 14, 1 (2022) 119–136 DOI …

Similar to the case of commutative rings, we define the notion of a zero-divisor graph of a
commutative semiring R with respect to an ideal I of R, denoted by\Gamma_I (R) Γ I (R). That …

The zero-divisor graph of a commutative semigroup with zero is a graph whose vertices are
the nonzero zero-divisors of the semigroup, with two distinct vertices joined by an edge in …

Let S be a (multiplicative) commutative semigroup with 0. Associate to S a (simple) graph G
(S) with vertices the nonzero zero-divisors of S, and two distinct vertices x and y are adjacent …