Zero divisor graphs for S-act

AA Estaji, T Haghdadi, AA Estaji - Lobachevskii Journal of Mathematics, 2015 - Springer
Let S always denote a semigroup with zero. This paper is devoted to study some of
properties zero-divisor graph of S-act. We give several generalizations of the concept of zero …

On a class of semigroup graphs

L Chen, T Wu - arXiv preprint arXiv:1211.6593, 2012 - arxiv.org
Let $ G=\Gamma (S) $ be a semigroup graph, ie, a zero-divisor graph of a semigroup $ S $
with zero element 0. For any adjacent vertices $ x, y $ in $ G $, denote $ C (x, y)={z\in V (G) …

The n-zero-divisor graph of a commutative semigroup

DF Anderson, A Badawi - Communications in Algebra, 2022 - Taylor & Francis
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 …

[PDF][PDF] On the zero-divisor graphs of commutative semigroups

HR Maimani, S Yassemi - Houston J. Math, 2011 - Citeseer
For a commutative semigroup S with 0, the zero-divisor graph of S denoted by Γ (S) is the
graph whose vertices are nonzero zero-divisor of S, and two vertices x, y are adjacent in …

[PDF][PDF] Median and center of zero-divisor graph of commutative semigroups

HR Maimani - 2008 - sid.ir
Abstract For a COMMUTATIVE SEMIGROUP S with 0, the ZERO-DIVISOR GRAPH of S
denoted by G (S) is the graph whose vertices are nonzero zero-divisor of S, and two vertices …

Zero-divisor semigroups and some simple graphs

T Wu, D Lu - Communications in Algebra®, 2006 - Taylor & Francis
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 …

Commutative zero-divisor semigroups of graphs with at most four vertices

G Tang, H Su, B Ren - Algebra Colloquium, 2009 - World Scientific
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 …

The annihilating-ideal graph of a ring

F Aliniaeifard, M Behboodi, Y Li - arXiv preprint arXiv:1411.4159, 2014 - arxiv.org
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 …

Simple graphs and zero-divisor semigroups

T Wu, L Chen - Algebra Colloquium, 2009 - World Scientific
In this paper, we provide examples of graphs which uniquely determine a zero-divisor
semigroup. We show two classes of graphs that have no corresponding semigroups …

Zero divisor graph associated to Γ− semigroup of Zn

PC Dey, K Patra - J. Math. Comput. Sci., 2021 - scik.org
In this paper we have studied the zero divisor graph G 1 (Z n (Γ)) associated with a Γ−
semigroup. Here we have taken two non empty sets Z n and set Γ of non zero zero divisors …