Results 91 to 100 of about 24,531 (183)

On the domination and signed domination numbers of zero-divisor graph

Electronic Journal of Graph Theory and Applications, 2016
Let $R$ be a commutative ring (with 1) and let $Z(R)$ be its set of zero-divisors. The zero-divisor graph $\Gamma(R)$ has vertex set $Z^*(R)=Z(R) \setminus \lbrace0 \rbrace$ and for distinct $x,y \in Z^*(R)$, the vertices $x$ and $y$ are adjacent if and ...
Ebrahim Vatandoost, Fatemeh Ramezani
doaj   +1 more source

Categorial properties of compressed zero-divisor graphs of finite commutative rings

, 2018
We define a compressed zero-divisor graph $\varTheta(K)$ of a finite commutative unital ring $K$, where the compression is performed by means of the associatedness relation.
Jevđenić, Sara, Stopar, Nik, Đurić, Alen   +2 more
core  

Zero-divisor graphs of non-commutative rings

Journal of Algebra, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akbari, S., Mohammadian, A.
openaire   +1 more source

The Szeged Index and Padmakar-Ivan Index on the Zero-Divisor Graph of a Commutative Ring

Contemporary Mathematics and Applications (ConMathA)
The zero-divisor graph of a commutative ring is a graph where the vertices represent the zero-divisors of the ring, and two distinct vertices are connected if their product equals zero.
Jinan Ambar, I Gede Adhitya Wisnu Wardhana, Abdurahim   +2 more
doaj   +1 more source

Decomposition of Neutrosophic Zero-divisor graph [PDF]

Neutrosophic Sets and Systems
Evaluating student performance in university English translation courses is a complex process that requires a comprehensive assessment of multiple factors.
Balakrishnan A, Kanchana M, Said Broumi, Thirugnanasambandam K   +3 more
doaj   +1 more source

On zero divisor graph of unique product monoid rings over Noetherian reversible ring [PDF]

Categories and General Algebraic Structures with Applications, 2016
Let $R$ be an associative ring with identity and $Z^*(R)$ be its set of non-zero zero divisors.  The zero-divisor graph of $R$, denoted by $Gamma(R)$, is the graph whose vertices are the non-zero  zero-divisors of  $R$, and two distinct vertices $r$ and $
Ebrahim Hashemi, Abdollah Alhevaz, Eshag Yoonesian   +2 more
doaj  

Graph-theoretic characterization of rings: Outer multiset dimension of compressed zero-divisor graphs

Ain Shams Engineering Journal
This paper investigates the outer multiset dimension (OMSD) of compressed zero-divisor graphs (CZDGs) associated with finite commutative rings (CRs). For a given ring A, the classical zero-divisor graph (ZDG) is refined by compressing its nodes based on ...
Amina Riaz, Hafiz Muhammad Afzal Siddiqui, Muhammad Bilal Riaz, Nasir Ali   +3 more
doaj   +1 more source

Randić spectrum of the weakly zero-divisor graph of the ring ℤn

AKCE International Journal of Graphs and Combinatorics
In this article, we find the Randić spectrum of the weakly zero-divisor graph of a finite commutative ring [Formula: see text] with identity [Formula: see text], denoted as [Formula: see text], where [Formula: see text] is taken as the ring of integers ...
Nadeem Ur Rehman, Nazim, Ahmad M. Alghamdi, Eman S. Almotairi   +3 more
doaj   +1 more source

Critical Groups of Graphs with Dihedral Actions II

, 2016
In this paper we consider the critical group of finite connected graphs which admit harmonic actions by the dihedral group Dn, extending earlier work by the author and Criel Merino.
Glass, Darren B.
core  

Zero-divisor graphs of reduced Rickart *-rings

Discussiones Mathematicae - General Algebra and Applications, 2017
For a ring A with an involution *, the zero-divisor graph of A, Γ*(A), is the graph whose vertices are the nonzero left zero-divisors in A such that distinct vertices x and y are adjacent if and only if xy* = 0.
Patil A.A., Waphare B.N.
doaj   +1 more source