Results 101 to 110 of about 1,460,755 (212)

The Zero-Divisor Graphs of Variation Monogenic Semigroups

Scientific Journal of King Faisal University: Basic and Applied Sciences, 2020
The undirected graph Γ(〖VS〗_Mn) is the zero-divisor graph of the monogenic semigroup SM with zero. The non-zero vertices xi and xj of this graph are adjacent whenever i + j > n and gcd⁡(i,j)=1, where n is the order of Γ(〖VS〗_Mn).
Bana Jawid Al Subaiei, Abolape Deborah Akwu   +1 more
doaj   +1 more source

Laplacian spectrum of weakly zero-divisor graph of the ring $\mathbb{Z}_{n}$

, 2023
Let $R$ be a commutative ring with unity. The weakly zero-divisor graph $W\Gamma(R)$ of the ring $R$ is the simple undirected graph whose vertices are nonzero zero-divisors of $R$ and two vertices $x$, $y$ are adjacent if and only if there exists $r\in {\
Mathil, Praveen, Shariq, Mohd, Kumar, Jitender   +2 more
core  

On generalized zero divisor graph of a poset

Discrete Applied Mathematics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vinayak Joshi, B. N. Waphare, H. Y. Pourali   +2 more
openaire   +3 more sources

Induced subgraphs of zero-divisor graphs

, 2022
The zero-divisor graph of a finite commutative ring with unity is the graph whose vertex set is the set of zero-divisors in the ring, with $a$ and $b$ adjacent if $ab=0$. We show that the class of zero-divisor graphs is universal, in the sense that every
Chelvam, T. Tamizh, Arunkumar, G., Cameron, Peter J., Kavaskar, T.   +3 more
core  

A Submodule-Based Zero Divisor Graph for Modules

, 2019
Let R be a commutative ring with identity and M be an R-module. The zero divisor graph of M is denoted by Gamma(M). In this study, we are going to generalize the zero divisor graph Gamma(M) to submodule-based zero divisor graph Gamma(M, N) by replacing ...
Payrovi, Shiroyeh, Sevim, Esra Sengelen, Babaei, Sakineh   +2 more
core   +1 more source

A New Type of Zero Divisor Graphs of a Lattice, t-Zero Divisor Graphs

Turkish Journal of Mathematics and Computer Science
In this paper, we introduce the t-zero divisor graph $\Gamma_{T}(L)$, which is a generalization of the zero divisor graph of a lattice $\Gamma(L)$, where $t$ is a triangular norm on $L$. We investigate which properties hold in $t$-zero divisor graphs for special $t$-norms while giving some additional properties of the zero divisor graph.
openaire   +2 more sources

The zero divisor graph of 2 x 2 matrices over a field

, 2016
A zero divisor graph, Γ(R), is formed from a ring R by having each element of Z(R)\{0} to be a vertex in the graph and having two vertices u and v adjacent if the corresponding elements from the ring are nonequal and have product equal to zero.
Ashrafi, Ali Reza, Tadayyonfar, Adel
core  

SOME PROPERTIES OF THE ZERO-DIVISOR GRAPH FOR THE RING OF GAUSSIAN INTEGERS MODULO n

, 2011
This paper is a continuation for the study of the zero-divisor graph for the ring of Gaussian integers modulo n, Γ(ℤn[i]) in [8] (Emad Abu Osba, Salah Al-Addasi and Nafez Abu Jaradeh. Zero divisor graph for the ring of Gaussin integers modulo n.
EMAD ABU OSBA, BASEM AL-KHAMAISEH, SALAH AL-ADDASI   +2 more
core   +1 more source

Planar Zero-Divisor Graphs

, 2006
Associated to every nonzero commutative ring with identity is a graph whose vertices are the nonzero zero-divisors, and such that two distinct vertices x and y are adjacent if and only if xy = 0.
Chapman, Jeremy M.
core  

The Wiener index and the Wiener complexity of the zero-divisor graph of a ring [PDF]

We calculate the Wiener index of the zero-divisor graph of a finite semisimple ring. We also calculate the Wiener complexity of the zero-divisor graph of a finite simple ring and find an upper bound for the Wiener complexity in the semisimple ...
Dolžan, David
core   +1 more source