Results 91 to 100 of about 1,397,793 (213)
Hosoya and Wiener Index of Zero-Divisor Graph of Z pm q2
Zanco Journal of Pure and Applied Sciences, 2019 In this work, we study zero-divisor graph of the ring Zpmq2 and give some properties of this graph. Furthermore we find Hosoya polynomial and Wiener index for this graph.
Nazar H. Shuker +2 more
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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 +1 more
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
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 +3 more
core
Adjacency spectra and Laplacian integrality of zero divisor graphs over some rings
Kuwait Journal of ScienceLet 𝑅 be a commutative ring and let 𝑍∗ (𝑅) denote the set of non-zero zero divisors of 𝑅. The zero divisor graph 𝛤(𝑅) is defined as the simple graph with vertex set 𝑍∗ (𝑅), where two distinct vertices 𝑥, 𝑦 ∈ 𝑍∗ (𝑅) are adjacent if and only if 𝑥𝑦 = 0.
Bilal Ahmad Rather +3 more
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Degree Distance of Zero-Divisor Graph Г[Z_n ] [PDF]
, 2020 In this article, degree distance of zero-divisor graph Г[Z_n ] is computed for n=p^2,n=pq and n=p^3, where p,q are distinct prime ...
N.feyza YALÇIN, N.feyza Yalçın
core +2 more sources
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
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A New Type of Zero Divisor Graphs of a Lattice, t-Zero Divisor Graphs
Turkish Journal of Mathematics and Computer ScienceIn 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
Zero-Divisor Graph of Commutative Ring ℤp1q1 x ℤp2q2
, 2023 A commutative ring R with zero-divisor Z(R), represented into the zero-divisor graph r(R) whose vertices consist of x,yeZ(R), with distinct vertices x and y adjacent if and only if xy=0.
Siregar, Husna Zahidah Slawat
core
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 +2 more
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