Results 91 to 100 of about 1,397,791 (213)
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
Zero-divisor graphs of idealizations [PDF]
, 2006 We consider zero-divisor graphs of idealizations of commutative rings. Specifically, we look at the preservation, or lack thereof, of the diameter and girth of the zero-divisor graph of a ring when extending to idealizations of the ...
Stickles, J. +3 more
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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
doaj +1 more source
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
doaj +1 more source
Acta Crystallographica Section A, Volume 82, Issue 3, Page 145-162, May 2026.General formulas are presented that allow for the enumeration of polytypes based on translationally equivalent layers and two equivalent arrangements of adjacent layers involving distinct possible stacking vectors, t1 and t2. The results have been applied to the polytypism among two different polysomes of the family of so‐called silico‐ferrites of ...
Michael Francesco Salzmann +3 more
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
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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
doaj +1 more source
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
doaj +1 more source
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