Results 71 to 80 of about 1,283,908 (223)
On domination numbers of zero-divisor graphs of commutative rings
Electronic Journal of Graph Theory and ApplicationsZero-divisor graphs of a commutative ring R, denoted Γ(R), are well-represented in the literature. In this paper, we consider domination numbers of zero-divisor graphs. For reduced rings, Vatandoost and Ramezani characterized the possible graphs for Γ(R)
Sarah E. Anderson +3 more
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Multiplicative irreducibility of shifted multiplicative subgroups
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract In a recent breakthrough, Kalmynin resolved conjectures of Lev–Sonn and Sárközy on additive decompositions of multiplicative subgroups of prime fields. In this paper, inspired by a related conjecture of Sárközy, we prove multiplicative analogues of Kalmynin's results. We show that for every proper multiplicative subgroup G$G$, the shifted set (
Seoyoung Kim, Chi Hoi Yip, Semin Yoo
wiley +1 more source
L-zero-divisor graphs of direct products of L-commutative rings [PDF]
, 2011 L-zero-divisor graphs of L-commutative rings have been introduced and studied in [5]. Here we consider L-zero-divisor graphs of a finite direct product of L-commutative rings.
Kohan, M., Atani, S.
core +1 more source
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.
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On endomorphism-regularity of zero-divisor graphs
Discrete Mathematics, 2008 Let \(G\) be a graph and \(\text{End}(G)\) the semigroup consisting of all the endomorphisms of \(G\). An element \(a\) of a semigroup \(S\) is called regular if \(a=aba\) for some \(b\in S\), and \(S\) is called regular if every element in \(S\) is regular. A graph \(G\) is called end-regular if \(\text{End}(G)\) is regular.
Dancheng Lu, Tongsuo Wu
openaire +1 more source
Converting an Integer to a Decimal String in Under Two Nanoseconds
Software: Practice and Experience, Volume 56, Issue 8, Page 963-977, August 2026.ABSTRACT Objective Converting binary integers to variable‐length decimal strings is a fundamental operation in computing. Conventional fast approaches rely on recursive division and small lookup tables. The goal of this work is to develop a significantly faster method for this task.
Jaël Champagne Gareau, Daniel Lemire
wiley +1 more source
A Paradigmatic Approach to Find Equal Sum Partitions of Zero-Divisors via Complete Graphs
Journal of Chemistry, 2022 In computer science and mathematics, a partition of a set into two or more disjoint subsets with equal sums is a well-known NP-complete problem. This is a hard problem and referred to as the partition problem or number partitioning.
M. Haris Mateen +4 more
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A generalisation of Cameron's base size conjecture
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract Let G⩽Sym(Ω)$G\leqslant {\rm Sym}(\Omega)$ be a finite transitive permutation group with point stabiliser H$H$. A base for G$G$ is a subset of Ω$\Omega$ whose pointwise stabiliser is trivial, and the minimal cardinality of a base is called the base size of G$G$, denoted by b(G,Ω)$b(G, \Omega)$. Equivalently, b(G,Ω)$b(G, \Omega)$ is the minimal
Marina Anagnostopoulou‐Merkouri
wiley +1 more source
Characterizations of Three Classes of Zero-Divisor Graphs
, 2012 The zero-divisor graph Γ(R) of a commutative ring R is the graph whose vertices consist of the nonzero zero-divisors of R such that distinct vertices x and y are adjacent if and only if xy = 0.
John D. LaGrange
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Classification of Zero Divisor Graphs of a Commutative Ring With Degree Equal 7 and 8 [PDF]
, 2013 In 2005 J. T Wang investigated the zero divisor graphs of degrees 5 and 6.
Nazar Shuker, Husam Mohammad
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