Results 51 to 60 of about 456 (184)
The Zero-Divisor Graph of a Commutative Ring
Journal of Algebra, 1999 The authors study properties of the graph \(\Gamma(R)\) of a commuting ring \(R\) (with \(1\)) defined on the set of nonzero zero-divisors with adjacency relation \((x,y)\in E\) if \(xy= 0\) noting that the class of such graphs is strongly restricted by the (commutative) ring properties of \(R\).
Anderson, David F. +1 more
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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
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
Sombor index of zero-divisor graphs of commutative rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this paper, we investigate the Sombor index of the zero-divisor graph of ℤn which is denoted by Γ(ℤn) for n ∈ {pα, pq, p2q, pqr} where p, q and r are distinct prime numbers. Moreover, we introduce an algorithm which calculates the Sombor index of Γ(ℤn)
Gürsoy Arif +2 more
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An Algebraic Study of Parametric Stokes Phenomena
Studies in Applied Mathematics, Volume 157, Issue 1, July 2026.ABSTRACT We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the ...
Inês Aniceto, Samuel Crew
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Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract How hard is it to program n$n$ robots to move about a long narrow aisle while making a series of r−2$r-2$ intermediate stops, provided only w$w$ of the robots can fit across the width of the aisle? In this paper, we answer this question by calculating the rth$r{\text{th}}$‐sequential topological complexity of conf(n,w)$\text{conf}(n,w)$, the ...
Nicholas Wawrykow
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Fault-Tolerant Edge Metric Dimension of Zero-Divisor Graphs of Commutative Rings
AxiomsIn recent years, the intersection of algebraic structures and graph-theoretic concepts has developed significant interest, particularly through the study of zero-divisor graphs derived from commutative rings.
Omaima Alshanquiti +2 more
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COMPLEMENT OF THE ZERO DIVISOR GRAPH OF A LATTICE [PDF]
Bulletin of the Australian Mathematical Society, 2013 AbstractIn this paper, we determine when $\mathop{({\Gamma }_{I} (L))}\nolimits ^{c} $, the complement of the zero divisor graph ${\Gamma }_{I} (L)$ with respect to a semiprime ideal $I$ of a lattice $L$, is connected and also determine its diameter, radius, centre and girth. Further, a form of Beck’s conjecture is proved for ${\Gamma }_{I} (L)$ when $\
Joshi, Vinayak, Khiste, Anagha
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On the Foundational Arguments of Sufficient Dimension Reduction
WIREs Computational Statistics, Volume 18, Issue 2, June 2026.Contemporary Sufficient Dimension Reduction, a versatile method for extracting material information from data, can serve as a preprocessor for classical modeling and inference, or as a standalone theory that leads directly to statistical inference. ABSTRACT Sufficient dimension reduction (SDR) refers to supervised methods of dimension reduction that ...
R. Dennis Cook
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Annals of the New York Academy of Sciences, Volume 1560, Issue 1, June 2026.In a modified cerulein‐induced chronic pancreatitis (CP) mouse model, key hallmarks of CP were robustly induced in male and female C57BL/6J (BL6) and BALB/c mice, whereas cytokine responses varied partly according to strain and sex. The RORγt inhibitor GSK805 reduced Il23r expression in the BL6 strain, significantly decreased collagen I deposition and ...
Annika Thämlitz +5 more
wiley +1 more source