Results 61 to 70 of about 1,233,365 (217)

The Zero Divisor Graph of the Ring Zqp

Science Journal of University of Zakho, 2015
In this paper we construct a star zero divisor graph from the zero divisor graph of the ring Zqp. The star zero divisor graph is obtained by removing some vertices from the zero divisor graph Γ(Zqp), in different ways , but the best way to get star zero divisor graph SΓ(Zqp) is by removing an odd number of zero divisors.
Nazar H. Shuker, Payman A. Rashed
openaire   +2 more sources

On the maximum likelihood degree of Gaussian graphical models

Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.
Abstract In this paper we revisit the likelihood geometry of Gaussian graphical models. We give a detailed proof that the ML‐degree behaves monotonically on induced subgraphs. Furthermore, we complete a missing argument that the ML‐degree of the nth$n{\rm th}$ cycle is larger than 1 for any n⩾4$n\geqslant 4$, therefore completing the characterization ...
Carlos Améndola, Rodica Andreea Dinu, Mateusz Michałek, Martin Vodička   +3 more
wiley   +1 more source

Cut-structures in zero-divisor graphs of commutative rings

, 2016
Zero-divisor graphs, and more recently, compressed zero-divisor graphs are well represented in the commutative ring literature. In this work, we consider various cut structures, sets of edges or vertices whose removal disconnects the graph, in both ...
Axtell, Mike, Baeth, Nicholas R., Stickles, Joe   +2 more
core   +1 more source

Structure and Computation

Noûs, Volume 60, Issue 3, Page 593-605, September 2026.
ABSTRACT It is a truism of mathematics that differences between isomorphic number systems are irrelevant to arithmetic. This truism is deeply rooted in the modern axiomatic method and underlies most strands of arithmetical structuralism, the view that arithmetic is about some abstract number structure.
Balthasar Grabmayr
wiley   +1 more source

Fault-Tolerant Edge Metric Dimension of Zero-Divisor Graphs of Commutative Rings

Axioms
In 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, Malkesh Singh, Vijay Kumar Bhat   +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, Abolape Deborah Akwu   +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, Ülker Alper, Kircali Gürsoy Necla   +2 more
doaj   +1 more source

Tropical Donagi theorem

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract The tropical n$n$‐gonal construction was introduced in recent work by the first author and D. Zakharov and structural results for n=2,3$n = 2,3$ were established. In this paper, we explore the construction for n=4$n = 4$ and prove a tropical analogue of Donagi's theorem which states that the tetragonal construction is a triality which ...
Felix Röhrle, Thomas Saillez
wiley   +1 more source

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

Coloring of zero-divisor graphs of posets and applications to graphs associated with algebraic structures

, 2022
In this paper, we characterize chordal and perfect zero-divisor graphs of finite posets. Also, it is proved that the zero-divisor graphs of finite posets and the complement of zero-divisor graphs of finite $0$-distributive posets satisfy the Total ...
Khandekar, Nilesh, Joshi, Vinayak
core   +1 more source