Results 91 to 100 of about 1,233,365 (217)

Graph-theoretic characterization of rings: Outer multiset dimension of compressed zero-divisor graphs

open access: yesAin Shams Engineering Journal
This paper investigates the outer multiset dimension (OMSD) of compressed zero-divisor graphs (CZDGs) associated with finite commutative rings (CRs). For a given ring A, the classical zero-divisor graph (ZDG) is refined by compressing its nodes based on ...
Amina Riaz   +3 more
doaj   +1 more source

Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic

open access: yesProceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.
Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley   +1 more source

On generalized zero divisor graph of a poset

open access: yesDiscrete Applied Mathematics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vinayak Joshi   +2 more
openaire   +3 more sources

Graph Decomposition Techniques in Neutrosophic Zero Divisor Models of Commutative Ring [PDF]

open access: yesNeutrosophic Sets and Systems
This research establishes the framework for neutrosophic zero divisor graphs, extending the capabilities of existing fuzzy zero divisor graph models. While fuzzy models account for partial uncertainty through degrees of membership, they often fail to ...
K. Gunasekar, P. Muralikrishna
doaj   +1 more source

The Szeged Index and Padmakar-Ivan Index on the Zero-Divisor Graph of a Commutative Ring

open access: yesContemporary 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
doaj   +1 more source

A New Type of Zero Divisor Graphs of a Lattice, t-Zero Divisor Graphs

open access: yesTurkish Journal of Mathematics and Computer Science
In 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

Computing the Forgotten Topological Index for Zero Divisor Graphs of MV-Algebras

open access: yes, 2021
Topological indices are numerical values in graphs. Recently, they have been an attractive topic and multidisciplinary research area in mathematics, computer science, chemistry, pharmacy, and etc.
Necla KIRCALI GÜRSOY   +1 more
core   +1 more source

Wiener index of an ideal-based zero-divisor graph of commutative ring with unity

open access: yesAKCE International Journal of Graphs and Combinatorics
The Wiener index of a connected graph G is [Formula: see text]. In this paper, we obtain the Wiener index of H-generalized join of graphs [Formula: see text]. As a consequence, we obtain some earlier known results in [Alaeiyan et al. in Aust. J.
Balamoorthy S.   +2 more
doaj   +1 more source

Some results on the total zero-divisor graph of a commutative ring [PDF]

open access: yesArab Journal of Mathematical Sciences
PurposeThe purpose of this paper is to characterize a commutative ring R with identity which is not an integral domain such that ZT(R), the total zero-divisor graph of R is connected and to determine the diameter and radius of ZT(R) whenever ZT(R) is ...
Subramanian Visweswaran
doaj   +1 more source

Generalized zero-divisor graph of ∗-rings

open access: yesAsian-European Journal of Mathematics
A ∗-ring [Formula: see text] is a ring with an involution ∗. Let [Formula: see text] denote the set of all nonzero zero-divisors of [Formula: see text]. We associate a simple (undirected) graph [Formula: see text] with vertex set [Formula: see text] and two distinct vertices [Formula: see text] and [Formula: see text] are adjacent in [Formula: see text]
Anita Lande, Anil Khairnar
openaire   +2 more sources

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