Results 91 to 100 of about 1,233,365 (217)
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
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Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic
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
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Vinayak Joshi +2 more
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Graph Decomposition Techniques in Neutrosophic Zero Divisor Models of Commutative Ring [PDF]
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
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The Szeged Index and Padmakar-Ivan Index on the Zero-Divisor Graph of a Commutative Ring
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
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A New Type of Zero Divisor Graphs of a Lattice, t-Zero Divisor Graphs
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.
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Computing the Forgotten Topological Index for Zero Divisor Graphs of MV-Algebras
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
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
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Some results on the total zero-divisor graph of a commutative ring [PDF]
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
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Generalized zero-divisor graph of ∗-rings
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
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