Results 11 to 20 of about 576,514 (220)

Non Deterministic Zero Divisor Graph [PDF]

open access: yesRatio Mathematica, 2023
A non-deterministic zero divisor graph refers to an element in a ring or algebraic structure that can multiply with another element to give zero, but the specific outcome of the multiplication is not uniquely determined.
Shakila Banu, Naveena Selvaraj
doaj   +3 more sources

Zero Divisor Graph of Quotient Ring [PDF]

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi
Recently, a lot of research has been carried out regarding graphs built from algebraic structures, including ring structures. One important example of a graph constructed from a ring is the zero divisor graph.
Ayunda Faizatul Musyarrofah   +2 more
doaj   +3 more sources

The Zero Divisor Graph of the Ring Zqp. [PDF]

open access: yesScience 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 ...
Nazar H. Shuker, Payman A. Rashed
doaj   +2 more sources

Zero divisor graphs of semigroups [PDF]

open access: yesJournal of Algebra, 2005
Let \(S\) be a commutative semigroup with \(0\). A simple graph \(G\) whose vertices are the nonzero zero divisors of \(S\) with two distinct vertices joined by an edge in case when their product in \(S\) is \(0\) is called the zero divisor graph of \(S\). In the paper some characterizations of graphs to be zero divisor graphs of a semigroup are given.
DeMeyer, Frank, DeMeyer, Lisa
openaire   +3 more sources

Eulerian and pancyclic zero-divisor graphs of ordered sets [PDF]

open access: yesAKCE International Journal of Graphs and Combinatorics
In this paper, we determine when the zero-divisor graph of a special class of a finite pseudocomplemented poset is Eulerian. Also, we deal with Hamiltonian, vertex pancyclic, and edge pancyclic properties of the complement of a zero-divisor graph of ...
Nilesh Khandekar, Vinayak Joshi
doaj   +2 more sources

Smarandache Zero Divisors [PDF]

open access: yes, 2001
Studying the notion of Smarandache zero divisor in semigroups and rings, illustrating them with examples and proving some interesting results about them.
Vasantha, Kandasamy
openaire   +4 more sources

Rings in which every left zero-divisor is also a right zero-divisor and conversely [PDF]

open access: yesJournal of Algebra and Its Applications, 2019
A ring [Formula: see text] is called eversible if every left zero-divisor in [Formula: see text] is also a right zero-divisor and conversely. This class of rings is a natural generalization of reversible rings. It is shown that every eversible ring is directly finite, and a von Neumann regular ring is directly finite if and only if it is eversible. We
Ghashghaei, E.   +3 more
openaire   +4 more sources

Classification of Genus Three Zero-Divisor Graphs [PDF]

open access: yes, 2023
In this paper, we consider the problem of classifying commutative rings according to the genus number of its associating zero-divisor graphs. The zero-divisor graph of R, where R is a commutative ring with nonzero identity, denoted by Γ(R), is the ...
Turki Alsuraiheed   +2 more
core   +1 more source

Dynamic multi‐objective optimisation of complex networks based on evolutionary computation

open access: yesIET Networks, EarlyView., 2022
Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
wiley   +1 more source

Induced subgraphs of zero-divisor graphs [PDF]

open access: yes, 2023
Funding: Peter J. Cameron acknowledges the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme Groups, representations and applications: new perspectives (supported by EPSRC grant no. EP/R014604/1)
Chelvam, T. Tamizh   +7 more
core   +1 more source

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