Results 41 to 50 of about 969 (214)

When zero-divisor graphs are divisor graphs

TURKISH JOURNAL OF MATHEMATICS, 2017
Summary: Let \(R\) be a finite commutative principal ideal ring with unity. In this article, we prove that the zero-divisor graph \(\Gamma(R)\) is a divisor graph if and only if \(R\) is a local ring or it is a product of two local rings with at least one of them having diameter less than \(2\). We also prove that \(\Gamma(R)\) is a divisor graph.
Abu Osba, Emad, Alkam, Osama
openaire   +2 more sources

On Reduced Zero-Divisor Graphs of Posets [PDF]

Journal of Discrete Mathematics, 2015
We study some properties of a graph which is constructed from the equivalence classes of nonzero zero-divisors determined by the annihilator ideals of a poset. In particular, we demonstrate how this graph helps in identifying the annihilator prime ideals of a poset that satisfies the ascending chain condition for its proper annihilator ideals.
Ashish Kumar Das, Deiborlang Nongsiang
openaire   +2 more sources

Distances in zero-divisor and total graphs from commutative rings–A survey

AKCE International Journal of Graphs and Combinatorics, 2016
There are so many ways to construct graphs from algebraic structures. Most popular constructions are Cayley graphs, commuting graphs and non-commuting graphs from finite groups and zero-divisor graphs and total graphs from commutative rings.
T. Tamizh Chelvam, T. Asir
doaj   +1 more source

Component graphs of vector spaces and zero-divisor graphs of ordered sets

AKCE International Journal of Graphs and Combinatorics
In this paper, nonzero component graphs and nonzero component union graphs of finite-dimensional vector spaces are studied using the zero-divisor graph of a specially constructed 0–1-distributive lattice and the zero-divisor graph of rings.
Nilesh Khandekar, Peter J. Cameron, Vinayak Joshi   +2 more
doaj   +1 more source

A generalization of zero-divisor graphs

CoRR, 2019
One reference added.
openaire   +2 more sources

THE ZERO DIVISOR IDEAL GRAPH OF THE RING ZN [PDF]

, 2020
In this paper we introduce the notion of Maxideal and Minideal zero divisor graphs of the maximal and minimal ideals of the ring Zn. We defined the Maxideal and Minideal zero divisor graphs of the ring Zn for any n, to be the zero divisor graph of ...
Nazar H Shuker, Payman A Rashed
core  

Eulerian and pancyclic zero-divisor graphs of ordered sets

AKCE 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   +1 more source

Reduced zero-divisor graphs of posets [PDF]

Transactions on Combinatorics, 2018
This paper investigates properties of the reduced zero-divisor graph of a poset. We show that a vertex is an annihilator prime ideal if and only if it is adjacent to all other annihilator prime ideals and there are always two annihilator prime ideals ...
Deiborlang Nongsiang, Promode Saikia
doaj   +1 more source

Converting an Integer to a Decimal String in Under Two Nanoseconds

Software: Practice and Experience, EarlyView.
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

Ring Classification of Ideal-Based Zero Divisor Graph with Vertices 9

Al-Kitab Journal for Pure Sciences
Let R be a finite commutative ring with a non-zero unit, and L be an ideal of R. focuses on expanding the notation of the Zero Divisor Graph to create what is known as the Ideal-Based Zero Divisor Graph. The main goal is to classify rings using the ideal-
Husam Q. Mohammad, Sahbaa A. Younus, Wafa Y. Yahya   +2 more
doaj   +1 more source