Results 31 to 40 of about 1,513 (227)

Classification of Zero Divisor Graphs of Commutative Rings of Degrees 11,12 and 13 [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2014
In 2005  Wang investigated the zero divisor graphs of degrees 5,6,9 and 10. In 2012 Shuker and Mohammad investigated the zero divisor graphs of degrees 7 and 8. In this paper, we consider zero divisor graphs of commutative rings of degrees 11, 12 and 13.
Nazar Shuker, Husam Mohammad
doaj   +1 more source

Perfect zero-divisor graphs

Discrete Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Avinash Patil, B.N. Waphare, Vinayak Joshi   +2 more
openaire   +2 more sources

Computation of eccentric topological indices of zero-divisor graphs based on their edges

AIMS Mathematics, 2022
The topological index of a graph gives its topological property that remains invariant up to graph automorphism. The topological indices which are based on the eccentricity of a chemical graph are molecular descriptors that remain constant in the whole ...
Ali N. A. Koam, Ali Ahmad , Azeem Haider, Moin A. Ansari   +3 more
doaj   +1 more source

Classification of Zero Divisor Graphs of a Commutative Ring With Degree Equal 7 and 8 [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2013
In 2005 J. T Wang investigated the zero divisor graphs of degrees 5 and 6. In this paper, we consider the zero divisor graphs of a commutative rings of degrees 7 and 8.
Nazar Shuker, Husam Mohammad
doaj   +1 more source

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

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

The Zero Divisor Graph of the Ring Z_(2^2 p)

ARO-The Scientific Journal of Koya University, 2016
In this paper, we consider the crossing number and the chromatic number of the zero divisor graph Γ(Z_(2^2 p)) to show that this type of zero divisor graphs is bipartite graph, and the smallest cycle in Γ(Z_(2^2 p)) is of length four this implies that ...
Nazar H. Shuker, Payman A. Rashed
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

Zero Divisor Graph of Quotient Ring

Cauchy: 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, Vira Hari Krisnawati, Noor Hidayat   +2 more
doaj   +1 more source