Results 101 to 110 of about 1,233,365 (217)

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

, 2013
In 2005 J. T Wang investigated the zero divisor graphs of degrees 5 and 6.
Nazar Shuker, Husam Mohammad
core   +1 more source

Granular computing in zero-divisor graphs of Zn

Kuwait Journal of Science
In this article, we study the zero-divisor graphs Γ(Zn) of rings of integers modulo n as information systems I(Γ(Zn)) using equivalence classes and rough sets.
Arshad H., Javaid I., Fahad A.
doaj   +1 more source

Irreducible divisor graphs in commutative rings with zero divisors

, 2008
In their article “Irreducible Divisor Graphs”, Coykendall and Maney (2007) introduced the idea of irreducible divisor graphs of elements of a domain. We generalize this concept to commutative rings with zero divisors.
Stickles, Joe, Axtell, Michael
core   +1 more source

The total zero-divisor graph of commutative rings [PDF]

, 2018
In this paper we initiate the study of the total zero-divisor graphs over commutative rings with unity. These graphs are constructed by both relations that arise from the zero-divisor graph and from the total graph of a ring.
Đurić, Alen, Stopar, Nik, Jevđenić, Sara, Oblak, Polona   +3 more
core   +1 more source

In The Graph Based on a Given Ideal of a Ring

Zanco Journal of Pure and Applied Sciences, 2019
In this paper we introduce a new kind of graph associated with a commutative ring with identity, and we discover some of its characterizations and properties. Let R be a commutative ring with identity and K be a non-trivial ideal of R.
friad husen abdulqadr
doaj   +1 more source

Zero-divisor graphs in commutative rings

, 2010
This article surveys the recent and active area of zero-divisor graphs of commutative rings. Notable algebraic and graphical results are given, followed by a historical overview and an extensive ...
Michael C. Axtell, David F. Anderson, Axtell, Michael C., Stickles, Joe, Joe A. Stickles, Anderson, David F.   +5 more
core   +1 more source

Characterizations Of Zero Divisor Graphs Determined By Equivalence Classes Of Zero Divisors [PDF]

, 2012
We study zero divisor graphs of commutative rings determined by equivalence classes of zero divisors, specifically for a Noetherian ring R. We study the classification of these graphs.
Acosta, Amanda Catherine
core   +1 more source

Construction of Binary Linear Codes from Zero Divisor Graphs

Science and Technology Indonesia
Binary linear codes play an essential role in communication systems by ensuring reliable data transmission. One approach to constructing binary linear codes is through graph theory. In this paper, we study the construction of binary linear codes derived
Vira Hari Krisnawati, Ardi Nur Hidayat, Muhammad Husnul Khuluq   +2 more
doaj   +1 more source

Colorings of Zero-Divisor Graphs of Commutative Rings [PDF]

, 2015
We will focus on Beck?s conjecture that the chromatic number of a zero-divisor graph of a ring R is equal to the clique number of the ring R. We begin by calculating the chromatic number of the zero-divisor graphs for some finite rings and characterizing
Ramos, Rebecca Elizabeth
core  

Line cozero-divisor graphs [PDF]

, 2023
Let R be a commutative ring. The cozero-divisor graph of R denoted by Γ′(R) is a graph with the vertex set W∗(R), where W∗(R) is the set of all non-zero and non-unit elements of R, and two distinct vertices x and y are adjacent if and only if x ∈/ Ry and
Khojasteh, Soheila
core