Results 101 to 110 of about 1,637,051 (209)

The Szeged Index and Padmakar-Ivan Index on the Zero-Divisor Graph of a Commutative Ring

Contemporary Mathematics and Applications (ConMathA)
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, I Gede Adhitya Wisnu Wardhana, Abdurahim   +2 more
doaj   +1 more source

Decomposition of Neutrosophic Zero-divisor graph [PDF]

Neutrosophic Sets and Systems
Evaluating student performance in university English translation courses is a complex process that requires a comprehensive assessment of multiple factors.
Balakrishnan A, Kanchana M, Said Broumi, Thirugnanasambandam K   +3 more
doaj   +1 more source

SOME PROPERTIES OF THE ZERO-DIVISOR GRAPH FOR THE RING OF GAUSSIAN INTEGERS MODULO n

, 2011
This paper is a continuation for the study of the zero-divisor graph for the ring of Gaussian integers modulo n, Γ(ℤn[i]) in [8] (Emad Abu Osba, Salah Al-Addasi and Nafez Abu Jaradeh. Zero divisor graph for the ring of Gaussin integers modulo n.
EMAD ABU OSBA, BASEM AL-KHAMAISEH, SALAH AL-ADDASI   +2 more
core   +1 more source

Planar Zero-Divisor Graphs

, 2006
Associated to every nonzero commutative ring with identity is a graph whose vertices are the nonzero zero-divisors, and such that two distinct vertices x and y are adjacent if and only if xy = 0.
Chapman, Jeremy M.
core  

Graph-theoretic characterization of rings: Outer multiset dimension of compressed zero-divisor graphs

Ain Shams Engineering Journal
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, Hafiz Muhammad Afzal Siddiqui, Muhammad Bilal Riaz, Nasir Ali   +3 more
doaj   +1 more source

The Wiener index and the Wiener complexity of the zero-divisor graph of a ring [PDF]

We calculate the Wiener index of the zero-divisor graph of a finite semisimple ring. We also calculate the Wiener complexity of the zero-divisor graph of a finite simple ring and find an upper bound for the Wiener complexity in the semisimple ...
Dolžan, David
core   +1 more source

Strong zero-divisor graph of p.q.-Baer $*$-rings [PDF]

In this paper, we study the strong zero-divisor graph of a p.q.-Baer $*$-ring. We determine the condition on a p.q.-Baer $*$-ring (in terms of the smallest central projection in a lattice of central projections of a $*$-ring), so that its strong zero ...
Waphare, B. N., Kumbhar, Nana, Khairnar, Anil   +2 more
core   +1 more source

Randić spectrum of the weakly zero-divisor graph of the ring ℤn

AKCE International Journal of Graphs and Combinatorics
In this article, we find the Randić spectrum of the weakly zero-divisor graph of a finite commutative ring [Formula: see text] with identity [Formula: see text], denoted as [Formula: see text], where [Formula: see text] is taken as the ring of integers ...
Nadeem Ur Rehman, Nazim, Ahmad M. Alghamdi, Eman S. Almotairi   +3 more
doaj   +1 more source

An exploration of ideal-divisor graphs

, 2014
Zero-divisor graphs have given some interesting insights into the behavior of commutative rings. Redmond introduced a generalization of the zero-divisor graph called an ideal-divisor graph.
Williams, Tristan, Peck, Hailee, Richard, Abigail, Donovan, Rob, Stickles, Joe, Axtell, Michael, Milner, Paul, Bloome, Lane   +7 more
core   +1 more source

Graph Operations on Zero-Divisor Graph of Posets

, 2018
We know that some large graphs can be constructed from some smaller graphs by using graphs operations. Many properties of such large graphs are closely related to those of the corresponding smaller ones.
N. Hosseinzadeh (5758513)
core   +1 more source