Results 221 to 230 of about 22,120 (235)

Some properties of compressed zero-divisor graph

Mathematics and Theoretical Computer Science
We prove that if the compressed zero-divisor graph of a finite associative ring contains only one strong vertex then this vertex has a loop. Moreover, more properties of the compressed zero-divisor graph of a finite associative ring are proved.
A. S. Monastyreva
semanticscholar   +1 more source

Convergence and the zero divisor graph on the ring of functions which are discontinuous on a finite set

Afrika Matematika, 2023
S. Mandal, Sagarmoy Bag, D. Mandal
semanticscholar   +1 more source

The Distance-Based Topological Indices of the Zero Divisor Graph for Some Commutative Rings with the Calculator App

Malaysian journal of mathematical sciences
A topological index is a mathematical expression that applies to any graph that represents a molecular structure. The Harary index, Wiener index and hyper-Wiener index are distance based topological indices of a graph.
G. Semil @ Ismail, N. Sarmin, N. I. Alimon   +2 more
semanticscholar   +1 more source

On the line graphs of zero-divisor graphs of posets

Journal of Algebra and Its Applications, 2016
In this paper, we study the zero-divisor graph [Formula: see text] of a poset [Formula: see text] and its line graph [Formula: see text]. We characterize all posets whose [Formula: see text] are star, finite complete bipartite or finite. Also, we prove that the diameter of [Formula: see text] is at most 3 while its girth is either 3, 4 or [Formula ...
Atefeh Shekofteh, Mahdi Reza Khorsandi
openaire   +2 more sources

On the Normalized Laplacian Spectrum of the Zero-Divisor Graph of the Commutative Ring Zp1T1p2T2

Axioms
The zero-divisor graph of a commutative ring R with a nonzero identity, denoted by Γ(R), is an undirected graph where the vertex set Z(R)* consists of all nonzero zero-divisors of R. Two distinct vertices a and b in Γ(R) are adjacent if and only if ab=0.
Ali Al Khabyah, Nazim, N. Rehman
semanticscholar   +1 more source

The Wiener index of the zero-divisor graph of a finite commutative ring with unity

Discrete Applied Mathematics, 2022
K. Selvakumar, P. Gangaeswari, G. Arunkumar   +2 more
semanticscholar   +1 more source

Strong Zero-Divisor Graph of Rings with Involution

Asian-European Journal of Mathematics, 2023
Nana Kumbhar, A. Khairnar, B. Waphare
semanticscholar   +1 more source

Wiener Index and Graph Energy of Zero Divisor Graph for Commutative Rings

Asian-European Journal of Mathematics, 2023
Clement Johnson Rayer, Ravi Sankar Jeyaraj   +1 more
semanticscholar   +1 more source

Exploring normalized distance Laplacian eigenvalues of the zero-divisor graph of ring $${\mathbb {Z}}_{n}$$

Rendiconti del Circolo Matematico di Palermo Series 2, 2023
N. Rehman, Nazim, M. Nazim
semanticscholar   +1 more source

On Aα spectrum of the zero-divisor graph of the ring ℤn

Discret. Math. Algorithms Appl., 2023
M. Ashraf, M. Mozumder, Mohd Rashid, Nazim Ansari   +3 more
semanticscholar   +1 more source