Results 1 to 10 of about 1,283,848 (178)

Some results on the total zero-divisor graph of a commutative ring [PDF]

Arab Journal of Mathematical Sciences
PurposeThe purpose of this paper is to characterize a commutative ring R with identity which is not an integral domain such that ZT(R), the total zero-divisor graph of R is connected and to determine the diameter and radius of ZT(R) whenever ZT(R) is ...
Subramanian Visweswaran
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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.
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Construction Algorithm for Zero Divisor Graphs of Finite Commutative Rings and Their Vertex-Based Eccentric Topological Indices

Mathematics, 2018
Chemical graph theory is a branch of mathematical chemistry which deals with the non-trivial applications of graph theory to solve molecular problems.
Kashif Elahi, Ali Ahmad, Roslan Hasni
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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
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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
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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
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Fault-Tolerant Metric Dimension and Applications: Zero-Divisor Graph of Upper Triangular Matrices

Mathematics
Graph invariants play a crucial role in understanding the structural and combinatorial characteristics of graphs. The fault-tolerant metric dimension, as a significant graph invariant, finds applications in diverse areas such as robust network ...
Latif Abdelmalek Hanna, Maryam M. Alkandari, Vijay Kumar Bhat   +2 more
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Construction of Graphs and Zero-Divisor Graphs by Degree-Joint Operations of Graphs

International Journal of Mathematics and Mathematical Sciences
The new construction of graphs obtained by degree-joint operations between maximum-degree and minimum-degree of some types of graphs with different vertex and edge sets denoted by Gδ,GΔ respectively, joins vertices of maximum (minimum) degree in one ...
Mohammed N. Authman, Payman A. Rashed, Husam Q. Mohammad   +2 more
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Graceful labeling of zero-divisor graph Γ(ℤp²q) and Γ(ℤp³q)

Electronic Journal of Graph Theory and Applications
Some papers have already provided graceful labeling for some types of zero-divisor graphs. We reviewed the graceful labeling results of Γ(ℤ25), Γ(ℤ8), and Γ(ℤ27), then use those results to label zero-divisors graphs Γ(ℤ25q), Γ(ℤ8q), and Γ(ℤ27q).The ...
Christian Constantine, Erma Suwastika
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Harary and hyper-Wiener indices of some graph operations

Journal of Inequalities and Applications
In this paper, we obtain the Harary index and the hyper-Wiener index of the H-generalized join of graphs and the generalized corona product of graphs. As a consequence, we deduce some of the results in (Das et al. in J. Inequal. Appl. 2013:339, 2013) and
S. Balamoorthy, T. Kavaskar, K. Vinothkumar   +2 more
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