Results 101 to 110 of about 1,283,908 (223)

Graph Decomposition Techniques in Neutrosophic Zero Divisor Models of Commutative Ring [PDF]

Neutrosophic Sets and Systems
This research establishes the framework for neutrosophic zero divisor graphs, extending the capabilities of existing fuzzy zero divisor graph models. While fuzzy models account for partial uncertainty through degrees of membership, they often fail to ...
K. Gunasekar, P. Muralikrishna
doaj   +1 more source

Wiener index of an ideal-based zero-divisor graph of commutative ring with unity

AKCE International Journal of Graphs and Combinatorics
The Wiener index of a connected graph G is [Formula: see text]. In this paper, we obtain the Wiener index of H-generalized join of graphs [Formula: see text]. As a consequence, we obtain some earlier known results in [Alaeiyan et al. in Aust. J.
Balamoorthy S., Kavaskar T., Vinothkumar K   +2 more
doaj   +1 more source

A New Type of Zero Divisor Graphs of a Lattice, t-Zero Divisor Graphs

Turkish Journal of Mathematics and Computer Science
In this paper, we introduce the t-zero divisor graph $\Gamma_{T}(L)$, which is a generalization of the zero divisor graph of a lattice $\Gamma(L)$, where $t$ is a triangular norm on $L$. We investigate which properties hold in $t$-zero divisor graphs for special $t$-norms while giving some additional properties of the zero divisor graph.
openaire   +2 more sources

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
doaj   +1 more source

C 4 -free zero-divisor graphs

, 2013
. In this paper we give a characterization for all commutative rings with 1 whose zero-divisor graphs are C4 ...
Sayyed Heidar Jafari
core  

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

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
doaj   +1 more source

Induced subgraphs of zero-divisor graphs

, 2022
The zero-divisor graph of a finite commutative ring with unity is the graph whose vertex set is the set of zero-divisors in the ring, with $a$ and $b$ adjacent if $ab=0$. We show that the class of zero-divisor graphs is universal, in the sense that every
Chelvam, T. Tamizh, Arunkumar, G., Cameron, Peter J., Kavaskar, T.   +3 more
core  

Generalized zero-divisor graph of ∗-rings

Asian-European Journal of Mathematics
A ∗-ring [Formula: see text] is a ring with an involution ∗. Let [Formula: see text] denote the set of all nonzero zero-divisors of [Formula: see text]. We associate a simple (undirected) graph [Formula: see text] with vertex set [Formula: see text] and two distinct vertices [Formula: see text] and [Formula: see text] are adjacent in [Formula: see text]
Anita Lande, Anil Khairnar
openaire   +2 more sources

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