On neighborhood inverse sum indeg energy of molecular graphs

S Mondal, B Some, A Pal, KC Das - Symmetry, 2022 - mdpi.com
The spectral graph theory explores connections between combinatorial features of graphs
and algebraic properties of associated matrices. The neighborhood inverse sum indeg (NI) …

Certain topological indices of non-commuting graphs for finite non-abelian groups

F Ali, BA Rather, M Sarfraz, A Ullah, N Fatima… - Molecules, 2022 - mdpi.com
A topological index is a number derived from a molecular structure (ie, a graph) that
represents the fundamental structural characteristics of a suggested molecule. Various …

Graph energy and topological descriptors of zero divisor graph associated with commutative ring

C Johnson, R Sankar - Journal of Applied Mathematics and Computing, 2023 - Springer
Let R be a commutative ring with all non-zero zero divisors Z∗(R) of R. Then Γ (R) is said to
be a zero divisor graph if and only if a· b= 0 where a, b∈ V (Γ (R))= Z∗(R) and (a, b)∈ E (Γ …

Hosoya polynomials of power graphs of certain finite groups

BA Rather, F Ali, S Alsaeed, M Naeem - Molecules, 2022 - mdpi.com
Assume that G is a finite group. The power graph P (G) of G is a graph in which G is its node
set, where two different elements are connected by an edge whenever one of them is a …

Applications on topological indices of zero-divisor graph associated with commutative rings

CJ Rayer, RS Jeyaraj - Symmetry, 2023 - mdpi.com
A topological index is a numeric quantity associated with a chemical structure that attempts
to link the chemical structure to various physicochemical properties, chemical reactivity, or …

Computing Topological Descriptors of Prime Ideal Sum Graphs of Commutative Rings

E Öztürk Sözen, T Alsuraiheed, C Abdioğlu, S Ali - Symmetry, 2023 - mdpi.com
Let n≥ 1 be a fixed integer. The main objective of this paper is to compute some topological
indices and coindices that are related to the graph complement of the prime ideal sum (PIS) …

Eigenvalues of zero-divisor graphs, Catalan numbers, and a decomposition of eigenspaces

JD LaGrange - Linear and Multilinear Algebra, 2023 - Taylor & Francis
ABSTRACT A combinatorial approach is given to compute bases for eigenspaces of zero-
divisor graphs of finite Boolean rings. A commutative monoid S of graphs is shown to contain …

[引用][C] Wiener index and graph energy of zero divisor graph for commutative rings

CJ Rayer, RS Jeyaraj - Asian-European Journal of Mathematics, 2023 - World Scientific
Let ℛ be commutative ring and Z∗(ℛ) be the set of all non-zero zero divisors of ℛ. Then Γ (ℛ)
is said to be the zero divisor graph if and only if a⋅ b= 0 where a, b∈ V (Γ (ℛ)) and (a, b)∈ E …