On neighborhood inverse sum indeg energy of molecular graphs
The spectral graph theory explores connections between combinatorial features of graphs
and algebraic properties of associated matrices. The neighborhood inverse sum indeg (NI) …
and algebraic properties of associated matrices. The neighborhood inverse sum indeg (NI) …
Certain topological indices of non-commuting graphs for finite non-abelian groups
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 …
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 …
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
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 …
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 …
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) …
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 …
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 …
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 …