Results 11 to 20 of about 78 (66)

On Singular Signed Graphs with Nullspace Spanned by a Full Vector: Signed Nut Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2022
A signed graph has edge weights drawn from the set {+1, −1}, and is sign-balanced if it is equivalent to an unsigned graph under the operation of sign switching; otherwise it is sign-unbalanced.
Bašić Nino   +3 more
doaj   +1 more source

On the first Zagreb index of graphs with Self-Loops

open access: yesAKCE International Journal of Graphs and Combinatorics, 2023
Some of the most comprehensively studied degree-based topological indices are the Zagreb indices. The first Zagreb index [Formula: see text] of a graph G is defined as the sum of squares of the degrees of the vertices.
Shashwath S. Shetty, Arathi Bhat K
doaj   +1 more source

Some topological indices of dendrimers determined by their Banhatti polynomials

open access: yesHeterocyclic Communications, 2020
Several properties of chemical compounds in a molecular structure can be determined with the aid of mathematical languages provided by various types of topological indices.
Chu Zheng-Qing   +6 more
doaj   +1 more source

Spectral properties of balanced trees and dendrimers

open access: yes, 2022
We investigate the spectral properties of balanced trees and dendrimers, with a view toward unifying and improving the existing results. Here we find a semi-factorized formula for their characteristic polynomials.
Damnjanović, Ivan   +2 more
core   +1 more source

On Transformed Graphs

open access: yes, 2023
The network systems and graphical analysis through the study ofstructural characteristics is a vast field of growing importance inresearch. Topological indices have a significant and crucial role inthe study of structure–property relationships.
Ishita Sarkar   +2 more
core   +2 more sources

Bounds for the Gutman-Milovanovic index and some applications [PDF]

open access: yes
In this paper, we examine the Gutman-Milovanovic index and establish new upper and lower bounds for it. These bounds include terms related to the general sum connectivity index, the general second Zagreb index, and the hyperbolicity constant of the ...
Granados, Ana   +3 more
core   +2 more sources

Extremal polygonal chains with respect to the Kirchhoff index

open access: yes, 2023
The Kirchhoff index is defined as the sum of resistance distances between all pairs of vertices in a graph. This index is a critical parameter for measuring graph structures.
Ma, Qi
core  

New bounds for variable topological indices and applications [PDF]

open access: yes
One of the most important information related to molecular graphs is given by the determination (when possible) of upper and lower bounds for their corresponding topological indices. Such bounds allow to establish the approximate range of the topological
Granados, Ana   +3 more
core   +1 more source

Multiplicative topological indices: Analytical properties and application to random networks [PDF]

open access: yes
We consider two general classes of multiplicative degree-based topological indices (MTIs). This work has three objectives: First, we follow an analytical approach to deal with a classical topic in the study of topological indices: to find inequalities ...
Aguilar Sánchez, Rocío   +3 more
core   +2 more sources

Predictive modeling of physical properties in silane compounds using topological descriptors: A computational approach

open access: yesMain Group Metal Chemistry
Silane compounds are a class of chemical compounds composed of silicon (Si) and hydrogen (H), characterized by the general formula SiH4−xRx{{\rm{SiH}}}_{4-x}{R}_{x}, where RR represents various organic groups. The simplest member of this family is silane
Zhang Xiujun   +4 more
doaj   +1 more source

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