On the variable inverse sum deg index
Journal
Mathematical Biosciences and Engineering
ISSN
1551-0018
Date Issued
2023
Author(s)
Type
Resource Types::text::journal::journal article
URL Institutional Repository
Abstract
Several important topological indices studied in mathematical chemistry are expressed in the following way Puv∈E(G) F(du, dv), where F is a two variable function that satisfies the condition F(x, y) = F(y, x), uv denotes an edge of the graph G and du is the degree of the vertex u. Among them, the variable inverse sum deg index ISDa, with F(du, dv) = 1/(dua + dva), was found to have several applications. In this paper, we solve some problems posed by Vukičević [1], and we characterize graphs with maximum and minimum values of the ISDa index, for a < 0, in the following sets of graphs with n vertices: graphs with fixed minimum degree, connected graphs with fixed minimum degree, graphs with fixed maximum degree, and connected graphs with fixed maximum degree. Also, we performed a QSPR analysis to test the predictive power of this index for some physicochemical properties of polyaromatic hydrocarbons. © 2023 the Author(s), licensee AIMS Press.
Subjects
degree-based topological index
;
inverse sum indeg index
;
optimization on graphs
;
variable inverse sum deg index
;
graph theory
;
graphic methods
;
inverse problems
;
connected graph
;
degree graphs
;
degree-based topological index
;
inverse sum indeg index
;
maximum degree
;
minimum degree
;
optimisations
;
optimization on graph
;
topological index
;
variable inverse sum deg index
;
article
;
physical chemistry
;
quantitative structure property relation
;
physicochemical properties