Optimal Bounds for the Mostar Index of Chemical Trees

Abstract

Topological indices are the numerical values of a chemical graph
which are uniquely defined for that graph. Topological indices play a pivotal role in
Quantitative Structure-Property/Activity Relationship in-vestigations, offering a
robust framework for elucidating intricate corre-lations between molecular
architecture and physicochemical properties. They used to predict the bio-chemical
activities of graphs. Topological in-dices constitute a specialized domain within
chemical graph theory, hav-ing garnered significant attention in scholarly literature.
Essentially, topo-logical indices provide a quantitative representation of molecular
graphs, which can be visualized through various mathematical constructs, such as
polynomials, numerical sequences, matrices, or singular values. Mostar index is
one of the last distance based topological index. In this article, we discuss the
Mostar index for chemical trees. Also we compute some upper bounds of
chemical trees using Mostar index.