Optimal Bounds for the Mostar Index of Chemical Trees

Source 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.