Exchange Property in Resolvability Parameters of Quinine Anti-Malarial Drug and the Importance of Resolving Sets in Drug Delivery

Abstract

In the realm of chemical graph theory, the study of resolvability parameters such as metric and edge metric dimensions has opened new avenues in modeling and analyzing molecular structures. This paper explores the exchange property within the resolvability parameters of the quinine anti-malarial drug, represented as a molecular graph, to uncover deeper structural symmetries and redundancies. By examining the presence and implications of the exchange property in resolving sets, we highlight their essential role in optimizing molecular identification, network navigation, and targeted drug delivery systems. Our findings underscore the critical importance of graph-theoretical tools in the design, simulation, and deployment of effective drug delivery mechanisms, where precision and efficiency are paramount. Resolvability parameters, such as metric, edge metric, and mixed metric dimensions, of the quinine anti-malaria drug exhibit an exchange property in the molecular graph of quinine. We convert the molecular structures of quinine into molecular graphs and then find these resolvability parameters.