Computation of vertex and edge resolvability of benzenoid tripod structure

In the chemistry, the chemical compound's structures are commonly shown by the graphs. In the scenario, atoms are replaced with vertices or nodes and bond types with simple lines known as edges. When the each node and edge of a graph have distinct representation or location with respect to the chosen vertices in a subset from the graph is known as the resolving set of mixed metric dimension say F-m. This concept is known as vertex and edge resolvability parameter. This concept is usually helps to acquired a unique location or position of a structure or a graph. It is used to know the patterns of different drugs in the pharmaceutical research. There are many other applications of this variant. The exact metric dimension or resolving set of mixed metric dimension of benzenoid tripod structure is found in this research work. We proved that, this parameter is constant for the particular structure of benzenoid tripod graph. (C) 2022 The Author(s). Published by Elsevier B.V. on behalf of King Saud University.

Automated summary

In chemistry, the structure of chemical compounds is commonly represented using graphs. Vertices or nodes represent atoms, and edges represent bond types. The resolving set of mixed metric dimension, known as F-m, refers to a subset of vertices in a graph where each node and edge has a distinct representation or location. This concept helps determine the unique position of a structure or graph and finds application in studying drug patterns in pharmaceutical research.