Distance-based topological polynomials and indices of friendship graphs

Abstract

Drugs and chemical compounds are often modeled as graphs in which the each vertex of the graph expresses an atom of molecule and covalent bounds between atoms are represented by the edges between their corresponding vertices. The topological indicators defined over this molecular graph have been shown to be strongly correlated to various chemical properties of the compounds. In this article, by means of graph structure analysis, we determine several distance based topological indices of friendship graph F3(n) which is widely appeared in various classes of new nanomaterials, drugs and chemical compounds.