Abstract
We introduce the minus F-index and square F-index of a graph. In this study, we determine the minus F-index, square F-index and their polynomials of porphyrin dendrimer, propyl ether imine dendrimer, zinc porphyrin dendrimer and poly ethylene amide amine dendrimer.
Highlights
Let G be a finite, simple, connected graph with vertex set V (G) and edge set E(G)
We introduce the minus F-index and square F-index of a graph G as follows: The minus F-index of a graph G is defined as
We consider the porphyrin dendrimer which is denoted by DnPn
Summary
Let G be a finite, simple, connected graph with vertex set V (G) and edge set E(G). The degree dG (v) of a vertex v is the number of edges incident to v. The square ve-degree index was introduced by Kulli in [10] and defined as. Considering the minus F and square F indices, we define the minus F and square F polynomials of a graph G as. In Chemical Graph Theory, graph polynomials related to molecular graph were studied in [21, 22, 23, 24, 25, 26, 27, 28, 29]. Graph polynomials and topological based numbers have significant importance to collect information about properties of chemical compounds [30]. The minus F and square F indices and their polynomials of porphyrin, propyl ether imine, zine porphyrin and poly ethylene amide amine dendrimers are determined
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