Certain Topological Indices and their Polynomials of Dendrimer Nanostars

Abstract

Abstract. Chemical graph theory is a branch of graph theory whose focus of interest is to finding topological indices of chemical graphs, which correlate well with chemical properties of the chemical molecules. In this paper, we introduce several new Zagreb polynomials of a molecular graph and compute their polynomials of dendrimer nanostars.

General Fifth M-Zagreb Indices and Fifth M-Zagreb Polynomials of PAMAM Dendrimers

“…We consider the PAMAM dendrimers with n stages, denoted by PD 1 [n] for every n ≥ 0, see Figure 1 [12]. (2,3), (3,4), (3,5), (4,5), (5,5), (5,6) for PAMAM dendrimer PD 1 [n] based on the degree sum of neighbors of end vertices of each edge is obtained, as given in Table 1.…”

“…Recently, some polynomials were studied, for example, in [3,4] and also some topological indices were studied, for example, in [5,6,7,8,9,10,11].…”

Multiplicative Connectivity KV Indices of Dendrimers

“…In recent years, some topological indices were studied, for example, in [8,9,10,11,12,13,14,15,16,17,18,19 ]. In this paper, some multiplicative connectivity KV indices for POPAM dendrimers and tetrathiafulvalene dendrimers are computed.…”

On ve-degree Indices and their Polynomials of Dominating Oxide Networks

“…Recently, some ve-degree topological indices were studied, for example, in [4,5,6,7] and also several topological indices were studied, for example in [8,9,10,11,12,13]. Recently, some polynomials were studied, for example, in [14,15,16,17,18,19,20,21,22,23,24,25].…”