On Topological Indices of Certain Dendrimer Structures

Abstract

A topological index can be considered as transformation of chemical structure in to real number. In QSAR/QSPR study, physicochemical properties and topological indices such as Randić, Zagreb, atom-bond connectivity ABC, and geometric-arithmetic GA index are used to predict the bioactivity of chemical compounds. Dendrimers are highly branched, star-shaped macromolecules with nanometer-scale dimensions. Dendrimers are defined by three components: a central core, an interior dendritic structure (the branches), and an exterior surface with functional surface groups. In this paper we determine generalised Randić, general Zagreb, general sum-connectivity indices of poly(propyl) ether imine, porphyrin, and zinc-Porphyrin dendrimers. We also compute ABC and GA indices of these families of dendrimers.

Computation of Zagreb and Randić indices of two biodegradable dendrimers used in cancer therapy

“…In this paper, we considered two biodegradable dendrimers, namely (1) a fourth-generation poly(amidoamine) dendrimer ( Figure 1) and 2, a dendrimer based on glycerol and succinic acid (Figure 2), and both are used for cancer therapy. The edge partitions of these dendrimers are constructed by the methods used in the work of Kang [Kang et al, 2018] and Aslam [Aslam et al, 2017].…”

On Eccentricity-Based Topological Indices and Polynomials of Phosphorus-Containing Dendrimers

“…Some major types of topological indices of graphs are degree-based, distance-based, and counting-related. Some degree-based topological indices have been computed for some classes of dendrimers, see for instance [16][17][18]. For a study of distance-based topological indices, see [19][20][21].…”

Computing Certain Topological Indices of the Line Graphs of Subdivision Graphs of Some Rooted Product Graphs

“…For more recent contributions on the topological indices of graphs in different settings the readers may refer to [8][9][10][11][12][13][14][15][16][17][18][19][20].…”