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

Abstract

A molecular graph or a chemical graph is a simple graph related to the structure of a chemical compound. In this paper, we introduce the general fifth M-Zagreb indices and fifth M3-Zagreb index and their polynomials of a molecular graph. Also we compute the general fifth M-Zagreb indices and fifth M3-Zagreb index of PAMAM dendrimer graphs. Finally, we compute the fifth M3-Zagreb polynomial of PAMAM dendrimer graphs.

Domination Augmented Banhatti, Domination Augmented Banhatti Sum Indices of Certain Chemical Drugs

“…Recently, some augmented indices were studied, for example, in [7,8,9,10,11,12,13,14]. The domination degree   d du [15] of a vertex u in a graph G is defined as the number of minimal dominating sets of G which contains u.…”

M-Polynomial and Degree Based Topological Indices of Some Nanostructures

“…In particular, in [11], the authors considered two infinite classes NS1[n] and NS2[n] of nanostar dendrimers and computed the Zagreb indices and Zagreb polynomials for these special nanostar dendrimers. In [12], the author determined certain Zagreb polynomials of a special type of dendrimer nanostar D 3 [n], and the Zagreb indices and Zagreb polynomials of the same dendrimer nanostars were computed in [13]. The computation of some fifth multiplicative Zagreb indices of PAMAMdendrimers was reported in [14].…”

Neighborhood Sum Atom Bond Connectivity Indices of Some Nanostar Dendrimers

“…Recently some multiplicative atom bond connectivity indices were studied, for example, in [16,17,18,9,20,21,22,23,24,25,26,27]. Now we define the multiplicative neighborhood sum atom bond connectivity index as…”