Wiener and detour indices of a new type of nanostar dendrimers

Abstract

The Wiener and detour indices of a molecular graph G are defined as the sum of the lengths of all shortest and longest paths between the vertices of G. In this paper the exact formulae for the Wiener and detour indices of a new type of nanostar dendrimers are given.

On Multiple Zagreb Indices of Dendrimer Nanostars

“…These molecular graphs are presented in many papers. We encourage the reader to consult papers [19][20][21][22][23][24][25][26][27][28][29][30] for further study on this topic. See Figure 1, which show the kind of 3 th growth of dendrimer.…”

Zagreb Polynomials and redefined Zagreb indices of nanostar dendrimers

“…Dendrimer is a manufactured 3-dimensional macromolecule that is prepared in a step-wise fashion from straightforward branched monomer units see [24]. The nanostar dendrimer is a part of another gathering of macromolecules that appear to photon funnels simply like arti cial antennas [25][26][27][28]. In this paper, the authors aim to analyze the Zagreb polynomials and rede ned Zagreb indices of Nanostar dendrimers.…”