Calculating topological indices of certain OTIS interconnection networks

Abstract

Recently, increasing attention has been paid to The Optical Transpose Interconnection System (OTIS) network because of its prospective applications in architectures for parallel as well as distributed systems [27, 28]. Different interconnection networks in the context of topological indices are researched recently in [25, 26]. This article includes the computions of the general Randi´c, first and second Zagreb, general sum connectivity, first and second multiple zagreb, hyper zagreb, ABC and GA indices for OTIS (swapped and biswapped) networks by taking path and k-regular graph on n vertices as a base graphs. In addition, some delicated formulas are also obtained for the ABC4 and GA5 indices for the OTIS biswapped networks by considering basis graph as a path and k-regular graph of order n.

A Note on Distance-Based Entropy of Dendrimers

“…The findings presented in this section show that the correlation between ecc and degree-ecc-entropy measures of three dendrimers is approximately R 2 ≈ 0.999, see This means that the ecc and degree-ecc-entropy measures might be interesting for further investigations in predicting the physico-chemical properties of molecules [12,14,[18][19][20][21][22][23][24]. The reasons for choosing these molecular descriptors is that the dendrimers are hyper-branched molecules the degree and eccentricity of vertices of which are important.…”

On Topological Indices for New Classes of Benes Network

“…e mathematical forms of degree-based topological descriptors, which we discuss in this article, are depicted in Table 1. For more details on computation of TIs of different chemical structures, the readers can see [29][30][31][32][33][34][35][36].…”

Omega and the related counting polynomials of some chemical structures

“…For more details of the computation of counting polynomial and topological indices, see ref. [29][30][31][32][33][34][35][36][37].…”