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

Abstract

In this work, we study the degree-based topological invariants, and the general sum-connectivity, A B C 4 , G A 5 , general Zagreb, G A , generalized Randić, and A B C indices of the line graphs of some rooted product graphs ( C n { P k } and C n { S m + 1 } ) are determined by menas of the concept of subdivision. Moreover, we also computed all these indices of the line graphs of the subdivision graphs of i-th vertex rooted product graph C i , r { P k + 1 } .

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].…”

Topological Descriptors on Some Families of Graphs

“…Some more degree-based topological indices are discussed in [14][15][16]. Aslam et al computed topological indices of line graphs of subdivision graphs of the ith vertex rooted product graphs [17]. Ahmad et al computed polynomials of degree-based indices for swapped networks modeled by the optical transpose interconnection [1].…”