Topological Indices of mth Chain Silicate Graphs

Abstract

A topological index is a numerical representation of a chemical structure, while a topological descriptor correlates certain physico-chemical characteristics of underlying chemical compounds besides its numerical representation. A large number of properties like physico-chemical properties, thermodynamic properties, chemical activity, and biological activity are determined by the chemical applications of graph theory. The biological activity of chemical compounds can be constructed by the help of topological indices such as atom-bond connectivity (ABC), Randić, and geometric arithmetic (GA). In this paper, Randić, atom bond connectivity (ABC), Zagreb, geometric arithmetic (GA), ABC4, and GA5 indices of the mth chain silicate S L ( m , n ) network are determined.

RETRACTED ARTICLE: Topological analysis of carbon and boron nitride nanotubes

“…Wei Gao and co-authors discussed topological indices for the structures of the cyclo alkane's family based on the graph's eccentricity 11 . More information on topological indices and chemical structures of various graphs is available in the literature and suggested for readers [12][13][14][15][16][17][18][19] .…”

Computing Degree Based Topological Properties of Third Type of Hex-Derived Networks

“…In this work, we discuss the newly derived third type of hex-derived networks and compute the exact results for degree-based topological indices. At present, there is an extensive research activity on these topological indices and their variants, see [15][16][17][18][19][20][21][22][23][24][25][26]. For basic definitions and notations, see [27][28][29][30][31].…”

On Computation of New Degree-Based Topological Indices of Silicate Chain Graph

“…Theorem: Consider the silicate chain (SL(m,n)), then its Arithmetic-Geometric (AG1) index is equal to AG1 (SL(m,n)) = 6.18 0.18 4.12 mn m  Proof: Consider the silicate chain (SL(m,n)), when m<n, m and n both are odd. Now using different type of edges corresponding to the degrees of terminal vertices of edges of G given in table.5 we compute the Arithmetic-Geometric index of G which is expressed as (3,3) 3m+4 (3,6) 3mn-m+4n-4 (6,6) 3mn-2m-4n…”

“…Motivated by previous research on Nanotubes [3][4][5][6][7][8][9], here we compute the values of four new topological indices of silicate chain.…”