Edge-Version Atom-Bond Connectivity and Geometric Arithmetic Indices of Generalized Bridge Molecular Graphs

Abstract

Topological indices are graph invariants computed by the distance or degree of vertices of the molecular graph. In chemical graph theory, topological indices have been successfully used in describing the structures and predicting certain physicochemical properties of chemical compounds. In this paper, we propose a definition of generalized bridge molecular graphs that can model more kinds of long chain polymerization products than the bridge molecular graphs, and provide some results of the edge versions of atom-bond connectivity ( A B C e ) and geometric arithmetic ( G A e ) indices for some generalized bridge molecular graphs, which have regular, periodic and symmetrical structures. The results of this paper offer promising prospects in the applications for chemical and material engineering, especially in chemical industry research.

Topological Indices of the Pent-Heptagonal Nanosheets VC5C7 and HC5C7

“…Graovac et al [42] computed fifth geometric-arithmetic index for nanostar dendrimers in 2011. Asadpour et al [43] [48][49][50][51][52][53] discussed Randić connectivity index and sum connectivity index of the pent-heptagonal nanotube VAC 5 C 7 (S) in 2013. For the nanosheet VC 5 C 7 (m, n), we denote the number of pentagons in the first row by n; in this nanotube, the first four rows of vertices and edges are repeated alternatively and we denote the number of this repetition by m (see, e.g.,Figure 2(a) with (m, n) � (2, 4)).…”

On Topological Analysis of Niobium (II) Oxide Network via Curve Fitting and Entropy Measures

“…e remarkable optical features of metallic nanoparticles have extensively developed the interest of scientists and researchers [13][14][15]. Researchers have analyzed that the thermoplasmonic features of nanoparticles might be utilized in treating cancers [16][17][18].…”

Mostar indices of SiO2 nanostructures and melem chain nanostructures

“…20,[29][30][31][32][33] Hence, the computation and estimation of topological descriptors of molecular structures are progressive trends of research, which have special significance in nanotechnology and theoretical chemistry. The interested reader is referred to refs [26,[34][35][36][37][38][39][40][41][42][43][44] for a detailed study of this subject. In our calculations, we apply the cut method, which was introduced in ref.…”