On topological properties of dominating David derived networks

Abstract

Topological indices are numerical parameters of a graph that characterize its molecular topology and are usually graph invariant. In a QSAR/QSPR study, the physico-chemical properties and topological indices such as the Randić, atom–bond connectivity (ABC), and geometric–arithmetic (GA) indices are used to predict the bioactivity of chemical compounds. Graph theory has found a considerable use in this important area of research. All of the studied interconnection networks in this paper are constructed by the Star of David network. In this paper, we study the general Randić, first Zagreb, ABC, GA, ABC4 and GA5, indices for the first, second, and third types of dominating David derived networks and give closed formulas of these indices for these networks. These results are useful in network science to understand the underlying topologies of these networks.

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].…”

Topological Indices of mth Chain Silicate Graphs

“…GA 5 is the fifth version of the geometric arithmetic index [12]. The GA 5 index was proposed by Graovac et al [13] and is defined as:…”

On Degree-Based Topological Indices of Symmetric Chemical Structures

“…Hex-Derived Cage networks HDCN1(m, n) (show in Figure 1) and HDCN2(m, n) (show in Figure 2) give closed formulas of that indices, we study the general Randić, first Zagreb, ABC, GA, ABC 4 and GA 5 indices of certain graphs in [10]. These days there is a broad research activity on ABC and GA indices and their variants, for additionally investigation of topological indices of different families see, [1,[11][12][13][14][15][16][17][18][19][20][21][22][23].…”