Abstract
Structure-based topological descriptors of chemical networks enable us the prediction of physico-chemical properties and the bioactivities of compounds through QSAR/QSPR methods. Topological indices are the numerical values to represent a graph which characterises the graph. One of the latest distance-based topological index is the Mostar index. In this paper, we study the Mostar index, Szeged index, PI index,ABCGGindex, andNGGindex, for chain oxide networkCOXn, chain silicate networkCSn, ortho chainSn, and para chainQn, for the first time. Moreover, analytically closed formulae for these structures are determined.
Highlights
Introduction and Preliminary ResultsAll the graphs G in this paper are considered to be finite, undirected, and loopless
Main Results e main goal of this article is to compute the Mostar index of ortho chain and para chain using the edge cut method; we find the Mostar index, Szeged index, PI index, ABCGG index, and NGG index of oxide chains, chain silicates, ortho chain, and para chain by using the technique of edge partition. e notations used in this paper are standard and taken from the book of west [16]
If we remove the silicon atom from the silicate network, the resulting n – 1 n network is an oxide network [26], which consists of three oxygen atoms
Summary
All the graphs G in this paper are considered to be finite, undirected, and loopless. In order to understand the properties and information contained in the connectivity pattern of graphs, there are many numbers of numerical quantities, known as structure invariants, topological indices, or topological descriptors, which have been derived and studied over the past few decades. Later, it is known as the Szeged index [8]. E PI index [9], of a graph G, is defined as PIv(G) nu + nv. Results for the Chain Oxide Network COXn. we discuss COXn and compute the exact results for Szeged, PI, ABCGG, NGG, and Mostar index. Let G1 be the oxide network of n order, its Szeged index is 2n3 + 6n2 + n/3. Let G1 be the oxide network of n order; its PI index is 4n2 + 2n.
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