Abstract
The application of graph theory in chemical and molecular structure research has far exceeded people’s expectations, and it has recently grown exponentially. In the molecular graph, atoms are represented by vertices and bonds by edges. Topological indices help us to predict many physico-chemical properties of the concerned molecular compound. In this article, we compute Generalized first and multiplicative Zagreb indices, the multiplicative version of the atomic bond connectivity index, and the Generalized multiplicative Geometric Arithmetic index for silicon-carbon Si2C3−I[p,q] and Si2C3−II[p,q] second.
Highlights
For quite a few years, Chemical Graph theory has been assuming an imperative part in mathematical chemistry, quantitative structure-activity relationships (QSAR) and structure-property relationships (QSPR), and closeness/assorted variety investigation of sub-atomic libraries [1]
Molecular descriptors utilized as a part of these research fields are obtained from the graph of molecule, which speak to use some method to calculate numbers associated with molecular graph using these number to describe molecule [1,2]
A graph of molecule is a simple connected graph, in which atoms and chemical bonds are represented by vertices and edges respectively
Summary
For quite a few years, Chemical Graph theory has been assuming an imperative part in mathematical chemistry, quantitative structure-activity relationships (QSAR) and structure-property relationships (QSPR), and closeness/assorted variety investigation of sub-atomic libraries [1]. Some indices are The first and second multiplicative Zagreb indices [16] are related to Wiener’s work and defined as:. In computational chemistry, these types of indices are the focus of considerable research, like the Wiener index [18,19,20]. Gutman [18] studied and characterized the multiplicative first and second Zagreb indices for trees and determined the unique trees that give maximum and minimum values for M1(G) and M2(G), respectively. Furthering the study of topological indices, the first and second hyper-Zagreb indices of a graph [22] are defined as:. In [23], Kulli et al defined the first and second generalized multiplicative Zagreb indices: MZ1a ( G ) =. 3 and we demonstrate how cells connected in rows one where each row contains p cells
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