Topological indices of lead sulphide using polynomial technique

Abstract

The primary area of research in all branches of science and engineering is the production of low-cost goods considering the recent global economic crisis. Making small-scale, inexpensive, light-weight and high-quality items is essential for today's and tomorrow's world. Nanotechnology is more than enough of a contributor to this whole situation. Emerging nanomaterials like Lead Sulphide (PbS) have characteristics that set them apart from traditional materials. Topological indices (TIs) are numerical values associated with chemical compounds and are widely used in quantitative structure-property/activity relationship (QSPR/QSAR) studies. These indices are very useful for the prediction of certain physio-chemical properties of chemical compounds such as boiling point, stability, strain energy, entropy, etc. The M-polynomial and NM-polynomial techniques lead us to TIs for a molecular graph in less time compared to the usual computation from their definitions. Therefore, in this study, we utilise the M-polynomial and NM-polynomial techniques to compute various degree-based and neighbourhood degree sum-based TIs of complex crystal structures of PbS.

GRAPHICAL ABSTRACT

KEYWORDS:

• Topological indices
• molecular graph
• M-polynomial
• NM-polynomial
• lead sulphate

Acknowledgments

The authors express their sincere thanks to the reviewers for their valuable comments and suggestions that gave the manuscript the present shape.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data Availability

No data were used to support this study.

Author Contribution Statement

First draft was prepared by Sohan Lal and Vijay Kumar Bhat; figures have been prepared by Karnika Sharma and Sahil Sharma; all authors have reviewed the final draft.

Additional information

Funding

The authors received no specific funding for this study.