Abstract

A graphical index is a numeric value corresponding to a graph which is structurally invariant and in molecular graph theory these invariants are known as topological indices. In the field of Chemical and Medical Sciences, the topological indices are used to study the chemical, biological, medical and pharmaceutical features of drugs. With reference to the previous deadly diseases, the COVID-19 pandemic has considered to be the biggest life threatening issue that modern medicines have ever tackled. COVID-19 is immedicable and even the existing treatments are only helping the certain group of sufferers. Scientists have tested available antiviral agents and got a favorable impact on recovering from pandemic. Some of these antiviral agents are remdesivir, chloroquine, hydroxychloroquine, theaflavin and dexamethasone. Keeping in view of the importance of topological indices in the study of pharmaceutical and chemical drugs, in this paper, we calculate the Mdn-Polynomial, some downhill Zagreb topological indices and some downhill Zagreb polynomials of some of the anti viral agents remdesivir, chloroquine, hydroxychloroquine, theaflavin and dexamethasone. The results thus obtained may be useful for the finding new medicine and vaccine for the treatment of COVID-19.

Highlights

  • IntroductionLots of experiments have to be done on these new drugs to find out the side effects and benefits on human body

  • We associated the graphs with the chemical structures of remdesivir, chloroquine, hydroxychloroquine, theaflavin and dexamethasone where atoms are represented by vertices and chemical bonds are represented by edges

  • Let G be the molecular graph of remdesivir

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Summary

Introduction

Lots of experiments have to be done on these new drugs to find out the side effects and benefits on human body. These heavy works loaded experiments in laboratories may affect the impoverished countries especially Africa and Southeast Asia. Calculating the properties of the molecular structure of the compounds in terms of topological indices, the pharmaceutical and medical scholars may find them useful in studying the medicinal properties of the drugs

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