Ravi Ratn Gaur

To study the properties such as physical and chemical of compounds, the topological indices are introduced in chemical graph theory. These indices provide qualitative structure activity relationship (QSAR). Degree based topological indices are commonly used invariant in chemical graph theory. However, in this article, a new degree of vertices is introduced, called “deficiency degree”. Further, we have computed five topological indices based on the deficiency degree like “deficient first Zagreb index, deficient generalized Randić index, deficient harmonic index, deficient inverse sum index, deficient augmented Zagreb index” for identified graphs using the M -polynomial of graph.

The novel disease COVID-19 has been spreaded from Wuhan, China in the month of December 2019. As we know, the whole world is suffering from disease badly. COVID-19 affects the human community in different ways but still we are not able to produce a proper medication of COVID-19. Any existing or developed vaccine or drug is not providing great success in curing or handling this virus adequately. Whereas in this tough time, various pharmaceutical companies are trying to develop a proper medicine or vaccine for preventing this virus spread. In the procedure of developing drugs, Pfizer, a well-known bio-pharmaceutical company has developed two molecules PF − 07304814 and an enhancement over this molecule as PF − 00835231, which are used in the treatment of Coronavirus disease 2019 (COVID-19). Second drug PF − 00835231 is a powerful inhibitor of the corona virus family and it can help in avoiding two strain of SARS-CoV-2. It helps in killing of the cell of other coronavirus as well. This article proposes some topological indices of molecular graphs of PF − 00835231 and PF − 07304814 drugs that are based on degree and neighbourhood degree of vertices.