Generalized Quasi Trees with Respect to Degree Based Topological Indices and Their Applications to COVID-19 Drugs

Author:

Altassan Alaa1ORCID,Imran Muhammad2ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

2. Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, United Arab Emirates

Abstract

The l-generalized quasi tree is a graph G for which we can find W⊂V(G) with |W|=l such that G−W is a tree but for an arbitrary Y⊂V(G) with |Y|<l, G−Y is not a tree. In this paper, inequalities with respect to zeroth-order Randić and hyper-Zagreb indices are studied in the class of l-generalized quasi trees. The corresponding extremal graphs corresponding to these indices in the class of l-generalized quasi trees are also obtained. In addition, we carry QSPR analysis of COVID-19 drugs with zeroth-order Randić and hyper-Zagreb indices (energy).

Funder

Institutional Fund Projects

Ministry of Education and King Abdulaziz University, DSR, Jeddah, Saudi Arabia

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference23 articles.

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5. The hyper-Zagreb index of graph operations;Shirdel;Iran. J. Math. Chem.,2013

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