Abstract
The l-generalized quasi tree is a graph G for which we can find W subset of V(G) with |W| = l such that G - W is a tree but for an arbitrary Y subset of V(G) with |Y| < l, G - Y is not a tree. In this paper, inequalities with respect to zeroth-order Randic 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 Randic and hyper-Zagreb indices (energy).