The novel coronavirus disease 2019 (COVID-19) emerged in Wuhan, China, and has spread rapidly to nearly every part of the world.Unfortunately, no drug or vaccine has been accepted for the treatment of this pandemic.Researchers have established the efficacy of some existing antiviral drugs to control COVID-19 in vitro.Some of them are remdesivir (GS-5734), chloroquine, hydroxychloroquine, theaflavin.Topol. indexes are math. interpretations of a mol. generated by an algorithm implemented to a given mol. representation.Topol. indexes are used to model different physicochem. properties and biol. activities of chem. compoundsIn this work, some degree-based and neighborhood degree sum-based topol. indexes are investigated for the aforesaid antiviral drugs using polynomial approach.The results obtained can aid in the design of new medicine for the treatment of COVID-19.