Partition dimension of COVID antiviral drug structures

Math Biosci Eng. 2022 Jul 15;19(10):10078-10095. doi: 10.3934/mbe.2022471.

Abstract

In November 2019, there was the first case of COVID-19 (Coronavirus) recorded, and up to 3$ ^{rd }$ of April 2020, 1,116,643 confirmed positive cases, and around 59,158 dying were recorded. Novel antiviral structures of the SARS-COV-2 virus is discussed in terms of the metric basis of their molecular graph. These structures are named arbidol, chloroquine, hydroxy-chloroquine, thalidomide, and theaflavin. Partition dimension or partition metric basis is a concept in which the whole vertex set of a structure is uniquely identified by developing proper subsets of the entire vertex set and named as partition resolving set. By this concept of vertex-metric resolvability of COVID-19 antiviral drug structures are uniquely identified and helps to study the structural properties of structure.

Keywords: COVID antiviral drug structure; partition dimension; partition locating number; partition locating set; vertex metric dimension.

Publication types

  • Case Reports

MeSH terms

  • Antiviral Agents*
  • COVID-19*
  • Chloroquine
  • Humans
  • SARS-CoV-2

Substances

  • Antiviral Agents
  • Chloroquine