Mathematical Biosciences and Engineering (Jul 2022)

Partition dimension of COVID antiviral drug structures

  • Ali Al Khabyah ,
  • Muhammad Kamran Jamil,
  • Ali N. A. Koam,
  • Aisha Javed,
  • Muhammad Azeem

DOI
https://doi.org/10.3934/mbe.2022471
Journal volume & issue
Vol. 19, no. 10
pp. 10078 – 10095

Abstract

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In November 2019, there was the first case of COVID-19 (Coronavirus) recorded, and up to 3rd 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.

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