Enumeration of the Hosoya index of pericondensed benzenoid system
Muhammad Talha Farooq,
Norah Almalki,
Pawaton Kaemawichanurat
Affiliations
Muhammad Talha Farooq
Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi, Bangkok, Thailand; Mathematics and Statistics with Applications (MaSA), Thailand
Norah Almalki
Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
Pawaton Kaemawichanurat
Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi, Bangkok, Thailand; Mathematics and Statistics with Applications (MaSA), Thailand; Corresponding author at: Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi, Bangkok, Thailand.
In chemical graph theory, topological indices play an important role and have various uses in quantitative structure-property relationships (QSPR) as well as quantitative structure-activity relationships (QSARs). The Hosoya index is one of them, performing a molecular descriptor in mathematical chemistry. Therefore, progressing with investigations requires computing the Hosoya index of distinct molecular graphs. This research presents a computational method for determining the Hosoya index of pericondensed benzenoid systems using the transfer matrix approach and the Hosoya vector.