Computation method of the Hosoya index of primitive coronoid systems

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dc.authorid0000-0002-1645-0386
dc.authorid0000-0002-6206-0362
dc.contributor.authorOz, Mert Sinan
dc.contributor.authorCruz, Roberto
dc.contributor.authorRada, Juan
dc.date.accessioned2026-02-12T21:05:21Z
dc.date.available2026-02-12T21:05:21Z
dc.date.issued2022
dc.departmentBursa Teknik Üniversitesi
dc.description.abstractCoronoid systems are natural graph representations of coronoid hydrocarbons associated with benzenoid systems, but they differ in that they contain a hole. The Hosoya index of a graph G is defined as the total number of independent edge sets, that are called k-matchings in G. The Hosoya index is a significant molecular descriptor that has an important position in QSAR and QSPR studies. Therefore, the computation of the Hosoya index of various molecular graphs is needed for making progress on investigations. In this paper, a method based on the transfer matrix technique and the Hosoya vector for computing the Hosoya index of arbitrary primitive coronoid systems is presented. Moreover, the presented method is customized for hollow hexagons by using six parameters. As a result, the Hosoya indices of both each arbitrary primitive coronoid system and also each hollow hexagon can be computed by means of a summation of four selected multiplications consisting of presented transfer matrices and two vectors.
dc.identifier.doi10.3934/mbe.2022458
dc.identifier.endpage9852
dc.identifier.issn1547-1063
dc.identifier.issn1551-0018
dc.identifier.issue10
dc.identifier.pmid36031971
dc.identifier.scopus2-s2.0-85134468477
dc.identifier.scopusqualityQ1
dc.identifier.startpage9842
dc.identifier.urihttps://doi.org/10.3934/mbe.2022458
dc.identifier.urihttps://hdl.handle.net/20.500.12885/6920
dc.identifier.volume19
dc.identifier.wosWOS:000829503700001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakPubMed
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofMathematical Biosciences and Engineering
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260212
dc.subjectHosoya index
dc.subjectcoronoid systems
dc.subjectprimitive coronoid systems
dc.subjecthollow hexagons
dc.titleComputation method of the Hosoya index of primitive coronoid systems
dc.typeArticle

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