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Some Relations between Kekule Structure and Morgan-Voyce Polynomials

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In this paper, Kekule structures of benzenoid chains are considered. It has been shown that the coefficients of a B-n (x) Morgan Voyce polynomial equal to the number of k-matchings (m(G, k)) of a path graph which has N = 2n + 1 points. Furtermore, two relations are obtained between regularly zig zag non-branched catacondensed benzenoid chains and Morgan Voyce polynomials and between regularly zig zag non branched catacondensed benzenoid chains and their corresponding caterpillar trees. (C) 2017 University of Kashan Press. All rights reserved

Anahtar Kelimeler

Kekule structureHosoya indexMorgan-Voyce polynomialsCaterpillar trees
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dc.contributor.authorGültekin, Inci
dc.contributor.authorSahin, Bunyamin
dc.date.accessioned2026-10-29T19:15:54.358692830Z
dc.date.available2026-10-29T19:15:54.358692830Z
dc.date.issued2017
dc.description.abstractIn this paper, Kekule structures of benzenoid chains are considered. It has been shown that the coefficients of a B-n (x) Morgan Voyce polynomial equal to the number of k-matchings (m(G, k)) of a path graph which has N = 2n + 1 points. Furtermore, two relations are obtained between regularly zig zag non-branched catacondensed benzenoid chains and Morgan Voyce polynomials and between regularly zig zag non branched catacondensed benzenoid chains and their corresponding caterpillar trees. (C) 2017 University of Kashan Press. All rights reserved
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK)
dc.identifier.doi10.22052/ijmc.2017.49481.1177
dc.identifier.eissn2008-9015
dc.identifier.endpage229
dc.identifier.issn2228-6489
dc.identifier.issue2
dc.identifier.startpage221
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/bayburt/14471
dc.identifier.volume8
dc.identifier.wosWOS:000418017700008
dc.language.isoen
dc.publisherUNIV KASHAN, FAC MATHEMATICAL SCIENCES
dc.relation.ispartofIRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectKekule structure
dc.subjectHosoya index
dc.subjectMorgan-Voyce polynomials
dc.subjectCaterpillar trees
dc.subject.classificationChemistry, Multidisciplinary
dc.subject.classificationChemistry
dc.titleSome Relations between Kekule Structure and Morgan-Voyce Polynomials
dc.typeArticle
rdl.citation.openalex0
rdl.citation.wos1
rdl.oa.statusclosed
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)