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dc.contributor.authorCangül, İsmail Nacien_US
dc.contributor.authorÇelik, Ferihaen_US
dc.date.accessioned2020-10-28T06:40:47Z
dc.date.available2020-10-28T06:40:47Z
dc.date.issued2019
dc.identifier.citationCangül, İ. N. & Çelik, F. (2019). On the spectra of cycles and paths. TWMS Journal Of Applied And Engineering Mathematics, 9(3), 571-580.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2745
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/102-vol9no3/440
dc.description.abstractEnergy of a graph was defined by E. Hückel as the sum of absolute values of the eigenvalues of the adjacency matrix during the search for a method to obtain approximate solutions of Schr¨odinger equation which include the energy of the corresponding system for a class of molecules. The set of eigenvalues is called the spectrum of the graph and the spectral graph theory dealing with spectrums is one of the most interesting subareas of graph theory. There are a lot of results on the energy of many graph types. Two classes, cycles and paths, show serious differences from others as the eigenvalues are trigonometric algebraic numbers. Here, we obtain the polynomials and recurrence relations for the spectral polynomials of these two graph classes. In particular, we prove that one can obtain the spectra of C2n and P2n+1 without detailed calculations just in terms of the spectra of Cn and Pn, respectively.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectSpectrum of a graphen_US
dc.subjectGraph energyen_US
dc.subjectRecurrence relationen_US
dc.subjectPathen_US
dc.subjectCycleen_US
dc.subjectEnergyen_US
dc.subjectGraphsen_US
dc.titleOn the spectra of cycles and pathsen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume9
dc.identifier.issue3
dc.identifier.startpage571
dc.identifier.endpage580
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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