Semiregular trees with minimal Laplacian spectral radius

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dc.authorid0000-0002-9076-4893
dc.contributor.authorBıyıkoğlu, Türkeren_US
dc.contributor.authorLeydold, Josefen_US
dc.date.accessioned2015-01-15T23:01:36Z
dc.date.available2015-01-15T23:01:36Z
dc.date.issued2010-04-15
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.descriptionThe first author is supported by Turkish Academy of Sciences through Young Scientist Award Program (TÜBA-GEBİP/2009).en_US
dc.description.abstractA semiregular tree is a tree where all non-pendant vertices have the same degree. Among all semiregular trees with fixed order and degree, a graph with minimal (adjacency/Laplacian) spectral radius is a caterpillar. Counter examples show that the result cannot be generalized to the class of trees with a given (non-constant) degree sequence.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationBıyıkoğlu, T. & Leydold, J. (2010). Semiregular trees with minimal laplacian spectral radius. Linear Algebra and its Applications, 432(9), 2335-2341. doi:10.1016/j.laa.2009.06.014en_US
dc.identifier.doi10.1016/j.laa.2009.06.014
dc.identifier.endpage2341
dc.identifier.issn0024-3795
dc.identifier.issn1873-1856
dc.identifier.issue9
dc.identifier.issueSI
dc.identifier.scopus2-s2.0-77049128287
dc.identifier.scopusqualityQ1
dc.identifier.startpage2335
dc.identifier.urihttps://hdl.handle.net/11729/370
dc.identifier.urihttp://dx.doi.org/10.1016/j.laa.2009.06.014
dc.identifier.volume432
dc.identifier.wosWOS:000276038600015
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.indekslendigikaynakConference Proceedings Citation Index – Science (CPCI-S)en_US
dc.institutionauthorBıyıkoğlu, Türkeren_US
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherElsevier Incen_US
dc.relation.ispartofLinear Algebra and Its Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGraph Laplacianen_US
dc.subjectAdjacency matrixen_US
dc.subjectEigenvectorsen_US
dc.subjectSpectral radiusen_US
dc.subjectPerron vectoren_US
dc.subjectTreeen_US
dc.subjectIndexen_US
dc.subjectGraph in graph theoryen_US
dc.subjectSignless Laplacianen_US
dc.subjectAlgebraic connectivityen_US
dc.subjectAdjacency matricesen_US
dc.subjectPerron vectorsen_US
dc.subjectSpectral radiien_US
dc.subjectEigenvalues and eigenfunctionsen_US
dc.subjectLaplace transformsen_US
dc.titleSemiregular trees with minimal Laplacian spectral radiusen_US
dc.typeArticleen_US
dspace.entity.typePublication

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