On the Laplacian-energy-like invariant

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dc.contributor.authorDas, Kinkar Ch.
dc.contributor.authorGutman, Ivan
dc.contributor.authorCevik, A. Sinan
dc.date.accessioned2020-03-26T18:51:51Z
dc.date.available2020-03-26T18:51:51Z
dc.date.issued2014
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractLet G be a connected graph of order n with Laplacian eigenvalues mu(1) >= mu(2) >= ... mu(n-1) >mu(n) = 0. The Laplacian-energy-like invariant of the graph G is defined as LEL = LEL(G) = Sigma(n-1)(i=1)root mu(i) . Lower and upper bounds for LEL are obtained, in terms of n, number of edges, maximum vertex degree, and number of spanning trees. (C) 2013 Elsevier Inc. All rights reserved.en_US
dc.description.sponsorshipSungkyunkwan University; BK21 Math Modeling HRD Div. Sungkyunkwan University, Suwon, Republic of KoreaMinistry of Education & Human Resources Development (MOEHRD), Republic of Korea; TUBITAKTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK); Scientific Research Office of the Selcuk University (BAP)Selcuk Universityen_US
dc.description.sponsorshipK.Ch. Das was partially supported by the Faculty research Fund, Sungkyunkwan University, 2012 and Sungkyunkwan University BK21 Project, BK21 Math Modeling HRD Div. Sungkyunkwan University, Suwon, Republic of Korea. A.S.C. was partially supported by TUBITAK and the Scientific Research Office of the Selcuk University (BAP). All three authors thank the anonymous referee for his helpful comments.en_US
dc.identifier.doi10.1016/j.laa.2013.05.002en_US
dc.identifier.endpage68en_US
dc.identifier.issn0024-3795en_US
dc.identifier.issn1873-1856en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage58en_US
dc.identifier.urihttps://dx.doi.org/10.1016/j.laa.2013.05.002
dc.identifier.urihttps://hdl.handle.net/20.500.12395/31038
dc.identifier.volume442en_US
dc.identifier.wosWOS:000329143500005en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherELSEVIER SCIENCE 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/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectGraph spectrumen_US
dc.subjectLaplacian spectrum (of graph)en_US
dc.subjectLaplacian energy like invarianten_US
dc.subjectLELen_US
dc.titleOn the Laplacian-energy-like invarianten_US
dc.typeArticleen_US

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