On the signless laplacian and normalized signless laplacian spreads of graphs

Basit Öğe Kaydı
dc.authorid0000-0001-9727-6107en_US
dc.contributor.authorMilovanovic, Emina
dc.contributor.authorAltındağ, Şerife Burcu Bozkurt
dc.contributor.authorMatejic, Marjan
dc.contributor.authorMilovanovic, Igor
dc.date.accessioned2024-01-22T12:22:24Z
dc.date.available2024-01-22T12:22:24Z
dc.date.issued2023
dc.departmentKMÜ, Kamil Özdağ Fen Fakültesi, Matematik Bölümüen_US
dc.description.abstractLet G = (V, E), V = {v(1), v(2), ... , v(n)}, be a simple connected graph with n vertices, m edges and a sequence of vertex degrees d(1) >= d(2) >= ... >= d(n). Denote by A and D the adjacency matrix and diagonal vertex degree matrix of G, respectively. The signless Laplacian of G is defined as L+ = D + A and the normalized signless Laplacian matrix as L+ = D-1/2L+D-1/2. The normalized signless Laplacian spreads of a connected nonbipartite graph G are defined as r(G) = gamma(+)(2)/gamma(+ )(n)and l(G) = gamma(+)(2) - gamma(+)(n), where gamma(+ )(1)>= gamma(+)(2) >=.. . >= gamma(+)(n) >= 0 are eigenvalues of L+. We establish sharp lower and upper bounds for the normalized signless Laplacian spreads of connected graphs. In addition, we present a better lower bound on the signless Laplacian spread.en_US
dc.description.sponsorshipSerbian Ministry of Education, Science and Technological Development [451-03-68/2022-14/200102]en_US
dc.description.sponsorshipThe research has been supported by the Serbian Ministry of Education, Science and Technological Development, grant No. 451-03-68/2022-14/200102.en_US
dc.identifier.citationMilovanović, E., Bozkurt Altindağ, Ş.B., Matejic, M. et al.(2023). On the signless Laplacian and normalized signless Laplacian spreads of graphs. Czechoslovak Mathematical Journal, 73, 499–511 . https://doi.org/10.21136/CMJ.2023.0005-22en_US
dc.identifier.doi10.21136/CMJ.2023.0005-22
dc.identifier.endpage511en_US
dc.identifier.issn0011-4642
dc.identifier.issn1572-9141
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85148082637
dc.identifier.scopusqualityQ3
dc.identifier.startpage499en_US
dc.identifier.urihttps://doi.org/10.21136/CMJ.2023.0005-22
dc.identifier.urihttps://hdl.handle.net/11492/7964
dc.identifier.volume73en_US
dc.identifier.wosWOS:000933669000001
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Sceince
dc.indekslendigikaynakScopus
dc.institutionauthorAltındağ, Şerife Burcu Bozkurt
dc.language.isoen
dc.publisherSpringer Heidelbergen_US
dc.relation.journalCzechoslovak Mathematical Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectLaplacian Graph Spectraen_US
dc.subjectBipartite Graphen_US
dc.subjectSpread of Graphen_US
dc.titleOn the signless laplacian and normalized signless laplacian spreads of graphsen_US
dc.typeArticle

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