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dc.contributor.authorCvetković, Dragošen
dc.contributor.authorRowlinson, Peteren
dc.contributor.authorSimić, Slobodanen
dc.date.accessioned2020-05-01T20:12:50Z-
dc.date.available2020-05-01T20:12:50Z-
dc.date.issued2007-05-01en
dc.identifier.issn0024-3795en
dc.description.abstractWe survey properties of spectra of signless Laplacians of graphs and discuss possibilities for developing a spectral theory of graphs based on this matrix. For regular graphs the whole existing theory of spectra of the adjacency matrix and of the Laplacian matrix transfers directly to the signless Laplacian, and so we consider arbitrary graphs with special emphasis on the non-regular case. The results which we survey (old and new) are of two types: (a) results obtained by applying to the signless Laplacian the same reasoning as for corresponding results concerning the adjacency matrix, (b) results obtained indirectly via line graphs. Among other things, we present eigenvalue bounds for several graph invariants, an interpretation of the coefficients of the characteristic polynomial, a theorem on powers of the signless Laplacian and some remarks on star complements.en
dc.publisherElsevier-
dc.relationEPSRC, grant EP/D010748/1-
dc.relationSerbian Ministry of Science and Environmental Protection, Grant 144015G-
dc.relation.ispartofLinear Algebra and Its Applicationsen
dc.subjectGraph spectra | Graph theory | Line graph | Signless Laplacian | Star complementen
dc.titleSignless Laplacians of finite graphsen
dc.typeArticleen
dc.identifier.doi10.1016/j.laa.2007.01.009en
dc.identifier.scopus2-s2.0-33947220864en
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage155en
dc.relation.lastpage171en
dc.relation.issue1en
dc.relation.volume423en
dc.description.rankM22-
item.fulltextNo Fulltext-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.grantfulltextnone-
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