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Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/705
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dc.contributor.authorStanić, Zoranen_US
dc.date.accessioned2022-08-15T15:00:09Z-
dc.date.available2022-08-15T15:00:09Z-
dc.date.issued2019-01-01-
dc.identifier.issn15379582en
dc.identifier.urihttps://research.matf.bg.ac.rs/handle/123456789/705-
dc.description.abstractGraphs consisting of a clique and a co-clique, both of arbitrary size, are considered in the role of star complements for an arbitrary non-main eigenvalue. Among other results, the sign of such a eigenvalue is discussed, the neigbourhoods of star set vertices are described, and the parameters of all strongly regular extensions are determined. It is also proved that, apart from a specified special case, if the size of a co-clique is fixed then there is a finite number of possibilities for our star complement and the corresponding non-main eigenvalue. Numerical data on these possibilities is presented.en
dc.relation.ispartofElectronic Journal of Linear Algebraen
dc.subjectAdjacency matrixen
dc.subjectBlock designen
dc.subjectGraph extensionen
dc.subjectNon-main part of the spectrumen
dc.subjectStrongly regular graphen
dc.titleUnions of a clique and a co-clique as star complements for non-main graph eigenvaluesen_US
dc.typeArticleen_US
dc.identifier.doi10.13001/1081-3810.3587-
dc.identifier.scopus2-s2.0-85064193922-
dc.identifier.urlhttps://api.elsevier.com/content/abstract/scopus_id/85064193922-
dc.contributor.affiliationNumerical Mathematics and Optimizationen_US
dc.relation.firstpage90en
dc.relation.lastpage99en
dc.relation.volume35en
dc.relation.issue1en
item.fulltextNo Fulltext-
item.openairetypeArticle-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
crisitem.author.deptNumerical Mathematics and Optimization-
crisitem.author.orcid0000-0002-4949-4203-
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