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A recursive construction of the regular exceptional graphs with least eigenvalue –2

dc.contributor.authorBarbedo, Inês
dc.contributor.authorCardoso, Domingos M.
dc.contributor.authorCvetković, Dragoš
dc.contributor.authorRama, Paula
dc.contributor.authorSimić, Slobodan
dc.date.accessioned2018-04-16T13:57:57Z
dc.date.available2018-04-16T13:57:57Z
dc.date.issued2014
dc.description.abstractIn spectral graph theory a graph with least eigenvalue −2 is exceptional if it is connected, has least eigenvalue greater than or equal to −2, and it is not a generalized line graph. A (κ,τ)-regular set S of a graph is a vertex subset, inducing a κ-regular subgraph such that every vertex not in S has τ neighbors in S. We present a recursive construction of all regular exceptional graphs as successive extensions by regular sets.pt_PT
dc.description.sponsorshipThe authors I. Barbedo, D. M. Cardoso and P. Rama were partially supported by Portuguese funds through the CIDMA - Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (“FCT-Funda¸c˜ao para a Ciˆencia e a Tecnologia”), within project PEst-OE/MAT/UI4106/2014.
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationBarbedo, Inês; Cardoso, Domingos; Cvetković, Dragoš; Rama, Paula; Simić, Slobodan (2014). A recursive construction of the regular exceptional graphs with least eigenvalue –2. Portugaliae Mathematica. ISSN 0032-5155. 71:2, p. 79-96pt_PT
dc.identifier.doi10.4171/PM/1942pt_PT
dc.identifier.eissn1662-2758
dc.identifier.issn‎0032-5155
dc.identifier.urihttp://hdl.handle.net/10198/17065
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectSpectral graph theorypt_PT
dc.subjectExceptional graphspt_PT
dc.subjectPosetspt_PT
dc.titleA recursive construction of the regular exceptional graphs with least eigenvalue –2pt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/PEst-OE%2FMAT%2FUI4106%2F2014/PT
oaire.citation.endPage96pt_PT
oaire.citation.issue2pt_PT
oaire.citation.startPage79pt_PT
oaire.citation.titlePORTUGALIAE MATHEMATICApt_PT
oaire.citation.volume71pt_PT
oaire.fundingStream5876
person.familyNameBarbedo
person.givenNameInês
person.identifier.ciencia-id681B-7253-50B1
person.identifier.orcid0000-0001-6350-9697
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication8a4e21c4-845a-4fb3-a772-bab297bae908
relation.isAuthorOfPublication.latestForDiscovery8a4e21c4-845a-4fb3-a772-bab297bae908
relation.isProjectOfPublication541dab74-3545-46df-ae09-5e92ff0337fc
relation.isProjectOfPublication.latestForDiscovery541dab74-3545-46df-ae09-5e92ff0337fc

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