Please use this identifier to cite or link to this item: https://hdl.handle.net/10316/100571
DC FieldValueLanguage
dc.contributor.authorBebiano, Natália-
dc.contributor.authorProvidência, João da-
dc.contributor.authorXu, Wei-Ru-
dc.date.accessioned2022-07-01T11:38:49Z-
dc.date.available2022-07-01T11:38:49Z-
dc.date.issued2022-
dc.identifier.issn2688-1594pt
dc.identifier.urihttps://hdl.handle.net/10316/100571-
dc.description.abstractIn this note, we approximate the von Neumann and R´enyi entropies of high-dimensional graphs using the Euler-Maclaurin summation formula. The obtained estimations have a considerable degree of accuracy. The performed experiments suggest some entropy problems concerning graphs whose Laplacians are g-circulant matrices, i.e., circulant matrices with g-periodic diagonals, or quasi- Toeplitz matrices. Quasi means that in a Toeplitz matrix the first two elements in the main diagonal, and the last two, di er from the remaining diagonal entries by a perturbation.pt
dc.language.isoporpt
dc.relationUID/FIS/04564/2019pt
dc.relationUID/MAT/00324/2013pt
dc.relationLaurent Mathematics Center of Sichuan Normal University and National-Local Joint Engineering Laboratory of System Credibility Automatic Verification (No. ZD20220106).pt
dc.rightsopenAccesspt
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt
dc.subjectentropypt
dc.subjectgraphspt
dc.subjectLaplacian matrixpt
dc.subjectEuler-Maclaurin summation formulapt
dc.titleApproximations for the von Neumann and Rényi entropies of graphs with circulant type Laplacianspt
dc.typearticle-
degois.publication.firstPage1864pt
degois.publication.lastPage1880pt
degois.publication.issue5pt
degois.publication.titleElectronic Research Archivept
dc.peerreviewedyespt
dc.identifier.doi10.3934/era.2022094pt
degois.publication.volume30pt
dc.date.embargo2022-01-01*
uc.date.periodoEmbargo0pt
item.fulltextCom Texto completo-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextopen-
item.languageiso639-1pt-
item.openairetypearticle-
item.cerifentitytypePublications-
crisitem.author.deptFaculty of Sciences and Technology-
crisitem.author.parentdeptUniversity of Coimbra-
crisitem.author.researchunitCMUC - Centre for Mathematics of the University of Coimbra-
crisitem.author.orcid0000-0003-4215-3067-
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais
I&D CFis - Artigos em Revistas Internacionais
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