Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/100571
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bebiano, Natália | - |
dc.contributor.author | Providência, João da | - |
dc.contributor.author | Xu, Wei-Ru | - |
dc.date.accessioned | 2022-07-01T11:38:49Z | - |
dc.date.available | 2022-07-01T11:38:49Z | - |
dc.date.issued | 2022 | - |
dc.identifier.issn | 2688-1594 | pt |
dc.identifier.uri | https://hdl.handle.net/10316/100571 | - |
dc.description.abstract | In 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.iso | por | pt |
dc.relation | UID/FIS/04564/2019 | pt |
dc.relation | UID/MAT/00324/2013 | pt |
dc.relation | Laurent Mathematics Center of Sichuan Normal University and National-Local Joint Engineering Laboratory of System Credibility Automatic Verification (No. ZD20220106). | pt |
dc.rights | openAccess | pt |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt |
dc.subject | entropy | pt |
dc.subject | graphs | pt |
dc.subject | Laplacian matrix | pt |
dc.subject | Euler-Maclaurin summation formula | pt |
dc.title | Approximations for the von Neumann and Rényi entropies of graphs with circulant type Laplacians | pt |
dc.type | article | - |
degois.publication.firstPage | 1864 | pt |
degois.publication.lastPage | 1880 | pt |
degois.publication.issue | 5 | pt |
degois.publication.title | Electronic Research Archive | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.3934/era.2022094 | pt |
degois.publication.volume | 30 | pt |
dc.date.embargo | 2022-01-01 | * |
uc.date.periodoEmbargo | 0 | pt |
item.fulltext | Com Texto completo | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.grantfulltext | open | - |
item.languageiso639-1 | pt | - |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
crisitem.author.dept | Faculty of Sciences and Technology | - |
crisitem.author.parentdept | University of Coimbra | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0003-4215-3067 | - |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais I&D CFis - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
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10.3934_era.2022094.pdf | 513.27 kB | Adobe PDF | View/Open |
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