Approximations for von Neumann and Rényi entropies of graphs using the Euler-Maclaurin formula

DOI10.1553/etna_vol48s227zbMath1394.05067OpenAlexW2811066545WikidataQ129620769 ScholiaQ129620769MaRDI QIDQ1670232

João da Providência, Susana Furtado, Natália Bebiano, Wei-Ru Xu, J. jun. da Providência

Publication date: 5 September 2018

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol48/abstract.php?vol=48&pages=227-242

zbMATH Keywords

entropygraphsLaplacian matrixEuler-Maclaurin formula

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (1)

Approximations for the von Neumann and Rényi entropies of graphs with circulant type Laplacians

Uses Software

• Mathematica

Cites Work

• Note on von Neumann and Rényi entropies of a graph
• Symmetric Laplacians, quantum density matrices and their von-Neumann entropy
• The Euler-Maclaurin and Taylor Formulas: Twin, Elementary Derivations
• The Laplacian Spectrum of a Graph
• The Euler-Maclaurin Formula and Sums of Powers
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