2024 | 2023 | 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008
Approximations for von neumann and renyi entropies of graphs using the euler-maclaurin formula
Authors: Bebiano, Natalia; Furtado, Susana; da Providencia, Joao; Xu, Wei-Ru; da Providencia, Joao P.
Ref.: Electron. Trans. Numer. Anal. 48, 227-242 (2018)
Abstract: There have been many attempts of understanding graph structures by investigating graph entropies. In this article we investigate approximations for von Neumann and Renyi-alpha entropies of paths and rings, using the Euler-Maclaurin summation formula. For alpha an integer, the approximations become exact, and, in general, the obtained estimates have a remarkable degree of accuracy.
