1.3k citations · 4.4k across the 54 of their papers we have counts for
4 papers · 1 filter
Maximum walk entropy implies walk regularity
Ernesto Estrada, Jose A. de la Pena
The notion of walk entropy for a graph at the inverse temperature was put forward recently by Estrada et al. (2014) \cite{6}. It was further proved by Benzi \cit…
Walk Entropies in Graphs
Ernesto Estrada, Jose A. de la Pena, Naomichi Hatano
Entropies based on walks on graphs and on their line-graphs are defined. They are based on the summation over diagonal and off-diagonal elements of the thermal Green's function of…
Graph and Network Theory in Physics
Ernesto Estrada
A book Chapter consisting of some of the main areas of research in graph theory applied to physics. It includes graphs in condensed matter theory, such as the tight-binding and the…
Graphs (networks) with golden spectral ratio
Ernesto Estrada
We propose two new spectral measures for graphs and networks which characterize the ratios between the width of the "bulk" part of the spectrum and the spectral gap, as well as the…