WebThe von Neumann graph entropy (VNGE) is a measure of graph complexity based on the Laplacian spectrum. It has recently found applications in various learning tasks driven by … Web1 de mai. de 2014 · Moreover, we find approximate forms of the von Neumann entropy that apply to both weakly and strongly directed graphs, and that can be used to characterize network structure. We illustrate the ...

[1809.07533] On the Von Neumann Entropy of Graphs - arXiv.org

Web20 de set. de 2024 · The von Neumann entropy of a graph is a spectral complexity measure that has recently found applications in complex networks analysis and pattern … Web1 de nov. de 2012 · We pose the von Neumann entropy as a new graph complexity measure. We show how this entropy can be efficiently computed using node degree statistics. We reveal the link between the Estrada’s heterogeneity index and the commute time. We embed von Neumann entropy into the thermodynamic depth to characterize … flys are healthy

Fast Computing von Neumann Entropy for Large-scale Graphs …

Web1If we define the von Neumann entropy H(G) of a graph to be the von Neumann entropy of its trace normalized Laplacian, then - for unions of disjoint graphs we will not have the sub-additivity property that is typically required from entropic quantity be satisfied: i.e., the von Neumann entropy of the union Web30 de abr. de 2013 · The Rényi α-entropy Hα of complete antisymmetric directed graphs (i.e., tournaments) is explored. We optimize Hα when α=2 and 3, and find that as α … Web14 de dez. de 2008 · The von Neumann entropy of networks. Filippo Passerini, Simone Severini. We normalize the combinatorial Laplacian of a graph by the degree sum, look at its eigenvalues as a probability distribution and then study its Shannon entropy. Equivalently, we represent a graph with a quantum mechanical state and study its von … flys around computer desk