Asymptotic entropy of the Gibbs state of complex networks.

Abstract:

:In this work we study the entropy of the Gibbs state corresponding to a graph. The Gibbs state is obtained from the Laplacian, normalized Laplacian or adjacency matrices associated with a graph. We calculated the entropy of the Gibbs state for a few classes of graphs and studied their behavior with changing graph order and temperature. We illustrate our analytical results with numerical simulations for Erdős-Rényi, Watts-Strogatz, Barabási-Albert and Chung-Lu graph models and a few real-world graphs. Our results show that the behavior of Gibbs entropy as a function of the temperature differs for a choice of real networks when compared to the random Erdős-Rényi graphs.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Glos A,Krawiec A,Pawela Ł

doi

10.1038/s41598-020-78626-2

subject

Has Abstract

pub_date

2021-01-11 00:00:00

pages

311

issue

1

issn

2045-2322

pii

10.1038/s41598-020-78626-2

journal_volume

11

pub_type

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