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 Repjournal_title
Scientific reportsauthors
Glos A,Krawiec A,Pawela Łdoi
10.1038/s41598-020-78626-2subject
Has Abstractpub_date
2021-01-11 00:00:00pages
311issue
1issn
2045-2322pii
10.1038/s41598-020-78626-2journal_volume
11pub_type
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