Ontology highlight
ABSTRACT:
SUBMITTER: Glos A
PROVIDER: S-EPMC7801599 | biostudies-literature | 2021 Jan
REPOSITORIES: biostudies-literature
Glos Adam A Krawiec Aleksandra A Pawela Łukasz Ł
Scientific reports 20210111 1
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 gr ...[more]