Curvature and entropy of a graph

DOI10.1016/j.physa.2022.127783OpenAlexW4283122301MaRDI QIDQ2162948

Seong-Hun Paeng

Publication date: 9 August 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2022.127783

zbMATH Keywords

entropycurvatureheat flow

Mathematics Subject Classification ID

Applications of graph theory (05C90) Connectivity (05C40) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Volume and diameter of a graph and Ollivier's Ricci curvature
• Ricci curvature of graphs
• Ricci curvature of Markov chains on metric spaces
• Entropy and rigidity of locally symmetric spaces of strictly negative curvature
• The heat flow on metric random walk spaces
• Ollivier Ricci curvature for general graph Laplacians: heat equation, Laplacian comparison, non-explosion and diameter bounds
• Minimal volume entropy for graphs