Curvature and entropy of a graph

Seong-Hun Paeng

Physica A: Statistical Mechanics and its Applications, 2022, vol. 603, issue C

Abstract: On the brain network, various entropies have been proposed and studied. They are used as measures of how efficiently a signal is transmitted over the whole brain, but they are insufficient in some respects. In order to compensate them, we propose an entropy for a graph based on Boltzmann’s entropy for the heat flow, which shows how efficiently a signal is transmitted at each time. We show that our entropy is closely related to the curvature of a graph.

Keywords: Entropy; Heat flow; Curvature (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:603:y:2022:i:c:s0378437122005179

DOI: 10.1016/j.physa.2022.127783

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