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A version of Bakry-\'Emery Ricci flow on a finite graph

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arxiv 2402.07475 v1 pith:4HJNIWF3 submitted 2024-02-12 math.DG

Bobo Hua , Yong Lin , Tao Wang This is my paper · ORCID
classification math.DG
keywords flowriccibakry-emeryfiniteblowcirclesconvergence
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In this paper, we study the Bakry-\'Emery Ricci flow on finite graphs. Our main result is the local existence and uniqueness of solutions to the Ricci flow. We prove the long-time convergence or finite-time blow up for the Bakry-\'Emery Ricci flow on finite trees and circles.

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  1. Community detection of hypergraphs by Ricci flow

    cs.SI 2025-05 conditional novelty 6.0 of 10

    A hypergraph Ricci flow is defined, proven to have a unique solution for all time, and used in a community detection method that scores well on several benchmarks.

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