English

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

Differential Geometry 2024-02-13 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2402.07475,
  title  = {A version of Bakry-\'Emery Ricci flow on a finite graph},
  author = {Bobo Hua and Yong Lin and Tao Wang},
  journal= {arXiv preprint arXiv:2402.07475},
  year   = {2024}
}