A version of Bakry-Émery Ricci flow on a finite graph

Published 12 Feb 2024 in math.DG | (2402.07475v1)

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.

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