Harry Richman — Neckpinchhttps://neckpinch.com/authors/harry-richman/New arXiv papers by Harry Richman, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT A Ricci flow on graphs from effective resistancehttps://neckpinch.com/papers/2403.01151/arxiv:2403.01151Sat, 02 Mar 2024 00:00:00 GMTAleyah Dawkins, Vishal Gupta, Mark Kempton, William Linz, Jeremy Quail, Harry Richman, Zachary Stier — In this paper, we introduce a new notion of curvature on the edges of a graph that is defined in terms of effective resistances. We call this the Ricci–Foster curvature. We study the Ricci flow resulting from this curvature. We prove the existence of solutions to Ricci flow on short time intervals, and prove that Ricci flow preserves graphs with nonnegative (resp. positive) curvature.Ricci flowDiscrete & graph Ricci