https://neckpinch.com/authors/zhiyu-wang/New arXiv papers by Zhiyu Wang, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2010.01802/arxiv:2010.01802Mon, 05 Oct 2020 00:00:00 GMTShuliang Bai, Yong Lin, Linyuan Lu, Zhiyu Wang, Shing-Tung Yau — We study the existence of solutions of Ricci flow equations of Ollivier-Lin-Lu-Yau curvature defined on weighted graphs. Our work is motivated by in which the discrete time Ricci flow algorithm has been applied successfully as a discrete geometric approach in detecting complex networks. Our main result is the existence and uniqueness theorem for solutions to a continuous time normalized Ricci flow. We also display possible solutions to the Ricci flow on path graph and prove the Ricci flow on finite star graph with at least three leaves converges to constant-weighted star.Ricci flowStability & uniquenessDiscrete & graph Ricci