报告地点：腾讯会议ID：649 374 936
报告题目：Discovering hierarchical structures in weighted graphs using Ricci-ﬂow method
报告摘要：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 a paper of Ni etc. 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 on graphs.