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math.DG2025
Lin-Lu-Yau Ricci curvature on hypergraphs
Yulu Tian, Liang Zhao
In this paper, we introduce a unified framework for defining Lin-Lu-Yau (LLY) Ricci curvature on both undirected and directed hypergraphs. By establishing upper bounds and monotoni…
cs.SI2025
Community detection of hypergraphs by Ricci flow
Yulu Tian, Jicheng Ma, Yunyan Yang +1
Community detection in hypergraphs is both instrumental for functional module identification and intricate due to higher-order interactions among nodes. We define a hypergraph Ricc…