6 citations · 6 across the 2 of their papers we have counts for
2 papers
math.MG2023
Weak Kantorovich difference and associated Ricci curvature of hypergraphs
Tomoya Akamatsu
Ollivier and Lin--Lu--Yau established the theory of graph Ricci curvature (LLY curvature) via optimal transport on graphs. Ikeda--Kitabeppu--Takai--Uehara introduced a new distance…
math.MG2021★ 6 cited
A new transport distance and its associated Ricci curvature of hypergraphs
Tomoya Akamatsu
The coarse Ricci curvature of graphs introduced by Ollivier as well as its modification by Lin-Lu-Yau have been studied from various aspects. In this paper, we propose a new transp…