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math.CO2026
Ollivier Ricci curvature on graphs obtained by removing edges from complete graphs
Yui Asai, Taiki Yamada
Under what conditions does the sign of the Ollivier Ricci curvature on a graph of a certain order change? In this paper, we discuss the curvature of graphs obtained by removing edg…
math.CO2018
Relation between combinatorial Ricci curvature and Lin-Lu-Yau's Ricci Curvature on cell complexes
Kazuyoshi Watanabe, Taiki Yamada
In this paper we compare the combinatorial Ricci curvature on cell complexes and the LLY-Ricci curvature defined on graphs. A cell complex is correspondence to a graph such that th…
math.CO2016★ 2 cited
The Ricci curvature on directed graphs
Taiki Yamada
In this paper, we consider the Ricci curvature of a directed graph, based on Lin-Lu-Yau's definition. We give some properties of the Ricci curvature, including conditions for a dir…