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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.CO2017★ 4 cited
Combinatorial Ricci curvature on cell-complex and Gauss-Bonnnet Theorem
Kazuyoshi Watanabe
In this paper we present the Ricci curvature on cell-complexes and show the Gauss-Bonnnet type theorem on graphs and 2-complex that decomposes closed surface. The defferential form…