The Ricci curvature on directed graphs

Published 25 Feb 2016 in math.CO | (1602.07779v6)

Abstract: 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 directed regular graph to be Ricci-flat. Moreover, we calculate the Ricci curvature of the cartesian product of directed graphs.

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Taiki Yamada

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