Maximal diameter theorem for directed graphs of positive Ricci curvature

Published 2 Nov 2020 in math.DG | (2011.00755v2)

Abstract: In a previous work, the authors have introduced a Lin-Lu-Yau type Ricci curvature for directed graphs, and obtained a diameter comparison of Bonnet-Myers type. In this paper, we investigate rigidity properties for the equality case, and conclude a maximal diameter theorem of Cheng type.

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