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arXiv · 2011.00755

Maximal diameter theorem for directed graphs of positive Ricci curvature

Ryunosuke Ozawa·Yohei Sakurai·Taiki Yamada
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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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Ryunosuke Ozawa, Yohei Sakurai, Taiki Yamada. 2020-11-02. Maximal diameter theorem for directed graphs of positive Ricci curvature. https://arxiv.org/abs/2011.00755

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