Maximal diameter theorem for directed graphs of positive Ricci curvature
classification
🧮 math.DG
keywords
diametertypecurvaturedirectedgraphsmaximalriccitheorem
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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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