Abstract
We prove that Cheng's maximal diameter theorem for hypergraphs with positive coarse Ricci curvature. Coarse Ricci curvature on hypergraphs is defined by using the resolvent of the nonlinear Laplacian. As a byproduct of the main theorem, the first non-zero eigenvalue on a hypergraph coincides with the lower bound of the curvature if the hypergraph has the maximal diameter.
Citation
Yu Kitabeppu. Erina Matsumoto. "Cheng's maximal diameter theorem for hypergraphs." Tohoku Math. J. (2) 75 (1) 119 - 130, 2023. https://doi.org/10.2748/tmj.20211202
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