For r-uniform linear hypergraphs with nonnegative Lin-Lu-Yau curvature, edge-connectivity equals minimum incidence degree, while nonlinear examples violate this with arbitrarily large gaps.
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Edge-connectivity and LLY curvature of hypergraphs
For r-uniform linear hypergraphs with nonnegative Lin-Lu-Yau curvature, edge-connectivity equals minimum incidence degree, while nonlinear examples violate this with arbitrarily large gaps.