Level-ℓ Kikuchi graphs of random 2r-uniform hypergraphs spectrally approximate those of the complete hypergraph at near-optimal sampling rates for r ≤ ℓ ≤ n/2.
[BHLM25] Arpon Basu, Jun-Ting Hsieh, Andrew D
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Kikuchi Graphs of Random Hypergraphs are Approximately Johnson
Level-ℓ Kikuchi graphs of random 2r-uniform hypergraphs spectrally approximate those of the complete hypergraph at near-optimal sampling rates for r ≤ ℓ ≤ n/2.