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Hypergraph expanders of all uniformities from Cayley graphs

Hypergraph expanders of all uniformities from Cayley graphs

Hypergraph expanders are hypergraphs with surprising, non-intuitive expansion properties. In a recent paper, the first author gave a simple construction, which can be randomized, of 3-uniform hypergraph expanders with polylogarithmic degree. We generalize this construction, giving a simple construction of r-uniform hypergraph expanders for all r ⩾ 3 .