Hypergraph expanders of all uniformities from Cayley graphs

Understand

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 $r \geq 3$.