Inverse Expander Mixing for Hypergraphs
Keywords: Quasirandom hypergraphs
AbstractWe formulate and prove inverse mixing lemmas in the settings of simplicial complexes and $k$-uniform hypergraphs. In the hypergraph setting, we extend results of Bilu and Linial for graphs. In the simplicial complex setting, our results answer a question of Parzanchevski et al.