Isoperimetric Inequalities for Ramanujan Complexes and Topological Expanders

Abstract

Expander graphs have been intensively studied in the last four decades. In recent years a high dimensional theory of expanders has emerged, and several variants have been studied. Among them stand out coboundary expansion and topological expansion. It is known that for every d there are unbounded degree simplicial complexes of dimension d with these… (More)

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