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A note on the elementary construction of High-Dimensional Expanders of Kaufman and Oppenheim (1912.11225v2)

Published 24 Dec 2019 in cs.DM and math.CO

Abstract: In this note, we give a self-contained and elementary proof of the elementary construction of spectral high-dimensional expanders using elementary matrices due to Kaufman and Oppenheim [Proc. 50th ACM Symp. on Theory of Computing (STOC), 2018]. As a bonus, this also yields a simple construction and analysis of standard expanders.

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