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Constructing Expander Graphs by 2-Lifts and Discrepancy vs. Spectral Gap

Constructing Expander Graphs by 2-Lifts and Discrepancy vs. Spectral Gap

We present a new explicit construction for expander graphs with nearly optimal spectral gap. The construction is based on a series of 2-lift operations. Let G be a graph on n vertices. A 2-lift of G is a graph H on 2n vertices, with a covering map /spl pi/ : …