A combinatorial construction based on projections of the flags complex produces sub-polynomial degree complexes that are local spectral expanders, coboundary expanders, and swap coboundary expanders.
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A Simple Sub-Polynomial Degree Coboundary Expander
A combinatorial construction based on projections of the flags complex produces sub-polynomial degree complexes that are local spectral expanders, coboundary expanders, and swap coboundary expanders.