Yuval Filmus
Published 2014-06-01, updated 2022-03-14Version 2
We present an orthogonal basis for functions over a slice of the Boolean hypercube. Our basis is also an orthogonal basis of eigenvectors for the Johnson and Kneser graphs. As an application of our basis, we streamline Wimmer's proof of Friedgut's theorem for slices of the Boolean hypercube.
Comments: 21 pages
Journal: Electronic Journal of Combinatorics, volume 23, issue 1, article number P1.23, 2016
A note on $b$-coloring of Kneser graphs
$k$-tuple domination on Kneser graphs
$k$-Domination invariants on Kneser graphs
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