file.pdf (337.04 kB)
KKL, Kruskal-Katona, and Monotone Nets
journal contribution
posted on 1977-01-01, 00:00 authored by Ryan O'Donnell, Karl WimmerWe generalize the Kahn-Kalai-Linial (KKL) Theorem to random walks on Cayley and
Schreier graphs, making progress on an open problem of Hoory, Linial, and Wigderson. In
our generalization, the underlying group need not be abelian so long as the generating set is a
union of conjugacy classes.