Computer Science/Discrete Mathematics Seminar I
Topic: An isoperimetric inequality for the Hamming cube and some consequences
Speaker: Jinyoung Park
Affiliation: Rutgers University
Date & Time: Monday November 18th, 2019, 11:00am - 12:00pm
Location: Simonyi Hall 101
I will introduce an isoperimetric inequality for the Hamming cube and some of its applications. The applications include a “stability” version of Harper’s edge-isoperimetric inequality, which was first proved by Friedgut, Kalai and Naor for half cubes, and later by Ellis for subsets of any size. Our inequality also plays a key role in a recent result on the asymptotic number of maximal independent sets in the cube. This is joint work with Jeff Kahn.