|Computer Science/Discrete Mathematics Seminar I|
|Topic:||An isoperimetric inequality for the Hamming cube and some consequences|
|Date:||Monday, November 18|
|Time/Room:||11:00am - 12:00pm/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.