The Faber-Krahn problem for the Hamming cube

Series
Combinatorics Seminar
Time
Friday, April 16, 2010 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 255
Speaker
Alex Samordnitsky – Professor, Hebrew University (Jerusalem, Israel)
Organizer
Prasad Tetali
The Faber-Krahn problem for the cube deals with understanding the function, Lambda(t) = the maximal eigenvalue of an induced t-vertex subgraph of the cube (maximum over all such subgraphs). We will describe bounds on Lambda(t), discuss connections to isoperimetry and coding theory, and present some conjectures.