Sponsored by the Rutgers University Department of Mathematics and the
Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)
Title: Moving faces to other places: Facet Derangements
Speaker: Gary Gordon, Lafayette College
Date: Thursday, February 4, 2010 5:00pm
Location: Hill Center, Room 705, Rutgers University, Busch Campus, Piscataway, NJ
When you roll a die, what is the probability that every face has been moved to another location? Starting from this simple problem, we look at integer sequences associated with the number of facet derangements of an n-dimensional hypercube. We briefly survey some previous work, discuss a reformulation of the problem, and give recursive and non-recursive formulas for the sequences. This is joint work with Liz McMahon.