ARC Colloquium: Adam Marcus, Crisply.com and Yale University

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Date:
December 9, 2013 3:00 pm
Location:
Klaus 1116W

Speaker: Adam Marcus

Title: Interlacing Families and Bipartite Ramanujan Graphs

Abstract: We will outline the proof that shows the existence of bipartite Ramanujan Graphs of any degree as well as some of mixed degrees. Our approach uses the idea of Bilu and Linial to show that there exists a 2-lift of a given Ramanujan graph which maintains the Ramanujan property.  This will include introducing a new technique for establishing the existence of certain combinatorial objects that we call the "Method of Interlacing Polynomials."

This talk is intended to be accessible by a general computer science audience, and represents joint work with Dan Spielman and Nikhil Srivastava.