The Weizmann Institute of Science Faculty of Mathematics and Computer Science Walmart Lecture Series in Cryptography and Complexity Lecture Hall, Room 1, Ziskind Building on Wednesday, May 4, 2011 at 11:00 NOTE UNUSUAL TIME Nisheeth Vishnoi Microsoft Research India will speak on Fast Spectral Algorithms for Graph Partitioning and Graph Decomposition Abstract: The main object of this talk is a graph decomposition that partitions a graph in a number of internally-well connected pieces (almost expanders) while ensuring that only a small number of edges connect different pieces. These decomposition arise in fundamental algorithmic problems, including graph sparsification, clustering and the solution of certain systems of linear equations. This talk will focus on how to produce such a decomposition very fast, i.e. in nearly-linear time, using a novel semidefinite programming approach. This is joint work with Lorenzo Orecchia.