Tata Institute of Fundamental Research

Some Basic Linear Algebraic Techniques for Proving Lower Bounds

Student Seminar
Speaker: Tulsi Mohan Molli (School of Technology and Computer Science Tata Institute of Fundamental Research Homi Bhabha Road Navy Nagar Mumbai 400005)
Organiser: Nikhil S Mande
Date: Friday, 8 Aug 2014, 14:30 to 16:00
Venue: D-405 (D-Block Seminar Room)

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Abstract:  Abstract: In this talk I will discuss some linear algebraic methods to prove lower bounds. In particular I will discuss Graham Pollak theorem, a graph theoretic result which gives us a lower bound on the number of bipartite cliques needed to cover a complete graph. Also, I will talk about Razbarov's result that threshold functions cannot be approximated by small degree polynomials and may be more if time permits.