Tata Institute of Fundamental Research

Constructive and Non-constructive Aspects of the Lovasz Local Lemma

Speaker: Aravind Srinivasan (University of Maryland at College Park Department of Computer Science Room 3263, A.V. Williams Building College Park, MD 20742 United States of America)
Organiser: Jaikumar Radhakrishnan
Date: Tuesday, 2 Jul 2013, 10:30 to 11:30
Venue: AG-69

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Abstract:  In three talks, I will describe aspects of the Local Lemma that have recently been uncovered by Moser & Tardos, Pegden, and David Harris and myself. As a running example, we will consider the following type of "graph transversal" problem introduced by Bollobas, Erdos and Szemeredi in the 1970s: given a graph $G = (V,E)$ and an integer $s$, for how small a $b$ can we guarantee that no matter how $V$ has been partitioned into blocks, each of size at least $b$, there is a way of choosing one vertex from each block such that the chosen vertices do not induce a clique on $s$ vertices?