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My Brain is Open

My posts are related to various topics and open problems in Computational Complexity, Circuit Complexity, Communication Complexity, Algorithmic Game Theory, Polyhedral Combinatorics, Hardness of Approximation, Approximation Algorithms and Graph Theory.
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Logspace vs Polynomial time

Feb 4, 2010
One of the primary goals of complexity theory is separating complexity classes, a.k.a proving lower bounds. Embarrassingly we have only a handful of unconditional separation results. Separating P from NP is of course the mother of all such goals....

The Ideal TabletPC

Jan 30, 2010
Today’s post is about “Why tabletPC ?” and more importantly “What features should an ideal tabletPC have ?“ I have been thinking of writing this post for more than an year. Somehow I think I have to write this asap, because there are  too many silly...

Approximating TreeWidth

Jan 28, 2010
Today’s post is about TreeWidth, an awesome concept introduced by Robertson and Seymour, 25 years ago. When I first came across treewidth, I became an instant fan. Definition : A tree-decomposition of a graph is a pair where is a family of subsets...

Open Problems from FOCS 2009

Nov 9, 2009
Here are some open problems (that interest me) from FOCS 2009. If you want to share an open problem, please leave a comment. Starting with my paper……. 1) Reducibility Among Fractional Stability Problems Shiva Kintali, Laura Poplawski, Rajmohan...


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