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FOCS
2004
IEEE
13 years 10 months ago
Dynamic Optimality -- Almost
We present an O(lg lg n)-competitive online binary search tree, improving upon the best previous (trivial) competitive ratio of O(lg n). This is the first major progress on Sleator...
Erik D. Demaine, Dion Harmon, John Iacono, Mihai P...
FOCS
2004
IEEE
13 years 10 months ago
Testing Low-Degree Polynomials over Prime Fields
We present an efficient randomized algorithm to test if a given function f : Fn p Fp (where p is a prime) is a low-degree polynomial. This gives a local test for Generalized Reed...
Charanjit S. Jutla, Anindya C. Patthak, Atri Rudra...
FOCS
2004
IEEE
13 years 10 months ago
Optimal Power-Down Strategies
We consider the problem of selecting threshold times to transition a device to low-power sleep states during an idle period. The two-state case in which there is a single active a...
John Augustine, Sandy Irani, Chaitanya Swamy
FOCS
2004
IEEE
13 years 10 months ago
Assignment Testers: Towards a Combinatorial Proof of the PCP-Theorem
In this work we look back into the proof of the PCP Theorem, with the goal of finding new proofs that are "more combinatorial" and arguably simpler. For that we introduc...
Irit Dinur, Omer Reingold
FOCS
2006
IEEE
14 years 6 days ago
Algebraic Structures and Algorithms for Matching and Matroid Problems
We present new algebraic approaches for several wellknown combinatorial problems, including non-bipartite matching, matroid intersection, and some of their generalizations. Our wo...
Nicholas J. A. Harvey