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FOCS
2010
IEEE
15 years 4 months ago
Distance Oracles beyond the Thorup-Zwick Bound
We give the first improvement to the space/approximation trade-off of distance oracles since the seminal result of Thorup and Zwick [STOC'01]. For unweighted graphs, our dista...
Mihai Patrascu, Liam Roditty
FOCS
2010
IEEE
15 years 4 months ago
Subexponential Algorithms for Unique Games and Related Problems
We give subexponential time approximation algorithms for UNIQUE GAMES and the SMALL-SET EXPANSION. Specifically, for some absolute constant c, we give:
Sanjeev Arora, Boaz Barak, David Steurer
STACS
2010
Springer
15 years 4 months ago
Improved Approximation Guarantees for Weighted Matching in the Semi-Streaming Model
ABSTRACT. We study the maximum weight matching problem in the semi-streaming model, and improve on the currently best one-pass algorithm due to Zelke (Proc. STACS '08, pages 6...
Leah Epstein, Asaf Levin, Julián Mestre, Da...
DLT
2009
15 years 4 months ago
Asymptotic Cellular Complexity
We show here how to construct a cellular automaton whose asymptotic set (the set of configurations it converges to) is maximally complex: it contains only configurations of maximal...
Bruno Durand, Victor Poupet
DLT
2009
15 years 4 months ago
Subshifts, Languages and Logic
We study the Monadic Second Order (MSO) Hierarchy over infinite pictures, that is tilings. We give a characterization of existential MSO in terms of tilings and projections of tili...
Emmanuel Jeandel, Guillaume Theyssier