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APPROX
2009
Springer
112views Algorithms» more  APPROX 2009»
14 years 6 months ago
Deterministic Approximation Algorithms for the Nearest Codeword Problem
The Nearest Codeword Problem (NCP) is a basic algorithmic question in the theory of error-correcting codes. Given a point v ∈ Fn 2 and a linear space L ⊆ Fn 2 of dimension k NC...
Noga Alon, Rina Panigrahy, Sergey Yekhanin
APPROX
2009
Springer
138views Algorithms» more  APPROX 2009»
14 years 6 months ago
Submodular Maximization over Multiple Matroids via Generalized Exchange Properties
Submodular-function maximization is a central problem in combinatorial optimization, generalizing many important NP-hard problems including Max Cut in digraphs, graphs and hypergr...
Jon Lee, Maxim Sviridenko, Jan Vondrák
APPROX
2009
Springer
131views Algorithms» more  APPROX 2009»
14 years 6 months ago
An Approximation Scheme for Terrain Guarding
We obtain a polynomial time approximation scheme for the terrain guarding problem improving upon several recent constant factor approximations. Our algorithm is a local search algo...
Matt Gibson, Gaurav Kanade, Erik Krohn, Kasturi R....
APPROX
2009
Springer
118views Algorithms» more  APPROX 2009»
14 years 6 months ago
Hellinger Strikes Back: A Note on the Multi-party Information Complexity of AND
The AND problem on t bits is a promise decision problem where either at most one bit of the input is set to 1 (NO instance) or all t bits are set to 1 (YES instance). In this note...
T. S. Jayram
APPROX
2009
Springer
177views Algorithms» more  APPROX 2009»
14 years 6 months ago
Improved Absolute Approximation Ratios for Two-Dimensional Packing Problems
Abstract. We consider the two-dimensional bin packing and strip packing problem, where a list of rectangles has to be packed into a minimal number of rectangular bins or a strip of...
Rolf Harren, Rob van Stee
APPROX
2009
Springer
115views Algorithms» more  APPROX 2009»
14 years 6 months ago
Small Clique Detection and Approximate Nash Equilibria
Recently, Hazan and Krauthgamer showed [12] that if, for a fixed small ε, an ε-best ε-approximate Nash equilibrium can be found in polynomial time in two-player games, then it ...
Lorenz Minder, Dan Vilenchik
APPROX
2009
Springer
98views Algorithms» more  APPROX 2009»
14 years 6 months ago
On the Security of Goldreich's One-Way Function
Goldreich (ECCC 2000) suggested a simple construction of a candidate one-way function f : {0, 1}n → {0, 1}m where each bit of output is a fixed predicate P of a constant number ...
Andrej Bogdanov, Youming Qiao
APPROX
2009
Springer
125views Algorithms» more  APPROX 2009»
14 years 6 months ago
Minimizing Average Shortest Path Distances via Shortcut Edge Addition
We consider adding k shortcut edges (i.e. edges of small fixed length δ ≥ 0) to a graph so as to minimize the weighted average shortest path distance over all pairs of vertices...
Adam Meyerson, Brian Tagiku
APPROX
2009
Springer
107views Algorithms» more  APPROX 2009»
14 years 6 months ago
Approximations for Aligned Coloring and Spillage Minimization in Interval and Chordal Graphs
We consider the problem of aligned coloring of interval and chordal graphs. These problems have substantial applications to register allocation in compilers and have recently been ...
Douglas E. Carroll, Adam Meyerson, Brian Tagiku
APPROX
2009
Springer
96views Algorithms» more  APPROX 2009»
14 years 6 months ago
On the Optimality of Gluing over Scales
We show that for every α > 0, there exist n-point metric spaces (X, d) where every “scale” admits a Euclidean embedding with distortion at most α, but the whole space req...
Alexander Jaffe, James R. Lee, Mohammad Moharrami