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APPROX
2010
Springer
220views Algorithms» more  APPROX 2010»
14 years 11 months ago
Constant Approximation Algorithms for Embedding Graph Metrics into Trees and Outerplanar Graphs
We present a simple factor 6 algorithm for approximating the optimal multiplicative distortion of embedding (unweighted) graph metrics into tree metrics (thus improving and simplif...
Victor Chepoi, Feodor F. Dragan, Ilan Newman, Yuri...
SIAMJO
2002
73views more  SIAMJO 2002»
14 years 9 months ago
Nonlinearly Constrained Best Approximation in Hilbert Spaces: The Strong CHIP and the Basic Constraint Qualification
We study best approximation problems with nonlinear constraints in Hilbert spaces. The strong "conical hull intersection property" (CHIP) and the "basic constraint q...
Chong Li, Xiao-Qing Jin
APPROX
2010
Springer
138views Algorithms» more  APPROX 2010»
14 years 11 months ago
Improved Rounding for Parallel Repeated Unique Games
We show a tight relation between the behavior of unique games under parallel repetition and their semidefinite value. Let G be a unique game with alphabet size k. Suppose the semid...
David Steurer
APPROX
2008
Springer
173views Algorithms» more  APPROX 2008»
14 years 12 months ago
Connected Vertex Covers in Dense Graphs
We consider the variant of the minimum vertex cover problem in which we require that the cover induces a connected subgraph. We give new approximation results for this problem in d...
Jean Cardinal, Eythan Levy
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
14 years 12 months ago
Quantum and Randomized Lower Bounds for Local Search on Vertex-Transitive Graphs
We study the problem of local search on a graph. Given a real-valued black-box function f on the graph's vertices, this is the problem of determining a local minimum of f--a v...
Hang Dinh, Alexander Russell