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APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
13 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
APPROX
2008
Springer
91views Algorithms» more  APPROX 2008»
13 years 12 months ago
Improved Separations between Nondeterministic and Randomized Multiparty Communication
We exhibit an explicit function f : {0,1}n {0,1} that can be computed by a nondeterministic number-on-forehead protocol communicating O(logn) bits, but that requires n(1) bits of...
Matei David, Toniann Pitassi, Emanuele Viola
APPROX
2008
Springer
94views Algorithms» more  APPROX 2008»
13 years 12 months ago
Improved Approximation Guarantees through Higher Levels of SDP Hierarchies
For every fixed 0, we give an algorithm that, given an n-vertex 3-uniform hypergraph containing an independent set of size n, finds an independent set of size n(2 ) . This improv...
Eden Chlamtac, Gyanit Singh
APPROX
2008
Springer
127views Algorithms» more  APPROX 2008»
13 years 12 months ago
Approximating Single Machine Scheduling with Scenarios
In the field of robust optimization, the goal is to provide solutions to combinatorial problems that hedge against variations of the numerical parameters. This constitutes an effor...
Monaldo Mastrolilli, Nikolaus Mutsanas, Ola Svenss...
APPROX
2008
Springer
100views Algorithms» more  APPROX 2008»
13 years 12 months ago
Optimal Random Matchings on Trees and Applications
In this paper we will consider tight upper- and lower-bounds on the weight of the optimal matching for random point sets distributed among the leaves of a tree, as a function of it...
Jeff Abrahamson, Béla Csaba, Ali Shokoufand...
APPROX
2008
Springer
173views Algorithms» more  APPROX 2008»
13 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
184views Algorithms» more  APPROX 2008»
13 years 12 months ago
Approximately Counting Embeddings into Random Graphs
Let H be a graph, and let CH(G) be the number of (subgraph isomorphic) copies of H contained in a graph G. We investigate the fundamental problem of estimating CH(G). Previous res...
Martin Fürer, Shiva Prasad Kasiviswanathan
APPROX
2008
Springer
83views Algorithms» more  APPROX 2008»
13 years 12 months ago
Near Optimal Dimensionality Reductions That Preserve Volumes
Avner Magen, Anastasios Zouzias
APPROX
2008
Springer
95views Algorithms» more  APPROX 2008»
13 years 12 months ago
Sweeping Points
Given a set of points in the plane, and a sweep-line as a tool, what is best way to move the points to a target point using a sequence of sweeps? In a sweep, the sweep-line is plac...
Adrian Dumitrescu, Minghui Jiang