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» On Approximation Lower Bounds for TSP with Bounded Metrics
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JCSS
2006
89views more  JCSS 2006»
14 years 11 months ago
Ramsey-type theorems for metric spaces with applications to online problems
A nearly logarithmic lower bound on the randomized competitive ratio for the metrical task systems problem is presented. This implies a similar lower bound for the extensively stu...
Yair Bartal, Béla Bollobás, Manor Me...
FOCS
2008
IEEE
15 years 6 months ago
Degree Bounded Network Design with Metric Costs
Given a complete undirected graph, a cost function on edges and a degree bound B, the degree bounded network design problem is to find a minimum cost simple subgraph with maximum...
Yuk Hei Chan, Wai Shing Fung, Lap Chi Lau, Chun Ko...
JCSS
2006
83views more  JCSS 2006»
14 years 11 months ago
TSP with bounded metrics
Lars Engebretsen, Marek Karpinski
AAIM
2009
Springer
143views Algorithms» more  AAIM 2009»
14 years 9 months ago
Discrete online TSP
In this paper we introduce a discrete version of the online traveling salesman problem (DOLTSP). We represent the metric space using a weighted graph, where the server is allowed t...
Mauro Aprea, Esteban Feuerstein, Gustavo Sadovoy, ...
COMPGEOM
2006
ACM
15 years 5 months ago
Lower bounds on locality sensitive hashing
Given a metric space (X, dX), c ≥ 1, r > 0, and p, q ∈ [0, 1], a distribution over mappings H : X → N is called a (r, cr, p, q)-sensitive hash family if any two points in...
Rajeev Motwani, Assaf Naor, Rina Panigrahy