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» On Approximation Lower Bounds for TSP with Bounded Metrics
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FOCS
2002
IEEE
13 years 10 months ago
A Lower Bound for Testing 3-Colorability in Bounded-Degree Graphs
We consider the problem of testing 3-colorability in the bounded-degree model. We show that, for small enough ε, every tester for 3colorability must have query complexity Ω(n)....
Andrej Bogdanov, Kenji Obata, Luca Trevisan
STOC
2003
ACM
130views Algorithms» more  STOC 2003»
14 years 5 months ago
A tight bound on approximating arbitrary metrics by tree metrics
In this paper, we show that any n point metric space can be embedded into a distribution over dominating tree metrics such that the expected stretch of any edge is O(log n). This ...
Jittat Fakcharoenphol, Satish Rao, Kunal Talwar
BIRTHDAY
2009
Springer
14 years 5 days ago
The Weak Gap Property in Metric Spaces of Bounded Doubling Dimension
We introduce the weak gap property for directed graphs whose vertex set S is a metric space of size n. We prove that, if the doubling dimension of S is a constant, any directed gra...
Michiel H. M. Smid
IPL
2008
95views more  IPL 2008»
13 years 5 months ago
Distortion lower bounds for line embeddings
In this paper, we show how we can derive lower bounds and also compute the exact distortion for the line embeddings of some special metrics, especially trees and graphs with certai...
Claire Mathieu, Charalampos Papamanthou
FOCS
2008
IEEE
13 years 12 months ago
Submodular Approximation: Sampling-based Algorithms and Lower Bounds
We introduce several generalizations of classical computer science problems obtained by replacing simpler objective functions with general submodular functions. The new problems i...
Zoya Svitkina, Lisa Fleischer