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IPL
2002
118views more  IPL 2002»
13 years 7 months ago
Differential approximation results for the traveling salesman and related problems
This paper deals with the problem of constructing a Hamiltonian cycle of optimal weight, called TSP. We show that TSP is 2/3-differential approximable and can not be differential a...
Jérôme Monnot
SODA
2012
ACM
217views Algorithms» more  SODA 2012»
11 years 10 months ago
Deterministic construction of an approximate M-ellipsoid and its applications to derandomizing lattice algorithms
We give a deterministic O(log n)n -time and space algorithm for the Shortest Vector Problem (SVP) of a lattice under any norm, improving on the previous best deterministic nO(n) -...
Daniel Dadush, Santosh Vempala
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
14 years 22 days ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz
TAMC
2009
Springer
14 years 2 months ago
Approximation and Hardness Results for Label Cut and Related Problems
We investigate a natural combinatorial optimization problem called the Label Cut problem. Given an input graph G with a source s and a sink t, the edges of G are classified into ...
Peng Zhang, Jin-yi Cai, Linqing Tang, Wenbo Zhao
ICASSP
2011
IEEE
12 years 11 months ago
Convex approximation algorithms for back-pressure power control of wireless multi-hop networks
Cross-layer design and operation of wireless networks has attracted significant interest in the last decade, yet some basic problems in the area remain unsolved. In this paper, w...
Evaggelia Matskani, Nikos D. Sidiropoulos, Leandro...