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ESA
2003
Springer
189views Algorithms» more  ESA 2003»
14 years 1 months 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
ESA
2007
Springer
97views Algorithms» more  ESA 2007»
14 years 2 months ago
To Fill or Not to Fill: The Gas Station Problem
In this paper we study several routing problems that generalize shortest paths and the Traveling Salesman Problem. We consider a more general model that incorporates the actual co...
Samir Khuller, Azarakhsh Malekian, Julián M...
DISOPT
2006
101views more  DISOPT 2006»
13 years 7 months ago
Greedy-type resistance of combinatorial problems
This paper gives a sufficient condition for a combinatorial problem to be greedy-type-resistant, i.e. such that, on some instances of the problem, any greedy-type algorithm will o...
Gareth Bendall, François Margot
WADS
2005
Springer
187views Algorithms» more  WADS 2005»
14 years 1 months ago
Improved Approximation Algorithms for Metric Maximum ATSP and Maximum 3-Cycle Cover Problems
We consider an APX-hard variant (∆-Max-ATSP) and an APX-hard relaxation (Max-3-DCC) of the classical traveling salesman problem. We present a 31 40-approximation algorithm for â...
Markus Bläser, L. Shankar Ram, Maxim Sviriden...
SODA
1992
ACM
252views Algorithms» more  SODA 1992»
13 years 9 months ago
A General Approximation Technique for Constrained Forest Problems
We present a general approximation technique for a large class of graph problems. Our technique mostly applies to problems of covering, at minimum cost, the vertices of a graph wit...
Michel X. Goemans, David P. Williamson