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IPL
2002
118views more  IPL 2002»
13 years 4 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
WADS
2005
Springer
187views Algorithms» more  WADS 2005»
13 years 10 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
2010
ACM
231views Algorithms» more  SODA 2010»
14 years 2 months ago
Asymmetric Traveling Salesman Path and Directed Latency Problems
We study integrality gaps and approximability of two closely related problems on directed graphs. Given a set V of n nodes in an underlying asymmetric metric and two specified nod...
Zachary Friggstad, Mohammad R. Salavatipour, Zoya ...
CIAC
2010
Springer
282views Algorithms» more  CIAC 2010»
13 years 8 months ago
Improved Approximations for TSP with Simple Precedence Constraints
In this paper, we consider variants of the traveling salesman problem with precedence constraints. We characterize hard input instances for Christofides' algorithm and Hoogeve...
Hans-Joachim Boeckenhauer, Ralf Klasing, Tobias Mo...
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
13 years 10 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