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ICLP
1997
Springer
13 years 9 months ago
Solving Small TSPs with Constraints
This paper presents a set of techniques that makes constraint programming a technique of choice for solving small (up to 30 nodes) traveling salesman problems. These techniques in...
Yves Caseau, François Laburthe
JSAT
2008
79views more  JSAT 2008»
13 years 5 months ago
An Extended Semidefinite Relaxation for Satisfiability
This paper proposes a new semidefinite programming relaxation for the satisfiability problem. This relaxation is an extension of previous relaxations arising from the paradigm of ...
Miguel F. Anjos
WADS
2005
Springer
187views Algorithms» more  WADS 2005»
13 years 11 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...
APPROX
2008
Springer
100views Algorithms» more  APPROX 2008»
13 years 7 months ago
A Simple LP Relaxation for the Asymmetric Traveling Salesman Problem
A long-standing conjecture in Combinatorial Optimization is that the integrality gap of the Held-Karp LP relaxation for the Asymmetric Traveling Salesman Problem (ATSP) is a consta...
Thành Nguyen
IPCO
1992
115views Optimization» more  IPCO 1992»
13 years 6 months ago
When is the Assignment Bound Tight for the Asymmetric Traveling Salesman Problem?
We consider the probabilistic relationship between the value of a random asymmetric traveling salesman problem ATSP(M) and the value of its assignment relaxation AP(M). We assume ...
Alan M. Frieze, Richard M. Karp, Bruce A. Reed