Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
The Traveling Tournament Problem Description and Benchmarks
CP '01 Proceedings of the 7th International Conference on Principles and Practice of Constraint Programming
A simulated annealing approach to the traveling tournament problem
Journal of Scheduling
A method for combining complementary techniques for document image segmentation
Pattern Recognition
An Improved Approximation Algorithm for the Traveling Tournament Problem
ISAAC '09 Proceedings of the 20th International Symposium on Algorithms and Computation
Scheduling bipartite tournaments to minimize total travel distance
Journal of Artificial Intelligence Research
Journal of Artificial Intelligence Research
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We consider the complexity of the traveling tournament problem, which is a well-known benchmark problem in tournament timetabling. The problem was supposed to be computationally hard ever since its proposal in 2001. Recently, the first NP-completeness proof has been given for the variant of the problem were no constraints on the number of consecutive home games or away games of a team are considered. The complexity of the original traveling tournament problem including these constraints, however, is still open. In this paper, we show that this variant of the problem is strongly NP-complete when the upper bound on the maximal number of consecutive away games is set to 3.