Complexity of Traveling Tournament Problem with Trip Length More Than Three

Diptendu Chatterjee

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arXiv · 2110.02300

Complexity of Traveling Tournament Problem with Trip Length More Than Three

Diptendu Chatterjee

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Abstract

The Traveling Tournament Problem is a sports-scheduling problem where the goal is to minimize the total travel distance of teams playing a double round-robin tournament. The constraint 'k' is an imposed upper bound on the number of consecutive home or away matches. It is known that TTP is NP-Hard for k=3 as well as k=infinity. In this work, the general case has been settled by proving that TTP-k is NP-Complete for any fixed k>3.

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Diptendu Chatterjee. 2021-10-05. Complexity of Traveling Tournament Problem with Trip Length More Than Three. https://arxiv.org/abs/2110.02300

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