On the existence of sports schedules with multiple venues

Authors:
Yoshiko T. Ikebe;Akihisa Tamura
Affiliations:
Department of Management Science, Tokyo University of Science, 1-3 Kagurazaka, Shinjukuku, Tokyo 1628601, Japan;Department of Mathematics, Keio University, Kanagawa 2238255, Japan
Venue:
Discrete Applied Mathematics
Year:
2008

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Abstract

We give theoretical methods of creating sports schedules where there are multiple venues for the games, and the number of times each team uses each venue should be balanced. A construction for leagues having 2^p=8 teams was given by de Werra, Ekim and Raess. Here we show that feasible schedules exist when the league has an arbitrary even number of teams greater than or equal to 8.