Abstract
Competitions are defined as a set of meetings between a number of clubs at preset dates under preset rules. Such a problem can be divided in two subproblems: firstly developing a Home-Away schedule with oriented egde-colourings of complete graphs and secondly assigning the clubs to the Home-Away patterns with a clustering algorithm. Theoretical and real world aspects will be demonstrated by the construction of the Dutch Professional Football (US: soccer) Leagues.
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