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Erschienen in:
2016 | OriginalPaper | Buchkapitel
Balanced Partition of a Graph for Football Team Realignment in Ecuador
verfasst von : Diego Recalde, Daniel Severín, Ramiro Torres, Polo Vaca
Erschienen in: Combinatorial Optimization
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Abstract
In the second category of the Ecuadorian football league, a set of football teams must be grouped into \(k\) geographical zones according to some regulations, where the total distance of the road trips that all teams must travel to play a Double Round Robin Tournament in each zone is minimized. This problem can be modeled as a \(k\)-clique partitioning problem with constraints on the sizes and weights of the cliques. An integer programming formulation and a heuristic approach were developed to provide a solution to the problem which has been implemented in the 2015 edition of the aforementioned football championship.