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Balanced Partition of a Graph for Football Team Realignment in Ecuador

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Combinatorial Optimization (ISCO 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9849))

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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.

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Acknowledgments

We thank Patricio Torres, authority of the team Liga Deportiva Universitaria, and Galo Barreto, former manager of AFNA, for their support to this project. This research was partially supported by the PACK-COVER MATH-AmSud cooperation project.

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Authors and Affiliations

  1. Departamento de Matemática, Escuela Politécnica Nacional, Ladrón de Guevara E11-253, EC170109, Quito, Ecuador

    Diego Recalde, Ramiro Torres & Polo Vaca

  2. Research Center on Mathematical Modelling (MODEMAT), Escuela Politécnica Nacional, Quito, Ecuador

    Diego Recalde

  3. FCEIA, Universidad Nacional de Rosario, Rosario, Argentina

    Daniel Severín

  4. CONICET, Rosario, Argentina

    Daniel Severín

Authors
  1. Diego Recalde
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  2. Daniel Severín
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  3. Ramiro Torres
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  4. Polo Vaca
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Corresponding author

Correspondence to Diego Recalde .

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Editors and Affiliations

  1. University of Salerno , Fisciano, Italy

    Raffaele Cerulli

  2. Kyoto University , Kyoto, Japan

    Satoru Fujishige

  3. LAMSADE, Université Paris-Dauphine , Paris , France

    A. Ridha Mahjoub

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© 2016 Springer International Publishing Switzerland

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Recalde, D., Severín, D., Torres, R., Vaca, P. (2016). Balanced Partition of a Graph for Football Team Realignment in Ecuador. In: Cerulli, R., Fujishige, S., Mahjoub, A. (eds) Combinatorial Optimization. ISCO 2016. Lecture Notes in Computer Science(), vol 9849. Springer, Cham. https://doi.org/10.1007/978-3-319-45587-7_31

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  • DOI: https://doi.org/10.1007/978-3-319-45587-7_31

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-45586-0

  • Online ISBN: 978-3-319-45587-7

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