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Statistical properties of position-dependent ball-passing networks in football games

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  • Narizuka, Takuma
  • Yamamoto, Ken
  • Yamazaki, Yoshihiro

Abstract

Statistical properties of position-dependent ball-passing networks in real football games are examined. We find that the networks have the small-world property, and their degree distributions are fitted well by a truncated gamma distribution function. In order to reproduce these properties of networks, a model based on a Markov chain is proposed.

Suggested Citation

  • Narizuka, Takuma & Yamamoto, Ken & Yamazaki, Yoshihiro, 2014. "Statistical properties of position-dependent ball-passing networks in football games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 412(C), pages 157-168.
    • Handle: RePEc:eee:phsmap:v:412:y:2014:i:c:p:157-168
    DOI: 10.1016/j.physa.2014.06.037
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    References listed on IDEAS

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    Cited by:

    1. Fernando Martins & Ricardo Gomes & Vasco Lopes & Frutuoso Silva & Rui Mendes, 2020. "Node and Network Entropy—A Novel Mathematical Model for Pattern Analysis of Team Sports Behavior," Mathematics, MDPI, vol. 8(9), pages 1-12, September.
    2. Medina, Pablo & Carrasco, Sebastián & Rogan, José & Montes, Felipe & Meisel, Jose D. & Lemoine, Pablo & Lago Peñas, Carlos & Valdivia, Juan Alejandro, 2021. "Is a social network approach relevant to football results?," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    3. Calzada-Infante, Laura & Lozano, Sebastián, 2016. "Analysing Olympic Games through dominance networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 1215-1230.
    4. Sergio Caicedo-Parada & Carlos Lago-Peñas & Enrique Ortega-Toro, 2020. "Passing Networks and Tactical Action in Football: A Systematic Review," IJERPH, MDPI, vol. 17(18), pages 1-19, September.
    5. Ichinose, Genki & Tsuchiya, Tomohiro & Watanabe, Shunsuke, 2021. "Robustness of football passing networks against continuous node and link removals," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).

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