Degree distribution of position-dependent ball-passing networks in football games

Takuma Narizuka, Ken Yamamoto, Yoshihiro Yamazaki

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


We propose a simple stochastic model describing the position-dependent ball-passing network in football (soccer) games. In this network, a player in a certain area in a divided field is a node, and a pass between two nodes corresponds to an edge. Our stochastic process model is characterized by the consecutive choice of a node depending on its intrinsic fitness. We derive an explicit expression for the degree distribution and find that the derived distribution reproduces that for actual data reasonably well.

Original languageEnglish
Article number084003
Journaljournal of the physical society of japan
Issue number8
Publication statusPublished - 2015 Aug 15

ASJC Scopus subject areas

  • General Physics and Astronomy


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