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arXiv · 1504.00208

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

Takuma Narizuka·Ken Yamamoto·Yoshihiro Yamazaki
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Abstract

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

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Takuma Narizuka, Ken Yamamoto, Yoshihiro Yamazaki. 2015-03-31. Degree distribution of position-dependent ball-passing networks in football games. https://doi.org/10.7566/jpsj.84.084003

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