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

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.

20 pages, 7 figures

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• The Weibull - Log Weibull Distribution for Interoccurrence Times of Earthquakes
• Statistical properties of position-dependent ball-passing networks in football games
• Football fever: goal distributions and non-Gaussian statistics
• Statistics of football dynamics
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Cited by in corpus (2)

• Robustness of football passing networks against continuous node and link removals
• Statistical properties for directional alignment and chasing of players in football games