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Degree distribution of position-dependent ball-passing networks in football games (1504.00208v1)
Published 31 Mar 2015 in physics.soc-ph and physics.data-an
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.