Analyzing the Efficiency of Passing Networks in Soccer

Jeffrey K. Leela, Karim Rahaman, Donna M. G. Comissiong
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Abstract

This article explores the passing networks for the most used team formations of Manchester United and Chelsea during the 2016/2017 Premier League Season. A passing matrix is created for each team which distributes the average passes between players in a game. This facilitates the calculation of three centrality measures complementary to those previously explored by (López-Peña and Touchette 2012). These measures unlock hidden details about the strengths and weaknesses within the networks. Such include the extent to which a player stays or leaves his position, the ability of a player to affect the game through penetration, and a player’s pass distribution evenness within the team. The optimal assignment for each network is also determined by applying the Travelling Salesman Problem, thereby establishing the least number of passes that keeps all players within each team connected. Useful knowledge can be obtained from this analysis - to inform coaching staff and enhance the overall level of play. Keywords: territorial, penetration, balance, optimal-assignment, team-connectivity
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分析足球传球网络的效率
本文探讨了 2016/2017 赛季英超联赛中曼联队和切尔西队最常用阵型的传球网络。本文为每支球队创建了一个传球矩阵,该矩阵分布了球员在一场比赛中的平均传球次数。这有助于计算三个中心性度量,与之前(López-Peña 和 Touchette,2012 年)所探索的度量相辅相成。这些指标揭示了网络中隐藏的优缺点细节。其中包括球员在其位置上停留或离开的程度、球员通过渗透影响比赛的能力以及球员在队内传球分布的均匀性。通过应用旅行推销员问题(Travelling Salesman Problem),还可以确定每个网络的最佳分配,从而确定最少的传球次数,使每个队内的所有球员保持联系。从这一分析中可以获得有用的知识--为教练员提供信息,并提高整体比赛水平。关键词:地域、渗透、平衡、最佳分配、团队连接性
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