论文标题
足球传递网络的鲁棒性反对连续节点和链接删除
Robustness of football passing networks against continuous node and link removals
论文作者
论文摘要
当我们将玩家视为节点时，我们可以构建通过网络，而通行证是足球比赛的链接。因此，我们可以使用网络科学中开发的工具来分析网络。在表征网络的各种指标中，中心度指标经常被用来识别通过网络中的关键参与者。但是，到目前为止，人们对网络的稳健性（即稳健性）的宽容或传球被封锁的宽容迄今为止尚不清楚。由于传递网络的鲁棒性可以与持有球的增加有关，因此与游戏的结果密切相关。在这里，我们开发了属于日本职业足球联盟的18支球队的45场比赛的依赖性传球网络。然后，通过两种删除方法将节点或链接连续从通过网络中删除，以便我们可以评估这些网络针对删除的鲁棒性。结果表明，这些通过网络通常包含集线器（主要播放器通过）。然后，我们详细分析了最强大的网络，发现它们的全部背部经常通过唤起对攻击的重视来提高鲁棒性。此外，我们证明了通过网络和团队绩效的鲁棒性具有正相关。
We can construct passing networks when we regard a player as a node and a pass as a link in football games. Thus, we can analyze the networks by using tools developed in network science. Among various metrics characterizing a network, centrality metrics have often been used to identify key players in a passing network. However, a tolerance to players being marked or passes being blocked in a passing network, namely the robustness of the network, has been poorly understood so far. Because the robustness of a passing network can be connected to the increase of ball possession, it would be deeply related to the outcome of a game. Here, we developed position-dependent passing networks of 45 matches by 18 teams belonging to the Japan Professional Football League. Then, nodes or links were continuously removed from the passing networks by two removal methods so that we could evaluate the robustness of these networks against the removals. The results show that these passing networks commonly contain hubs (key players making passes). Then, we analyzed the most robust networks in detail and found that their full backs increase the robustness by often invoking a heavier emphasis on attack. Moreover, we showed that the robustness of the passing networks and the team performance have a positive correlation.
