Figure 4

Network diagram and comparison between network centrality and ATP level of tournaments. A Example of a co-attendance network generated by the trajectory of a player’s career. In this case, a player’s trajectory consists of four Grand Slam tourneys, from the US Open to Wimbledon (sequence on top of the panel). The resulting network has four nodes and six links. B Comparison between network-based prestige, expressed by the eigenvector centrality (x axis), and the hierarchy of tourneys in the ATP, represented by the points assigned to the winner (y axis). The plot shows that the network-based prestige is positively correlated with the ATP hierarchy. C Histogram of the network-based prestige (that is, the eigenvector centrality) per tournament category in the ATP. The panel indicates that all categories can have tournaments with high (to the right of the dashed line) or low (to the left of the dashed-dotted line) centrality, spanning several orders of magnitude, except for Grand Slams (dark blue bars)