Figure 10

The d-strength \(s_{d}(v)\) versus the the d-degree \(k_{d}(v)\) of a node v when d is equal to 2 (blue line), 3 (yellow line) and 4 (green line) respectively in each collaboration network. The vertical axis is normalized by the average number \(\omega_d\) of activations of a hyperlink of order \(d\). The dashed line represent the reference case \(s_{d}(v) = \omega _d*k_{d}(v)\). In total 30 linear bins are split for horizontal axis.