The coefficients λ i and ρ i describe the fraction of edges that are connected to degree-i variable and check nodes, respectively.
In 2003 and 2012, the tendency is to have high degree nodes connected to low degree nodes (descending curves).
However, from the end of the 1990s on, the network is consolidated as disassortative, where the tendency is that high degree nodes be connected to low degree nodes.
Two former studies have suggested that the decrease of C(k) can be tentatively attributed to the tendency that large degree nodes are connected to small degree ones in biological networks[ 1, 10].
That is, in a assortative network, high degree nodes tend to connect with other high degree nodes, whereas in a disassortative network, high degree nodes tend to be connected to low degree nodes.
It is possible to observe that the network becomes disassortative over the years, indicating that high degree nodes tend to be connected to low degree nodes.
In the first case, there exists a second derivative of the HC function connected to the degree of freedom n = 5 and derivative degree m = 2, as follows ∂ 2 ∂ r 2 H C ( k, 5, 2, r ) = ( 2 r ) 2 (2.6).
Nodes above the synthetic network nodes in Figure 5 are connected to lower degree nodes and have higher leverage than synthetic network nodes with the same degree.
This measure ranges from −1 to 1 with negative values representing negative degree correlations (so low-degree vertices typically are connected to large-degree vertices), and positive values indicates a positive degree degree correlation so that vertices of a large degree are connected to each other and vertices of low degrees are connected to other low-degree vertices.
The squad is supposed to have incredible power — but that power is directly connected to the degree to which the girls appear under control.
Nodes belonging to the green subgroup are connected to lower degree nodes than themselves, and therefore eigenvector centrality is slightly reduced while leverage is slightly elevated.
