Rich-Club Network Phenomenon
Degree correlations & hub interconnectivity
Network Parameters
Total nodes N:
50
Scale-free γ:
2.5
Rich-club strength:
0.6
Rich-club threshold k_min:
5
Regenerate
Rich-club coefficient:
φ(k) = E_>k / [N_>k(N_>k-1)/2]
Fraction of edges among nodes with degree > k, normalized by maximum possible.
Normalized φ_norm(k) = φ(k) / φ_rand(k)
> 1: rich-club ordering present
Hub nodes (gold) form a dense interconnected core.