Core-Periphery Structure in Complex Networks

Network Parameters

Nodes N: 50 Core fraction α: 0.20 Core-core p_cc: 0.80 Core-periphery p_cp: 0.30 Periphery-periphery p_pp: 0.03

Metrics

Core size: –
Edges (cc): –
Edges (cp): –
Edges (pp): –
Coreness ρ: –

Core

Periphery

Detected core

Borgatti-Everett (2000): ideal core-periphery = block model with C×C dense, C×P medium, P×P sparse. Coreness ρ = correlation between adjacency and ideal CP matrix. Real networks (banks, airports, brain): ρ typically 0.4–0.8.