Degree-Corrected Stochastic Block Model

Community structure with heterogeneous degree distributions

DC-SBM

The degree-corrected SBM fixes the standard SBM's failure on heterogeneous networks. Each node has a propensity θᵢ controlling its degree, while community structure governs connection patterns.

P(Aᵢⱼ=1) = θᵢθⱼBₛᵢₛⱼ
Bₐᵦ = p_in if a=b
Bₐᵦ = p_out if a≠b

Controls

Communities

Statistics

0
Nodes
0
Edges
0.00
Modularity
0.00
In/Out ratio

Node size reflects degree (θᵢ). Edges within communities are shown brighter. Drag nodes to rearrange. Darker edges cross community boundaries.