Incoprea Research Hypothesis tests III · 30 Oct 2026

Coupling spreads failure

One of five posted claims tested on 30 October 2026.

The posted claim Coupling networks together improves efficiency and creates failure paths that neither network had; cascades should be larger in coupled systems.

What we did

Two Erdős–Rényi networks (N = 20,000, mean degree 4) coupled node-to-node. A fraction φ is removed from both, and a mutual-giant-component cascade propagates through the dependency links (Buldyrev et al. 2010).

What we found

The coupled system collapses (survival < 5%) at φ = 0.60, where a single network still has 24.9% of its nodes and collapses only at φ = 0.75. At φ = 0.60 the coupled system retains 0.7% of nodes — a 24-percentage-point coupling penalty.

survival vs removal fraction
Surviving fraction against the removal fraction for a single network and for two coupled networks.

Verdict: Supported.