Figure 3. A network in which nodes 4, 5, 6 and 7 compose a single cycle cluster.

The high connectivity of node 4 prevents any changes made to the spin of nodes 1–3 from propagating downstream. The only way to indirectly control nodes 8–10 is to target nodes inside of the cycle cluster. Targeting node 4, 6 or 7 will cause the entire cycle cluster to flip away from its initial state, guaranteeing control of nodes 4–10 (see Fig. 4).