Varying  makes it possible to interpolate between a regular lattice () and a structure close to an Erdős–Rényi random graph  with  at . It does not approach the actual ER model since every node will be connected to at least  other nodes.
Varying enables transitioning from a regular lattice () to a structure resembling an Erdős–Rényi random graph  as . However, it does not fully align with the actual ER model due to each node being connected to at least  others.