Figure 5
From: Potential energy of complex networks: a quantum mechanical perspective
Median \(V_m(x)\) of the reconstructed potentials \(V_i(x)\,(i=1,\dots ,M)\), for \(M=100\) ER networks, \(N=500\) nodes and connection probability p. The critical value is \(p_c = 1/(N-1)\simeq 2 \times 10^{-3}\). Left panel: \(p<p_c\), with p ranging from \(10^{-4}\) (top) to \(2 \times 10^{-3}\) (bottom). Right panel: \(p>p_c\), with p ranging from \(2 \times 10^{-3}\) (bottom) to 0.9 (top). The values of p are given in the insets. For \(p < p_c\), the ensemble potentials are not smooth and decrease as p approaches the critical value from below (left). For \(p\gg p_c\), \(V_m(x)\) rapidly increases and reaches a saturation value (right).
