BOND PERCOLATION — GIANT COMPONENT
Erdős-Rényi random graph: G(N,p). Critical threshold p_c = 1/N
PARAMETERS
Bond probability p:
0.010
Nodes N:
100
New Graph
Sweep p →
Stop
Giant component: —
Components: —
Phase transition:
At p_c=1/N, a giant component suddenly emerges (size ~N^(2/3) at critical point, ~N above it).
Colors:
Each connected component shown in a distinct color. Giant component = brightest.
Sweep:
Watch the order parameter S (giant size/N) jump near p_c.