Figure 8

Expected number of overlaps between a single clique of size \(k < K_{\text {max}}\) and all other cliques of the same size versus j, the amount of sites common to the two cliques. For this extreme value of \(N = 106759066\), we are at the start of the step in which \(K_{\text {max}}\) becomes 46, while \(\log _2N\) is 26.7. A gap has opened at \(K = 32\). For larger values of K, overlaps rapidly shrink. Cliques with \(K = 44\) will overlap at three or fewer sites.