The Statistical Mechanics of Random Set Packing and a Generalization of the Karp-Sipser Algorithm

Figure 7

RS cavity method analytical prediction (57) for MSP size in 𝔾_𝑃𝑅(𝑑,𝑐) (dot-dashed) compared with the set packing size from phase 1 of the GKS algorithm (dashed lines) and with a complete run of the algorithm (continuous lines).