Percolation · higher-order networks
Percolation on Simplicial Complexes

Bond percolation on simplicial complexes of dimension k=1 (pairwise), k=2 (triangles), and k=3 (tetrahedra). Higher-order interactions produce sharper, near-discontinuous transitions vs the second-order transition of standard network percolation. Computes giant component fraction and susceptibility for finite-size scaling.