We investigated the minimal feedback vertex set (MFVS) of three regulatory multilayer networks, including the Colitis-Associated Colon Cancer (CACC) network, Human-HIV1 Multiplex Gpi (HHMG) network and Cancer–Immune Cell–Cell (CICC) interaction network (Figs. 1, 2 and 3, respectively). The gene discussed is GPI; the disease is colitis.