Figure 1
From: Finding and analysing the minimum set of driver nodes required to control multilayer networks
(a) A multilayer network defined by graphs G1(V1, E1) and G2(V2, E2). (b) The common nodes are defined as \(V={V}_{1}\cap {V}_{2}\). From each graph G1 and G2, we construct the graphs G1(V) and G2(V) induced by the set of nodes V. Then, we compute MDS(G1(V)) and MDS(G2(V)). (c) The MDSI is defined as \(MDS({G}_{1}(V))\cap MDS({G}_{2}(V))\). (d) The set of nodes (two nodes) that simultaneously multicontrol both layers is defined as MDSM(G1(V), G2(V)). Note that although the MDSM is defined for any pair of graphs, \(V={V}_{1}\cap {V}_{2}\) is considered in the analysis of metabolic networks. Note that the network layers are not physically coupled.
