  Optimal percolation is the problem of finding the minimal set of nodes such
that if the members of this set are removed from a network, the network is
fragmented into non-extensive disconnected clusters. The solution of the
optimal percolation problem has direct applicability in strategies of
immunization in disease spreading processes, and influence maximization for
certain classes of opinion dynamical models. In this paper, we consider the
problem of optimal percolation on multiplex networks. The multiplex scenario
serves to realistically model various technological, biological, and social
networks. We find that the multilayer nature of these systems, and more
precisely multiplex characteristics such as edge overlap and interlayer
degree-degree correlation, profoundly changes the properties of the set of
nodes identified as the solution of the optimal percolation problem.
