In this work, we address the problem of identifying a set of nodes that are critical to the rate
of convergence of consensus dynamics in large-scale spatial networks. By assuming that
nodes are uniformly distributed over a spatial region and that these can communicate with
others in an infinitesimally small neighborhood, we start by formulating the consensus
problem by means of a partial differential equation involving the Laplace operator, subject to
Neumann boundary condition. As with its finite-dimensional counterpart, we observe how …