  Symmetries in a network regulate its organization into functional clustered
states. Given a generic ensemble of nodes and a desirable cluster (or group of
clusters), we exploit the direct connection between the elements of the
eigenvector centrality and the graph symmetries to generate a network equipped
with the desired cluster(s), with such a synthetical structure being
furthermore perfectly reflected in the modular organization of the network's
functioning. Our results solve a relevant problem of reverse engineering, and
are of generic application in all cases where a desired parallel functioning
needs to be blueprinted.
