  We study cluster assignment in homogeneous diffusive multi-agent networks.
Given the number of clusters and agents within each cluster, we design the
network graph ensuring the system will converge to the prescribed cluster
configuration. Using recent results linking clustering and symmetries, we show
that it is possible to design an oriented graph for which the action of the
automorphism group of the graph has orbits of predetermined sizes, guaranteeing
the network will converge to the prescribed cluster configuration. We provide
bounds on the number of edges needed to construct these graphs along with a
constructive approach for their generation. We also consider the robustness of
the clustering process under agent malfunction.
