  Information processing networks are the result of local rewiring rules. In
many instances, such rules promote links where the activity at the two end
nodes is positively correlated. The conceptual problem we address is what
network architecture prevails under such rules and how does the resulting
network, in turn, constrain the dynamics. We focus on a simple toy model that
captures the interplay between link self-reinforcement and a Self-Organised
Critical dynamics in a simple way. Our main finding is that, under these
conditions, a core of densely connected nodes forms spontaneously. Moreover, we
show that the appearance of such clustered state can be dynamically regulated
by a fatigue mechanism, eventually giving rise to non-trivial avalanche
exponents.
