Reverberation is insensitive to connection topology. (A, B) As the value of synaptic rewiring (shuffling) parameter, qr, is increased, both the network clustering coefficient C (A) and mean minimal path length L (B), decrease. Top: These topology changes are shown for networks with N = 500; circles: number of inputs per neuron k = 20; squares: k = 14. Bottom: The same changes are illustrated with three selected values of qr in N = 20 networks (for clarity), showing the transition from regular graph (left), to small-world network (middle), to random graph (right) as qr increases. (C) Duration of evoked reverberation depends on k, not qr. Squares, k = 14; triangles, k = 16; diamonds, k = 18; circles, k = 20. (D) The frequency of PSC clusters is also insensitive to qr over a wide range of values through the space of possible network topologies. All data points are averages over 20 independent realizations for networks with N = 500.