provided the rewiring does not reduce the clustering coefficient overall. Clearly, such a rewiring does not modify the link distribution, but does increase the clustering coefficient. Empirically, we find that at low neighbourhood sizes, this method generates networks with clustering parameters up to w~0:3 before running out of possible rewirings. Whether alternative methods could yield larger values of w without either a significant reduction in the giant component size or other dynamically relevant biases remains an interesting question, however the levels of clustering given by this rewiring are sufficient to demonstrate the qualitative epidemiological effects in which we are interested. Other recent work making use of this rewiring includes [25, 26] .