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Simple, distance-dependent formulation of the Watts-Strogatz model for directed and undirected small-world networks

Simple, distance-dependent formulation of the Watts-Strogatz model for directed and undirected small-world networks

Small-world networks---complex networks characterized by a combination of high clustering and short path lengths---are widely studied using the paradigmatic model of Watts and Strogatz (WS). Although the WS model is already quite minimal and intuitive, we describe an alternative formulation of the WS model in terms of a distance-dependent probability …