Figure 1
The Cartesian product of two Watts-Strogatz23 1D networks.
Left panel: the two Watts-Strogatz networks WS1 (red on line) and WS2 (blue on line) are presented by using respectively a circular and a linear layout. This latter yields the planar representation of the Cartesian Product network, as displayed in the middle panel. According to this picture the Cartesian network appears as a perturbation of a regular 2D lattice. Right panel: the 3D view of the Cartesian Product. Links in the Cartesian Product are colored as in the individual factor network (the same convention has been used in the middle panel). Nodes are instead colored according to a grey scale for each layer of the product, from white (corresponding to node 6 in WS2) to black (corresponding to node 1 in WS2). The cylindrical shape is obtained by imposing a circular layout to WS1 and a chain layout to WS2.
