Figure 4. The effects of inter-layer weight D_X and Lévy index θ on the efficiency of Lévy random walks.

The color-coded map describes the time needed to cover 50% of all the nodes (10³) in each layer. From left to right, the structure of network in each layer is ER-ER, ER-SF and SF-SF, respectively. The rectangles highlights the areas that show the largest differences due to the multiplex structure of the system.