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Dynamics on spatial networks and the effect of distance coarse graining

Zeng, An ; Zhou, Dong ; Hu, Yanqing ; Fan, Ying ; Di, Zengru

In: Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, no. 21-22, p. 3962-3969

Recently, spatial networks have attracted much attention. The spatial network is constructed from a regular lattice by adding long-range edges (shortcuts) with probability P(r)∼r−δ, where r is the geographical distance between the two ends of the edge. Also, a cost constraint on the total length of the additional edges is introduced...