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Geographical Effects on Complex Networks
Authors:LIN Zhong-Cai  YANG Lei  YANG Kong-Qing
Affiliation:Department of Physics, Lanzhou University, Lanzhou 730000Institute of Applied Physics, Jimei University, Xiamen 361021Department of Physics, Centre for Nonlinear Studies, and Beijing--Hong Kong--Singapore JointCentre for Nonlinear and Complex Systems (Hongkong), Hong Kong Baptist University, Hong Kong
Abstract:
We investigate how the geographical structure of a complex network affects its network topology, synchronization and the average spatial length of edges. The geographical structure means that the connecting probability of two nodes is related to the spatial distance of the two nodes. Our simulation results show that the geographical structure changes the network topology. The synchronization tendency is enhanced and the average spatial length of edges is enlarged when the node can randomly connect to the further one. Analytic results support our understanding of the phenomena.
Keywords:89.75.-k  89.75.Fb  05.45.-a
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