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Geographical Effects on Complex Networks |
LIN Zhong-Cai1;YANG Lei3;YANG Kong-Qing1,2 |
1Department of Physics, Lanzhou University, Lanzhou 7300002Institute of Applied Physics, Jimei University, Xiamen 3610213Department of Physics, Centre for Nonlinear Studies, and Beijing--Hong Kong--Singapore Joint4Centre for Nonlinear and Complex Systems (Hongkong), Hong Kong Baptist University, Hong Kong |
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Cite this article: |
LIN Zhong-Cai, YANG Lei, YANG Kong-Qing 2004 Chin. Phys. Lett. 21 3214-3217 |
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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.
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Keywords:
89.75.-k
89.75.Fb
05.45.-a
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Received: 01 January 1900
Published: 01 December 2004
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PACS: |
89.75.-k
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(Complex systems)
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89.75.Fb
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(Structures and organization in complex systems)
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05.45.-a
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(Nonlinear dynamics and chaos)
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