TOPOLOGY PROPERTY AND DYNAMIC BEHAVIOR OF A GROWING SPATIAL NETWORK

Xian-Bin Cao (), Wen-Bo Du (), Mao-Bin Hu, Zhi-Hai Rong, Peng Sun and Cai-Long Chen
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Xian-Bin Cao: School of Electronic and Information Engineering, Beihang University, Beijing 100083, P. R. China
Wen-Bo Du: School of Electronic and Information Engineering, Beihang University, Beijing 100083, P. R. China;
Mao-Bin Hu: School of Engineering Science, University of Science and Technology of China, Hefei 230026, P. R. China
Zhi-Hai Rong: Department of Automation, Donghua University, Shanghai 201620, P. R. China
Peng Sun: School of Computer Science and Technology, University of Science and Technology of China, Hefei 230026, P. R. China
Cai-Long Chen: School of Computer Science and Technology, University of Science and Technology of China, Hefei 230026, P. R. China

International Journal of Modern Physics C (IJMPC), 2011, vol. 22, issue 04, 333-345

Abstract: In this paper, we propose a growing spatial network (GSN) model and investigate its topology properties and dynamical behaviors. The model is generated by adding one nodeiwithmlinks into a square lattice at each time step and the new nodeiis connected to the existing nodes with probabilities proportional to:$({k_j})^{\alpha}/d_{ij}^2$, wherekjis the degree of nodej, α is the tunable parameter anddijis the Euclidean distance betweeniandj. It is found that both the degree heterogeneity and the clustering coefficient monotonously increase with the increment of α, while the average shortest path length monotonously decreases. Moreover, the evolutionary game dynamics and network traffic dynamics are investigated. Simulation results show that the value of α can also greatly influence the dynamic behaviors.

Keywords: Network model; spatial network; evolutionary game; traffic dynamics; 87.23.Kg; 02.50.Le; 87.23.Ge; 89.65.-s; 89.75.Fb (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1142/S0129183111016282

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