A WEIGHTED NETWORK EVOLUTION WITH TRAFFIC FLOW UNDER PREFERENTIAL ATTACHMENT

Meifeng Dai () and Rongrong Lu
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Meifeng Dai: Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, P. R. China
Rongrong Lu: Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, P. R. China

International Journal of Modern Physics C (IJMPC), 2013, vol. 24, issue 04, 1-11

Abstract: With more attentions drawn to transportation, we find that it is available to analyze transportation system by using weighted networks. Distinguishing from traditional method, we introduce a dynamic weighted network model with evolutional size and weight. Additionally, the expected strength allocation vector of the model consists of a deterministic component reflecting preferential attachment and a random component, which can characterize the realistic network better. In this paper, we obtain the degree and strength distributions of the weighted network and we conclude that the network has scale-free characteristics.

Keywords: Transportation network; weighted network; preferential attachment; degree distribution; strength distribution; 89.75.Hc; 05.60.Cd; 05.10.-a (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1142/S0129183113500204

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