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| Research on Complex Network Model with the Bimodal Effect |
| LIU Shengjiu1,2, LI Tianrui1,2, ZHU Jie1,2,3, WANG Hongjun1,2
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1. School of Information Science and Technology, Southwest Jiaotong University, Chengdu 611756, China;
2. Key Lab of Cloud Computing and Intelligent Technique, Sichuan Province, Chengdu 611756, China;
3. Department of Computer Science, Tibetan University, Lasa 850000, China |
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Abstract The method of growth and preferential attachment applied by the classic BA scale-free network model to deal with connections between nodes of network will result in unlimited connections and other defects. This paper improves the method of connections of BA network model by introducing the maximum number of connections, having a sub-linear growth in the number of connections of new nodes and using Logistic function. Then a new network model named BE with a bimodal degree distribution is obtained. Its several properties are also provided. This model may be applied to explain the socio-economic polarization in the real world well. Moreover, the shifting and zooming of the peak may be achieved by adjusting its parameters. BE network model will be degenerated to BA network model in the limiting case.
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Received: 08 October 2015
Published: 24 February 2025
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