| 那日萨,张书超,穆青.一类变幂率的无标度网络模型构建和分析[J].,2010,(5):811-815 |
| 一类变幂率的无标度网络模型构建和分析 |
| Model construction and analyses of a class of scale-free network with variable power law exponent |
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| DOI：10.7511/dllgxb201005033 |
| 中文关键词: 无标度网络 幂率 BA模型 择优连接 |
| 英文关键词: scale-free network power law exponent BA model preferential attachment |
| 基金项目:国家自然科学基金资助项目(70571007). |
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| 中文摘要: |
| 多数现实网络的度分布指数(幂指数)介于(2,3)，而BA网络的度分布指数恒等于3．基于BA模型，引入老节点之间的择优连接机制，建立了一类变幂率的无标度网络模型，给出了这类复杂网络演化的解析结果，证明了在不同的参数下，其幂指数介于 2,3 ．同时指出，BA网络只是该模型的一个特例，通过一些实际网络数据的分析，说明了该网络模型的有效性和合理性． |
| 英文摘要: |
| Most of the scaling exponents in real network are scattered between 2 and 3, while the exponent of BA network is 3 constantly. Based on the BA model, the preferential attachment mechanism between the existing vertexes is imported and a scale-free network whose scaling exponent can change in some certain scope is proposed. The degree distribution is calculated analytically and the analytical results indicate that the scaling exponent varies from 2 to 3 under different values of the parameters. It is also pointed out that the BA network model is the particular case of the model. And through the analyses of some data of the real networks, the model is proved to be reasonable and effective. |
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