| 马飞,姚兵.一类作为网络模型的可平面无标度图[J].,2017,57(4):436-440 |
| 一类作为网络模型的可平面无标度图 |
| A planar scale-free graphs as network models |
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| DOI：10.7511/dllgxb201704016 |
| 中文关键词:无标度图网络模型小世界效应 |
| 英文关键词:scale-free graphnetwork modelsmall-world effect |
| 基金项目:国家自然科学基金资助项目(611630546166206661363060). |
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| 摘要点击次数:1277 |
| 全文下载次数:935 |
| 中文摘要: |
| 无标度特性普遍存在于大量的实际网络和人造网络中．为了更好地研究这类无标度网络模型的拓扑性质和内在动力学，大量的模型被建立，如随机网络模型和确定性网络模型．鉴于以往确定性模型中的无标度指数都是唯一不变的常数，定义了一类具有广义自相似性的增长网络模型，分析了它的一些拓扑性质:平均度、聚集系数、直径、度分布、最多叶子生成树．得出该模型具有无标度特性和小世界效应，并且可以通过调整相应的参数来获得丰富的无标度指数． |
| 英文摘要: |
| The scale-free feature is popular in amounts of real-life and artificial complex networks. In order to study the topological properties and intrinsic dynamics of this kind of scale-free network model, lots of models are presented, such as random network models and deterministic ones. Considering that the scale-free exponent is an unique constant in those previous deterministic models, a generalized self-similarity growing network model is proposed. Its topological properties, including average degree, clustering coefficient, diameter, degree distribution, maximum-leaf-spanning-tree are analyzed. It shows that this model has scale-free characteristics and small-world effects, and the scale-free exponent can be enriched by adjusting corresponding parameters. |
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