具有可调分配系数的生长型无标度小世界网络
Growing Scale-free Small-world Networks with Tunable Assortative Coefficient
摘要:
在本文中,我们提出了一个简单的规则,生成无标度的小世界网络与可调的折射系数。这些网络是由两个阶段添加过程中的每个新的节点。该模型可以再现无标度度分布和小世界效应。仿真结果与理论预测基本一致。有趣的是,我们通过调整参数:优先指数$β$,得到了非平凡的聚类系数$C$和可调程度的重复性$r$。该模型可以统一表征双折射和双折射网络。
英文摘要:
In this paper, we propose a simple rule that generates scale-free small-world networks with tunable assortative coefficient. These networks are constructed by two-stage adding process for each new node. The model can reproduce scale-free degree distributions and small-world effect. The simulation results are consistent with the theoretical predictions approximately. Interestingly, we obtain the nontrivial clustering coefficient $C$ and tunable degree assortativity $r$ by adjusting the parameter: the preferential exponent $β$. The model can unify the characterization of both assortative and disassortative networks.
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