Many studies have considered the preferential attachment mechanism to cause scale-free networks. On the contrary, a network evolution model based on nonpreferential attachment is proposed to explain some non-scale-free network, and the existence of a stable degree distribution of the model is theoretically proven. Three methods are suggested to estimate the distribution. The model’s significance shows that preferential attachment is not the only mechanism of tail power-law distribution, which gives a reasonable explanation to non-scale-free phenomenon. Our results provide a new train of thought for understanding the degree distribution of network.

中文翻译：

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非优先依恋导致无标度

许多研究已经考虑了导致无标度网络的优先连接机制。相反，提出了一种基于非优先附件的网络演化模型来解释一些非标度网络，并从理论上证明了该模型的稳定度分布。建议使用三种方法来估计分布。该模型的意义表明，优先依附不是尾部幂律分布的唯一机制，这为非标度现象提供了合理的解释。我们的结果为理解网络的程度分布提供了新的思路。