Abstract: This paper introduces a single-parameter model of evolutionary Sierpinski network（ESN） that integrates the deterministic Sierpinski networks，and the random Sierpinski networks.Some of the properties of the evolutionary models on the basis of the complex network could be applied to the study of networks.This article also presents the form of the degree distribution which results from the algorithm proposed，and emulation consequence of the average path length of ESN reveals the small world feature of the new type of network.

摘要： 引入了单一参数的演化Sierpinski网络模型，统一了确定性和随机性两类Sierpinski网络模型。基于复杂网络理论提出的演化模型的一些特征能应用于对现实网络的研究。给出了推导度分布的算法和平均路径长度的仿真结果，数值仿真验证了理论分析的正确性，揭示了新网络模型的“小世界”特征。