中文摘要：

选取复杂网络特征变量—聚集系数为研究目标,通过数学推导与证明,清晰描述了k-核与聚集系数的关联性。通过仿真实验证明,随着k-核的不断解析、k值的不断增加,网络聚集系数亦呈现逐步增加的趋势。该结论为k-核解析在复杂网络中的进一步应用提供相应的理论基础与指导。

英文摘要：

K-core analysis is an effective way to simplify the graphic topological structure. Many researches considered that the higher value k is, the more important the core is in complex network. But the relevance analysis between k-core and clustering coefficient has not been made. Experimental results show that with the k-core analysis, the trend of the clustering coefficient is consistent with k. The proposed conclusions can provide theoretical basis and guidance for the future applications of k-core analysis in complex network.