| 刘家保,司家东.广义Sierpiński网络拓扑指数信息熵的研究[J].安徽建筑大学学报,2025,33(5):65-70，83 |
| 广义Sierpiński网络拓扑指数信息熵的研究 |
| Research on Topological Index Information Entropy of Generalized Sierpiński Network |
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| DOI： |
| 中文关键词: Sierpiński网络 拓扑指数 信息熵 |
| 英文关键词: Sierpiński network topological indices information entropy |
| 基金项目:安徽省教育厅自然科学基金项目（KJ2020A0478） |
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| 中文摘要: |
| 本文对广义Sierpiński网络边基于度的划分，运用拓扑指数及信息熵的定义，得到十类拓扑指数信息熵的精确表达，分析其拓扑指数信息熵的特性。结果表明：十类拓扑指数信息熵均随网络演化呈上升趋势，表明网络扩展过程中 拓扑复杂性显著增加。研究结果为验证分形网络的确定性生成机制，建模自相似系统提供理论支持。 |
| 英文摘要: |
| This study investigates the degree-based edge partitioning of the generalized Sierpiński network. By applying the definitions of topological indices and information entropy, the exact expressions of ten types of topological index-based information entropies are derived, and their characteristics are analyzed. The results indicate an increasing trend in the information entropy of all ten topological indices with network evolution, demonstrating a significant enhancement in topological complexity during network expansion. These findings provide theoretical support for verifying the deterministic generation mechanism of fractal networks and for modeling self similar systems. |
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