揭示了小世界网络的隐藏结构
Ahmed Lachgar1, Abdelfattah Achahbar2
1Condensed Matter Group, Department of Physics, Faculty of Sciences, Abdelmalek Essâadi University, Tétouan, Morocco. ahmedlach9ar@gmail.com.
Scientific reports
|March 20, 2024
概括
小世界 (SW) 网络属性源自快捷连接的集群,而不仅仅是快捷计数. 一个新的参数,平均集群度,澄清了SW网络的扩展和行为.
科学领域:
- 复杂系统科学 复杂系统科学
- 网络科学 网络科学
- 统计物理 统计物理
背景情况:
- 瓦茨和斯特罗格茨的小世界 (SW) 网络模型是复杂系统的基础.
- 纽曼-沃茨模型通过将随机快捷方式添加到常规格子中来分析SW网络.
- 目前对SW网络扩展的现有分析缺乏可靠的证据.
研究的目的:
- 重新评估SW网络的扩展特性.
- 确定小世界现象的核心驱动因素.
- 开发一个更精确的SW网络的特征.
主要方法:
- 对以前关于SW网络的研究进行了批判性审查.
- 对网络属性的分析,重点关注快捷连接集群.
- 引入了一个新的参数:通过快捷方式连接集群的平均程度.
- 开发一个阶段图,用于小到大世界的过渡.
主要成果:
- SW属性主要是由通过快捷方式连接的节点集群驱动的.
- 仅仅是快捷方式的平均数量不足以解释SW网络扩展.
- 一个新的参数,平均集群度,解决了SW网络中的缩放模两可.
- 一个相位图说明了小世界和大世界状态之间的交叉过渡.
结论:
- 快捷链接集群的新兴结构对于SW网络行为至关重要.
- 新的参数为分析SW网络提供了更精确的框架.
- 了解新兴结构可以更深入地了解复杂的网络动态.
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