由当地规则驱动的网络社区的出现
1Nodes & Links Ltd., Salisbury House, Station Road, Cambridge CB1 2LA, United Kingdom.
Physical review. E
|August 1, 2025
概括
网络社区可以在没有节点异质性的情况下出现. 本研究引入了Ramsey社区号码 (rκ) 来定义保证社区出现的最小图形大小,显示本地网络规则驱动此属性.
科学领域:
- 网络科学 网络科学
- 图形理论 图形理论
- 计算社会科学 计算社会科学
背景情况:
- 自然系统通常被模拟为具有隔离社区的网络.
- 节点异质性 (例如,政治归属,生物功能) 传统上被认为是社区隔离的必要条件.
研究的目的:
- 调查节点异质性是否是网络社区形成的必要要求.
- 引入一个量化措施,以保证社区的出现.
主要方法:
- 使用随机区块模型和Infomap进行社区检测的数值模拟.
- 引入拉姆西社区数 (rκ) 作为近乎确定的社区出现的最小图形大小.
主要成果:
- 节点异质性不是网络社区出现的必要条件.
- 由本地规则生成的网络表现出有限的rκ值,表明出现的社区.
- 随机化网络缺乏新兴社区,不像那些由当地规则形成的社区.
结论:
- 网络社区是一个由本地网络演变规则驱动的新兴属性,而不仅仅是由节点异质性驱动.
- 拉姆齐社区数 (rκ) 为了解社区出现值提供了一个理论框架.
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