在具有结的随机超图中透
1Northumbria University, Department of Computer and Information Sciences, Newcastle upon Tyne NE1 8ST, United Kingdom.
Physical review. E
|June 19, 2025
概括
节点统一了超图的透过程. 它们的去除影响了超边缘的存在,影响了从二级到更高级的阶段过渡,这对于理解网络稳定性至关重要.
科学领域:
- 网络科学 网络科学
- 统计物理 统计物理
- 超图形理论 超图形理论
背景情况:
- 超图的透对于理解复杂系统至关重要.
- 现有的模型缺乏针对不同透过程的统一框架.
- 节点提供了一种新的方法来统一和分析这些过程.
研究的目的:
- 在超图中介绍和定义节点.
- 开发一个统一的分析框架,用于超图的透.
- 研究结对透值和相位转换的影响.
主要方法:
- 使用双分因子图表表示.
- 用消息传递理论进行分析计算.
- 分析透值,临界指数和集群大小.
主要成果:
- 节点统一不同的超图透模型.
- 不同质的超图显示对结的敏感性增加.
- 节点的存在决定了相位过渡 (第二阶段与更高阶段).
- 交叉现象的出现是基于结分数和超边缘枢纽度.
结论:
- 节点为超图透提供了一个多功能框架.
- 超图的稳定性是由多重网络中的节点介导的.
- 结果提供了对网络结构和阶段过渡的见解.
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