在无尺度网络上,最短路径的透.
Minsuk Kim1, Lorenzo Cirigliano2, Claudio Castellano3
1Indiana University, Bloomington, Center for Complex Networks and Systems Research, Luddy School of Informatics, Computing, and Engineering, Indiana 47408, USA.
Physical review. E
|February 20, 2026
概括
在无尺度网络上的最短路径透模型显示了独立于度指数的过渡,类似于埃尔多斯-雷尼网络. 这是因为这个过程在过渡之前使网络结构均化.
科学领域:
- 网络科学 网络科学
- 统计物理学的统计物理.
- 复杂的系统复杂的系统.
背景情况:
- 最短路径透 (SPP) 模型模拟了资源消耗和网络崩.
- 在Erdős-Rényi网络 (ERN) 上的SPP在有限的预算中显示出普通债券透的普遍性,但在无限的预算中变得更加突如其来的.
研究的目的:
- 在随机无尺度网络 (SFN) 上调查 SPP 过渡.
- 与ERN相比,确定SFN是否表现出不同的透行为.
主要方法:
- 大规模的数值模拟.
- 有限尺寸缩放分析. 有限尺寸缩放分析.
- 在随机无尺度网络上研究了SPP,具有权力法度分布.
主要成果:
- 在SFN上的SPP过渡与在ERN上的SPP过渡相同,不管是多少度指数.
- 该研究区分了有限预算和无限预算的SPP通用性类别.
- 在SPP过程中,在过渡之前,SFN的异质结构得到了同质化.
结论:
- SFN的异质性不会影响SPP过渡的普遍性类.
- SPP模型提供了对跨不同网络拓的网络过渡的统一理解.
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