随机的阿波罗网络具有量身定制的集群系数
Eduardo M K Souza1, Guilherme M A Almeida2
1Departamento de Física, <a href="https://ror.org/028ka0n85">Universidade Federal de Sergipe</a>, 49100-000 São Cristóvão, Sergipe, Brazil.
Physical review. E
|June 22, 2024
概括
我们通过稀释阿波罗网络来引入一个新的复杂网络家族. 这种方法保留了关键的网络属性,同时改变了聚类系数,证明了对节点移除的稳定性.
科学领域:
- 网络科学 网络科学
- 复杂的系统复杂的系统.
- 统计物理 统计物理
背景情况:
- 阿波罗网络是复杂的网络,具有独特的属性.
- 最近引入了阿波罗网络的二进制版本.
- 了解网络的稳定性和稀释下的特性至关重要.
研究的目的:
- 介绍一个复杂网络的家庭,插入阿波罗的和它的二进制版本.
- 调查随机节点移除如何影响网络属性,特别是聚类系数.
- 分析这些网络的稳定性,以应对节点的随机删除.
主要方法:
- 通过随机节点去除引入稀释过程.
- 分析光谱数量,如地面状态定位度和能量差距.
- 使用枢纽波函数振幅调查旋转对称性损失.
主要成果:
- 聚类系数可以从0.828调整到0.
- 平均路径长度和其他属性保持类似于决定性的阿波罗网络.
- 网络在光谱数量上表现出强度,可以抵御随机节点删除.
结论:
- 稀释过程提供了一种控制网络属性的方法,同时保留核心行为.
- 阿波罗的网络表现出对随机攻击的抵御力.
- 这项研究揭示了小世界属性,网络结构和强度之间的相互作用.
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