构建有针对性的网络,具有所需的最小平衡色彩
Jonathan Martinez1, Teresa Radice2, Francesco Sorrentino1
1Department of Mechanical Engineering, University of New Mexico, Albuquerque, New Mexico 87131, USA.
Chaos (Woodbury, N.Y.)
|November 20, 2025
概括
我们开发了一种新的算法,用于生成具有特定对称性的定向网络. 这种方法将节点扩展为集群,确保结构相同性,以创建具有控制对称性的合成网络.
科学领域:
- 网络科学 网络科学
- 图形理论 图形理论
- 计算生物学 计算生物学
背景情况:
- 生物,社会和技术系统中的实证网络表现出节点对称性.
- 现有的网络生成算法往往无法控制出现的对称性.
研究的目的:
- 介绍一种用于生成具有用户定义对称性的"扩展"定向网络的算法.
- 为可行的网络扩展提供分析条件.
主要方法:
- 开发用于定向网络扩展的算法.
- 基础网络节点转化为集群.
- 扩张和最小扩张的可行性检查.
主要成果:
- 该算法成功生成了具有规定的对称性的定向网络.
- 建立了可行性和最小扩展的分析条件.
- 构建了具有控制对称性的合成网络.
结论:
- 提出的算法提供了一种方法来生成具有特定对称性的定向网络.
- 这种方法有助于创建用于研究对称性相关现象的合成网络.
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