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测量物理网络中的纠
Cory Glover1, Albert-László Barabási1,2,3
1Network Science Institute, <a href="https://ror.org/04t5xt781">Northeastern University</a>, Boston, Massachusetts 02115, USA.
Physical review letters
|August 30, 2024
概括
物理网络链接无法交叉,导致纠. 我们引入了平均交叉数来量化这种纠,在模型和现实世界网络中准确估计它.
科学领域:
- 网络科学 网络科学
- 图形理论 图形理论
- 拓学的拓学
背景情况:
- 物理网络布局受到非交叉链路要求的限制.
- 这些约束往往导致低于最佳的,纠的网络配置.
- 量化网络纠对于理解和优化网络设计至关重要.
研究的目的:
- 定义和提出一种用于量化网络纠的新型指标.
- 研究网络拓和纠之间的关系.
- 通过模拟和真实世界的网络数据验证拟议的指标.
主要方法:
- 定义网络结构作为网络的二维投影.
- 提出了平均交叉次数作为网络纠的衡量标准.
- 通过分析推导出平均交叉次数对关键网络属性的依赖 (密度,链路长度,异质度,社区结构).
主要成果:
- 平均交叉次数有效量化了网络纠.
- 网络纠被证明可预测地取决于网络密度,平均链路长度,异质度和社区结构.
- 导出的预测准确地估计了网络模型和物理网络中的纠.
结论:
- 平均交叉次数提供了物理网络纠的强大而准确的测量.
- 了解纠对网络属性的依赖,可以实现更好的网络设计和优化.
- 该指标为复杂网络的拓性质提供了有价值的见解.
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