多即是少：分形区域中的连通性
More is less: Connectivity in fractal regions
摘要：
Ad-hoc网络通常部署在边界复杂的区域。我们表明，如果边界被建模为分形，需要视线连接的网络具有违反直觉的属性，即增加节点的数量会降低完全连接的概率。我们将这种衰减作为一个拉伸指数涉及的分形维数的边界，并讨论缓解策略。这项研究的应用包括在崎岖的地形（如铁路切割），毫米波网络在工业环境和城市环境中的车辆到车辆/车辆到基础设施网络的传感器网络的分析和设计。
英文摘要：
Ad-hoc networks are often deployed in regions with complicated boundaries. We show that if the boundary is modeled as a fractal, a network requiring line of sight connections has the counterintuitive property that increasing the number of nodes decreases the full connection probability. We characterise this decay as a stretched exponential involving the fractal dimension of the boundary, and discuss mitigation strategies. Applications of this study include the analysis and design of sensor networks operating in rugged terrain (e.g. railway cuttings), mm-wave networks in industrial settings and vehicle-to-vehicle/vehicle-to-infrastructure networks in urban environments.
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