矩形平面上节点均匀部署的单位磁盘图的度分布

R. Ferrero, F. Gandino
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引用次数: 13

摘要

单元磁盘图是无线网络的一个简单模型。本文研究了矩形平面上均匀随机部署节点的单位圆盘图的度分布。有几篇论文提出了近似边界效应的度分布。本文提出了一种精细的几何分析方法,用于推导度分布的概率质量函数及其均值。通过仿真验证了分析结果的正确性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Degree Distribution of Unit Disk Graphs with Uniformly Deployed Nodes on a Rectangular Surface
Unit disk graphs are a simple model for wireless networks. This paper studies the degree distribution of unit disk graphs for uniformly randomly deployed nodes on rectangular surfaces. Several papers have proposed degree distributions approximating border effects. This paper presents a careful geometric analysis which is used to derive the probability mass function of the degree distribution and its mean. The analysis is validated through simulations which show the accuracy of the proposed distribution.
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