Analytical Lower Bounds on the Critical Density in Continuum Percolation

@article{Kong2007AnalyticalLB,
  title={Analytical Lower Bounds on the Critical Density in Continuum Percolation},
  author={Zhenning Kong and Edmund M. Yeh},
  journal={2007 5th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks and Workshops},
  year={2007},
  pages={1-6}
}
Percolation theory has become a useful tool for the analysis of large-scale wireless networks. We investigate the fundamental problem of characterizing the critical density lambda<sub>c</sub> <sup>(d)</sup> for d-dimensional Poisson random geometric graphs in continuum percolation theory. By using a probabilistic analysis which incorporates the clustering effect in random geometric graphs, we develop a new class of analytical lower bounds for the critical density lambda<sub>c</sub> <sup>(d… CONTINUE READING
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