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Asymptotic critical transmission radii in random geometry graphs over three-dimensional regions

Probability 2025-11-24 v1 Networking and Internet Architecture

Abstract

This article presents the precise asymptotical distribution of two types of critical transmission radii, defined in terms of k-connectivity and the minimum vertex degree, for random geometry graphs distributed over three-dimensional regions.

Keywords

Cite

@article{arxiv.2511.17046,
  title  = {Asymptotic critical transmission radii in random geometry graphs over three-dimensional regions},
  author = {Jie Ding and Shuai Ma and Xiang Wei and Xiaohua Xu and Xinshan Zhu},
  journal= {arXiv preprint arXiv:2511.17046},
  year   = {2025}
}