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Asymptotic Critical Radii in Random Geometric Graphs over Higher-dimensional Regions

Probability 2025-07-17 v1

Abstract

This article presents the precise asymptotical distribution of two types of critical transmission radii, defined in terms of kk-connectivity and the minimum vertex degree, for a random geometry graph distributed over a unit-volume region ΩRd(d3)\Omega\subset \mathbb{R}^d (d\geq 3).

Keywords

Cite

@article{arxiv.2507.11879,
  title  = {Asymptotic Critical Radii in Random Geometric Graphs over Higher-dimensional Regions},
  author = {Jie Ding and Xiang Wei and Shuai Ma},
  journal= {arXiv preprint arXiv:2507.11879},
  year   = {2025}
}