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arXiv · 2507.11879

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

Jie Ding·Xiang Wei·Shuai Ma
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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 a random geometry graph distributed over a unit-volume region $\Omega\subset \mathbb{R}^d (d\geq 3)$.

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Jie Ding, Xiang Wei, Shuai Ma. 2025-07-16. Asymptotic Critical Radii in Random Geometric Graphs over Higher-dimensional Regions. https://arxiv.org/abs/2507.11879

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