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This is a Quantitative Study study.

October 15, 2025Open Access

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

Key Points

The analysis determined the asymptotic distribution of critical transmission radii for random geometric graphs.
Findings showed how k-connectivity and minimum vertex degree affect the critical radii in higher-dimensional spaces.
The methods used provide insights into the behavior of random graphs in unit-volume regions of higher dimensions.
These results have significant implications for understanding connectivity properties in complex networks.

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 Ω Rᵈ (d 3).

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Cite This Study

Ding et al. (Wed,) studied this question.

synapsesocial.com/papers/68ef858cc6a308ba063553be https://doi.org/https://doi.org/10.48550/arxiv.2507.11879

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