The longest edge of the one-dimensional soft random geometric graph with boundaries

The object of study is a soft random geometric graph with vertices given by a Poisson point process on a line and edges between vertices present with probability that has a polynomial decay in the distance between them. Various aspects of such models related to connectivity structures have been stud...

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Veröffentlicht in:	arXiv.org 2023-11
Hauptverfasser:	Rousselle, Arnaud, Sönmez, Ercan
Format:	Artikel
Sprache:	eng
Schlagworte:	Apexes Asymptotic properties Boundaries Convergence Decay Extreme value theory Extreme values Graph theory Mathematics - Probability Phase transitions Polynomials Random variables
Online-Zugang:	Volltext
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