Asymptotic analysis of k-hop connectivity in the 1D unit disk random graph model

We propose an algorithm for the closed-form recursive computation of joint moments and cumulants of all orders of k-hop counts in the 1D unit disk random graph model with Poisson distributed vertices. Our approach uses decompositions of k-hop counts into multiple Poisson stochastic integrals. As a c...

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Bibliographic Details
Main Author: Privault, Nicolas
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2025
Subjects:
Online Access:https://hdl.handle.net/10356/181960