Model of a random geometric graph with attachment to the coverage area


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Abstract

We propose a model of random geometric graph with vertices in ℝn and ℤn as an alternative to existing models of ad-hoc wireless networks. We provide estimates for some graph invariants in our model in ℝ1 and ℤn.

About the authors

S. N. Khoroshenkikh

Moscow Institute of Physics and Technology

Author for correspondence.
Email: khoroshenkikh@phystech.edu
Russian Federation, Moscow

A. B. Dainiak

Moscow Institute of Physics and Technology

Email: khoroshenkikh@phystech.edu
Russian Federation, Moscow

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