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arXiv · 1502.05440

Connectivity of Soft Random Geometric Graphs Over Annuli

Alexander P. Kartun-Giles·Orestis Georgiou·Carl P. Dettmann
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Abstract

Nodes are randomly distributed within an annulus (and then a shell) to form a point pattern of communication terminals which are linked stochastically according to the Rayleigh fading of radio-frequency data signals. We then present analytic formulas for the connection probability of these spatially embedded graphs, describing the connectivity behaviour as a dense-network limit is approached. This extends recent work modelling ad hoc networks in non-convex domains.

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Alexander P. Kartun-Giles, Orestis Georgiou, Carl P. Dettmann. 2016-10-26. Connectivity of Soft Random Geometric Graphs Over Annuli. https://doi.org/10.1007/s10955-015-1436-1

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