Super Critical and Sub Critical Regimes of Percolation with Secure Communication

Rahul Vaze

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arXiv · 1104.1075

Super Critical and Sub Critical Regimes of Percolation with Secure Communication

Rahul Vaze

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Abstract

Percolation in an information-theoretically secure graph is considered where both the legitimate and the eavesdropper nodes are distributed as Poisson point processes. For both the path-loss and the path-loss plus fading model, upper and lower bounds on the minimum density of the legitimate nodes (as a function of the density of the eavesdropper nodes) required for non-zero probability of having an unbounded cluster are derived. The lower bound is universal in nature, i.e. the constant does not depend on the density of the eavesdropper nodes.

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Rahul Vaze. 2011-04-06. Super Critical and Sub Critical Regimes of Percolation with Secure Communication. https://arxiv.org/abs/1104.1075

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