Abstract
Consider a bipartite random geometric graph on the union of two independent homogeneous Poisson point processes ind-space, with distance parameterrand intensities λ and μ. We show ford≥ 2 that if λ is supercritical for the one-type random geometric graph with distance parameter 2r, there exists μ such that (λ, μ) is supercritical (this was previously known ford= 2). Ford= 2, we also consider the restriction of this graph to points in the unit square. Taking μ = τ λ for fixed τ, we give a strong law of large numbers as λ → ∞ for the connectivity threshold of this graph.
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