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math.PR2026
Planarity and number of crossings in general models of random geometric graphs
Hanna Döring, Kinga Nagy
Consider a random geometric graph with vertices given by a Poisson point process, and whose edges depend on independent marks corresponding to the vertices and pairs of vertices. I…
math.PR2025
Existence of a plane without edge crossings in projections of the random geometric graph
Lianne de Jonge, Kinga Nagy
Consider a random geometric graph with a vertex set defined by a Poisson point process with intensity in a convex body. We can generate a drawing of the graph by projecti…