Proves that tori, spheres, and cubes admit thresholds for all monotone properties in random geometric graphs by connecting thresholds to uniform expansion.
F.,The geometry of discrete groups, Graduate Texts in Mathematics, Springer-Verlag, New York
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Thresholds for geometric graphs
Proves that tori, spheres, and cubes admit thresholds for all monotone properties in random geometric graphs by connecting thresholds to uniform expansion.