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- W4246505497 abstract "Under the unifying umbrella of a general result of Penrose and Yukich ( Annals of Applied Probability 13 (2003), 277-303) we give laws of large numbers (in the L p sense) for the total power-weighted length of several nearest-neighbour-type graphs on random point sets in ℝ d , d ∈ ℕ. Some of these results are known; some are new. We give limiting constants explicitly, where previously they have been evaluated in less generality or not at all. The graphs we consider include the k -nearest-neighbours graph, the Gabriel graph, the minimal directed spanning forest, and the on-line nearest-neighbour graph." @default.
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- W4246505497 date "2007-06-01" @default.
- W4246505497 modified "2023-10-05" @default.
- W4246505497 title "Explicit laws of large numbers for random nearest-neighbour-type graphs" @default.
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- W4246505497 doi "https://doi.org/10.1017/s0001867800001786" @default.
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