2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111533For a measure mu supported on a compact connected subset of a Euclidean space which satisfies a uniform d-dimensional decay of the volume of balls we show that the maximal edge in the minimum spanning tree of n indepndent samples from mu is, with high probability (log n/n)^(1/d).5 pagesProbability28A80, 60D05, 60K35text