The minimal spanning tree and the upper box dimension

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We show that the alpha-weight of an MST over n points in a metric space with upper box dimension d has a bound independent of n if alpha is smaller than d and does not have one if alpha is larger than d.

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Combinatorics, Metric Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/97444

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311481
 http://arxiv.org/abs/math/0311481
 Proc. Amer. Math. Soc. 134:4 (2006), 1183--1187
 doi:10.1090/S0002-9939-05-08061-5

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arXiv