The minimal spanning tree and the upper box dimension

Details The minimal spanning tree and the upper box dimension The minimal spanning tree and the upper box dimension

2003-11-26

arxiv.org/abs/math/0311481v2

Proc. Amer. Math. Soc. 134:4 (2006), 1183--1187

Mathematics

Combinatorics

Scientific paper

10.1090/S0002-9939-05-08061-5

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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