Low-degree minimal spanning trees in normed spaces
Metric Geometry
2007-05-23 v1 Combinatorics
Abstract
We give a complete proof that in any finite-dimensional normed linear space a finite set of points has a minimal spanning tree in which the maximum degree is bounded above by the strict Hadwiger number of the unit ball, i.e., the largest number of unit vectors such that the distance between any two is larger than 1.
Cite
@article{arxiv.math/0603394,
title = {Low-degree minimal spanning trees in normed spaces},
author = {Horst Martini and Konrad J Swanepoel},
journal= {arXiv preprint arXiv:math/0603394},
year = {2007}
}
Comments
5 pages