A Note on the Number of Leaves of a Euclidean Minimal Spanning Tree

We show that the number of vertices of degree k in the Euclidean minimal spanning tree through points drawn uniformly from either the d-dimensional torus or from the d-cube, d > 2, are asymptotically equivalent with probability one. Implications are discussed.

Bibliographic Details
Main Author: Jaillet, Patrick
Format: Working Paper
Language:en_US
Published: Massachusetts Institute of Technology, Operations Research Center 2004
Online Access:http://hdl.handle.net/1721.1/5197

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