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.
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Format: | Working Paper |
Language: | en_US |
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Massachusetts Institute of Technology, Operations Research Center
2004
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Online Access: | http://hdl.handle.net/1721.1/5197 |