The Minimum Spanning Tree Constant in Geometrical Probability and Under the Independent Model; A Unified Approach

Given n uniformly and independently points in the d dimensional cube of unit volume, it is well established that the length of the minimum spanning tree on these n points is asymptotic to /3MsT(d)n(d-l)/d,where the constant PMST(d) depends only on the dimension d. It has been a major open problem to...

Full description

Bibliographic Details
Main Authors: Avram, Florin, Bertsimas, Dimitris J.
Format: Working Paper
Language:en_US
Published: Massachusetts Institute of Technology, Operations Research Center 2004
Online Access:http://hdl.handle.net/1721.1/5189