On the Length of a Random Minimum Spanning Tree

Colin Cooper; Alan Frieze; Nate Ince; Svante Janson; Joel Spencer

doi:10.1017/S0963548315000024

On the Length of a Random Minimum Spanning Tree

Colin Cooper, Alan Frieze, Nate Ince, Svante Janson, Joel Spencer

Research output: Contribution to journal › Article › peer-review

Abstract

We study the expected value of the length Ln of the minimum spanning tree of the complete graph Kn when each edge e is given an independent uniform [0, 1] edge weight. We sharpen the result of Frieze [6] that lim n→â (Ln) = ζ(3) and show that where c 1, c 2 are explicitly defined constants.

Original language	English (US)
Pages (from-to)	89-107
Number of pages	19
Journal	Combinatorics Probability and Computing
Volume	25
Issue number	1
DOIs	https://doi.org/10.1017/S0963548315000024
State	Published - Jan 1 2016

ASJC Scopus subject areas

Theoretical Computer Science
Statistics and Probability
Computational Theory and Mathematics
Applied Mathematics

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10.1017/S0963548315000024

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On the Length of a Random Minimum Spanning Tree

Abstract

ASJC Scopus subject areas

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