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On the Length of a Random Minimum Spanning Tree
Univ London, Kings Coll, Dept Comp Sci, London WC2R 2LS, England..
Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15217 USA..
Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15217 USA..
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Probability Theory.
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2016 (English)In: Combinatorics, probability & computing, ISSN 0963-5483, E-ISSN 1469-2163, Vol. 25, no 1, 89-107 p.Article in journal (Refereed) Published
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Abstract [en]

We study the expected value of the length L-n of the minimum spanning tree of the complete graph K-n when each edge e is given an independent uniform [0, 1] edge weight. We sharpen the result of Frieze [6] that lim(n ->infinity) E(L-n) = zeta(3) and show that E(L-n) = zeta(3) + c(1)/n + c(2) + o(1)/n4/3, where c(1), c(2) are explicitly defined constants.

Place, publisher, year, edition, pages
2016. Vol. 25, no 1, 89-107 p.
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Mathematics Computer and Information Sciences
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URN: urn:nbn:se:uu:diva-275563DOI: 10.1017/S0963548315000024ISI: 000367821900004OAI: oai:DiVA.org:uu-275563DiVA: diva2:900480
Funder
Knut and Alice Wallenberg Foundation
Available from: 2016-02-04 Created: 2016-02-04 Last updated: 2018-01-10Bibliographically approved

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Janson, Svante

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