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A Counter-Intuitive Correlation in a Random Tournament
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
2011 (English)In: Combinatorics, probability & computing, ISSN 0963-5483, E-ISSN 1469-2163, Vol. 20, no 1, 1-9 p.Article in journal (Refereed) Published
Abstract [en]

Consider a randomly oriented graph G = (V, E) and let a, s and b be three distinct vertices in V. We study the correlation between the events {a -> s} and {s -> b}. We show that, counter-intuitively, when G is the complete graph K-n, n >= 5, then the correlation is positive. (It is negative for n = 3 and zero for n = 4.) We briefly discuss and pose problems for the same question on other graphs.

Place, publisher, year, edition, pages
2011. Vol. 20, no 1, 1-9 p.
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URN: urn:nbn:se:uu:diva-145230DOI: 10.1017/S0963548310000131ISI: 000285718900001OAI: oai:DiVA.org:uu-145230DiVA: diva2:395670
Available from: 2011-02-07 Created: 2011-02-07 Last updated: 2011-02-07Bibliographically approved

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