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Dense packing of patterns in a permutation
NADA, KTH, Stockholm SE-100 44, Sweden.
IMA, Mälardalens Högskola, Västerås SE-721 23, Sweden.
Department of Mathematics, KTH, Stockholm SE-100 44, Sweden.
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
2007 (English)In: Annals of Combinatorics, ISSN 0218-0006, E-ISSN 0219-3094, Vol. 11, no 3-4, 459-470 p.Article in journal (Refereed) Published
Abstract [en]

We study the length L k of the shortest permutation containing all patterns of length k. We establish the bounds e -2 k 2 < L k > (2/3 + o(1))k 2. We also prove that as k ? 8, there are permutations of length (1/4 + o(1))k 2 containing almost all patterns of length k. © 2007 Birkhaueser.

Place, publisher, year, edition, pages
2007. Vol. 11, no 3-4, 459-470 p.
Keyword [en]
Pattern containment, Permutation statistic
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-47621DOI: 10.1007/s00026-007-0329-7OAI: oai:DiVA.org:liu-47621DiVA: diva2:268517
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-13

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Wästlund, Johan

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