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Combinatorial specifications for juxtapositions of permutation classes
2019 (English)In: The Electronic Journal of Combinatorics, ISSN 1097-1440, E-ISSN 1077-8926, Vol. 26, no 4, article id P4.4Article in journal (Refereed) Published
Abstract [en]

We show that, given a suitable combinatorial specification for a permutation class C, one can obtain a specification for the juxtaposition (on either side) of C with Av(21) or Av(12), and that if the enumeration for C is given by a rational or algebraic generating function, so is the enumeration for the juxtaposition. Furthermore this process can be iterated, thereby providing an effective method to enumerate any 'skinny' k x 1 grid class in which at most one cell is non-monotone, with a guarantee on the nature of the enumeration given the nature of the enumeration of the non-monotone cell.

Place, publisher, year, edition, pages
Electronic Journal of Combinatories , 2019. Vol. 26, no 4, article id P4.4
National Category
Discrete Mathematics
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URN: urn:nbn:se:umu:diva-164989ISI: 000489745700004OAI: oai:DiVA.org:umu-164989DiVA, id: diva2:1369104
Available from: 2019-11-11 Created: 2019-11-11 Last updated: 2019-11-11Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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  • de-DE
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  • nn-NB
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  • Other locale
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