Growth rates for subclasses of Av(321)

M.H. Albert, M.D. Atkinson, R Brignall, Nik Ruskuc, R Smith, J West

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9 Citations (Scopus)

Abstract

Pattern classes which avoid 321 and other patterns are shown to have the same growth rates as similar (but strictly larger) classes obtained by adding articulation points to any or all of the other patterns. The method of proof is to show that the elements of the latter classes can be represented as bounded merges of elements of the original class, and that the bounded merge construction does not change growth rates.
Original languageEnglish
Article numberR141
Number of pages16
JournalElectronic Journal of Combinatorics
Volume17
Issue number1
Publication statusPublished - 22 Oct 2010

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