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Title: Growth rates for subclasses of Av(321)
Authors: Albert, M.H.
Atkinson, M.D.
Brignall, R
Ruskuc, Nik
Smith, R
West, J
Keywords: QA Mathematics
Issue Date: 22-Oct-2010
Citation: Albert , M H , Atkinson , M D , Brignall , R , Ruskuc , N , Smith , R & West , J 2010 , ' Growth rates for subclasses of Av(321) ' Electronic Journal of Combinatorics , vol 17 , no. 1 , R141 .
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.
Version: Publisher PDF
Status: Peer reviewed
ISSN: 1097-1440
Type: Journal article
Rights: (c) The authors. Published in the Electronic Journal of Combinatorics at
Appears in Collections:Centre for Interdisciplinary Research in Computational Algebra (CIRCA) Research
University of St Andrews Research
Pure Mathematics Research

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