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| Title: | Substitution-closed pattern classes |
| Authors: | Atkinson, M.D. Ruskuc, Nik Smith, R |
| Keywords: | Permutation Pattern class Substitution Basis QA Mathematics |
| Issue Date: | Feb-2011 |
| Citation: | Atkinson , M D , Ruskuc , N & Smith , R 2011 , ' Substitution-closed pattern classes ' Journal of Combinatorial Theory, Series A , vol 118 , no. 2 , pp. 317-340 . |
| Abstract: | The substitution closure of a pattern class is the class of all permutations obtained by repeated substitution. The principal pattern classes (those defined by a single restriction) whose substitution closure can be defined by a finite number of restrictions are classied by listing them as a set of explicit families. |
| Version: | Postprint |
| Status: | Peer reviewed |
| URI: | http://hdl.handle.net/10023/2149 |
| DOI: | http://dx.doi.org/10.1016/j.jcta.2010.10.006 |
| ISSN: | 0097-3165 |
| Type: | Journal article |
| Rights: | This is an author version of this article. The published version (c) 2010 Elsevier Inc. is available from www.sciencedirect.com |
| Appears in Collections: | University of St Andrews Research Pure Mathematics Research
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