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On convex permutations

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Date
05/2011
Author
Albert, M.H.
Linton, Stephen Alexander
Ruskuc, Nik
Vatter, V
Waton, S
Keywords
Algebraic generating function
Insertion encoding
Permutation class
Restricted permutation
QA Mathematics
Metadata
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Abstract
A selection of points drawn from a convex polygon, no two with the same vertical or horizontal coordinate, yields a permutation in a canonical fashion. We characterise and enumerate those permutations which arise in this manner and exhibit some interesting structural properties of the permutation class they form. We conclude with a permutation analogue of the celebrated Happy Ending Problem.
Citation
Albert , M H , Linton , S A , Ruskuc , N , Vatter , V & Waton , S 2011 , ' On convex permutations ' , Discrete Mathematics , vol. 311 , no. 8-9 , pp. 715-722 . https://doi.org/10.1016/j.disc.2011.01.009
Publication
Discrete Mathematics
Status
Peer reviewed
DOI
https://doi.org/10.1016/j.disc.2011.01.009
ISSN
0012-365X
Type
Journal article
Rights
This is an author version of the article, which may be different to the published version. The published version is copyright (c)2011 Elsevier B.V. available from http://www.sciencedirect.com
Collections
  • University of St Andrews Research
URI
http://hdl.handle.net/10023/2000

Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.

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