Grid classes and the Fibonacci dichotomy for restricted permutations

被引:0
|
作者
Huczynska, Sophie [1 ]
Vatter, Vincent [1 ]
机构
[1] Univ St Andrews, Sch Math & Stat, St Andrews, Fife, Scotland
来源
ELECTRONIC JOURNAL OF COMBINATORICS | 2006年 / 13卷 / 01期
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中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce and characterise grid classes, which are natural generalisations of other well-studied permutation classes. This characterisation allows us to give a new, short proof of the Fibonacci dichotomy: the number of permutations of length n in a permutation class is either at least as large as the n th Fibonacci number or is eventually polynomial.
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页数:14
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