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
关键词：
D O I：
暂无
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.
引用
收藏
页数：14
相关论文
共 50 条
  • [31] PERMUTATIONS ON SYMMETRY CLASSES
    MARCUS, M
    MINC, H
    JOURNAL OF ALGEBRA, 1967, 5 (01) : 59 - &
  • [32] BALLOT SEQUENCES AND RESTRICTED PERMUTATIONS
    RICHARDS, D
    ARS COMBINATORIA, 1988, 25 : 83 - 86
  • [33] Ranking and unranking restricted permutations
    Kagey P.
    Discrete Applied Mathematics, 2024, 355 : 247 - 261
  • [34] Generating permutations with restricted containers
    Albert, Michael H.
    Homberger, Cheyne
    Pantone, Jay
    Shar, Nathaniel
    Vatter, Vincent
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2018, 157 : 205 - 232
  • [35] Dyck paths and restricted permutations
    Mansour, Toufik
    Deng, Eva Y. P.
    Du, Rosena R. X.
    DISCRETE APPLIED MATHEMATICS, 2006, 154 (11) : 1593 - 1605
  • [36] Bijections for refined restricted permutations
    Elizalde, S
    Pak, I
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2004, 105 (02) : 207 - 219
  • [37] Restricted Permutations Enumerated by Inversions
    Franklin, Atli Fannar
    Claesson, Anders
    Bean, Christian
    Ulfarsson, Henning
    Pantone, Jay
    ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE, 2024, (403):
  • [38] Enumeration schemes for restricted permutations
    Vatter, Vincent
    COMBINATORICS PROBABILITY & COMPUTING, 2008, 17 (01): : 137 - 159
  • [39] Restricted permutations and the wreath product
    Atkinson, MD
    Stitt, T
    DISCRETE MATHEMATICS, 2002, 259 (1-3) : 19 - 36
  • [40] Restricted permutations and queue jumping
    Albert, MH
    Aldred, REL
    Atkinson, MD
    van Ditmarsch, HP
    Handley, CC
    Holton, DA
    DISCRETE MATHEMATICS, 2004, 287 (1-3) : 129 - 133
12345