Permutations with forbidden subsequences and nonseparable planar maps

被引：33
|
作者：
Dulucq, S
Gire, S
West, J
机构：
[1] LaBRI, Université Bordeaux 1, URA CNRS 1304
来源：
DISCRETE MATHEMATICS | 1996年 / 153卷 / 1-3期
关键词：
D O I：
10.1016/0012-365X(95)00130-O
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The goal of the present work is to connect combinatorially a family of maps to a family of permutations with forbidden subsequences. We obtain a generating tree of nonseparable planar rooted maps and show that this tree is the generating tree of a family of permutations. The distribution of these permutations is then obtained. Finally, the different steps leading to the combinatorial proof of West's conjecture are listed.
引用
收藏
页码：85 / 103
页数：19
相关论文
共 50 条
  • [31] Decreasing subsequences in permutations and Wilf equivalence for involutions
    Bousquet-Mélou, M
    Steingrímsson, E
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2005, 22 (04) : 383 - 409
  • [32] Continuously increasing subsequences of random multiset permutations
    Clifton, Alexander
    Deb, Bishal
    Huang, Yifeng
    Spiro, Sam
    Yoo, Semin
    EUROPEAN JOURNAL OF COMBINATORICS, 2023, 110
  • [33] Twins in words and long common subsequences in permutations
    Bukh, Boris
    Zhou, Lidong
    ISRAEL JOURNAL OF MATHEMATICS, 2016, 213 (01) : 183 - 209
  • [34] DOMINATED PERMUTATIONS OF SUBSEQUENCES OF RANDOM-VARIABLES
    MEYEROWITZ, A
    SCHWARTZ, M
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 294 (01) : 287 - 294
  • [35] Monotone Subsequences in High-Dimensional Permutations
    Linial, Nathan
    Simkin, Michael
    COMBINATORICS PROBABILITY & COMPUTING, 2018, 27 (01): : 69 - 83
  • [36] Permutations with one or two 132-subsequences
    Bona, M
    DISCRETE MATHEMATICS, 1998, 181 (1-3) : 267 - 274
  • [37] Decreasing Subsequences in Permutations and Wilf Equivalence for Involutions
    Mireille Bousquet-Mélou
    Einar Steingrímsson
    Journal of Algebraic Combinatorics, 2005, 22 : 383 - 409
  • [38] MONOTONE SUBSEQUENCES IN LOCALLY UNIFORM RANDOM PERMUTATIONS
    Sjostrand, Jonas
    ANNALS OF PROBABILITY, 2023, 51 (04): : 1502 - 1547
  • [39] Catalan continued fractions, and increasing subsequences in permutations
    Brändén, P
    Claesson, A
    Steingrímsson, E
    DISCRETE MATHEMATICS, 2002, 258 (1-3) : 275 - 287
  • [40] Longest alternating subsequences in pattern-restricted permutations
    Firro, Ghassan
    ELECTRONIC JOURNAL OF COMBINATORICS, 2007, 14 (01):
12345