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
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
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