Shape Avoiding Permutations
组合数学
2007-05-23 v2
摘要
Permutations avoiding all patterns of a given shape (in the sense of Robinson-Schensted-Knuth) are considered. We show that the shapes of all such permutations are contained in a suitable thick hook, and deduce an exponential growth rate for their number.
引用
@article{arxiv.math/9912119,
title = {Shape Avoiding Permutations},
author = {Ron M. Adin and Yuval Roichman},
journal= {arXiv preprint arXiv:math/9912119},
year = {2007}
}
备注
16 pages; final form, to appear in J. Combin. Theory, Series A