Abstract
Permutations avoiding all patterns of a given shape (in the sense of Robinson, Schensted, and 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.
| Original language | English |
|---|---|
| Pages (from-to) | 162-176 |
| Number of pages | 15 |
| Journal | Journal of Combinatorial Theory. Series A |
| Volume | 97 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2002 |
Bibliographical note
Funding Information:1Both authors supported in part by the Israel Science Foundation and by internal research grants from Bar-Ilan University.