تقرير
The distribution of consecutive patterns of length 3 in $3\textrm{-}1\textrm{-}2$-avoiding permutations
| العنوان: | The distribution of consecutive patterns of length 3 in $3\textrm{-}1\textrm{-}2$-avoiding permutations |
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| المؤلفون: | Barnabei, M., Bonetti, F., Silimbani, M. |
| سنة النشر: | 2009 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics |
| الوصف: | We exploit Krattenthaler's bijection between the set $S_n(3\textrm{-}1\textrm{-}2)$ of permutations in $S_n$ avoiding the classical pattern $3\textrm{-}1\textrm{-}2$ and Dyck $n$-paths to study the distribution of every consecutive pattern of length 3 on the set $S_n(3\textrm{-}1\textrm{-}2)$. We show that these consecutive patterns split into 3 equidistribution classes, by means of an involution on Dyck paths due to E.Deutsch. In addition, we state equidistribution theorems concerning triplets of statistics relative to the occurrences of the consecutive patterns of length 3 in a permutation. Comment: 18 pages, 7 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/0904.0079 |
| رقم الأكسشن: | edsarx.0904.0079 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |