A bijection between certain non-crossing partitions and sequences

Details A bijection between certain non-crossing partitions and sequences A bijection between certain non-crossing partitions and sequences

2005-07-19

arxiv.org/abs/math/0507397v1

Discrete Mathematics 286 (2004) 269-275

Mathematics

Combinatorics

8 pages, 6 figures

Scientific paper

We present a bijection between non-crossing partitions of the set $[2n+1]$
into $n+1$ blocks such that no block contains two consecutive integers, and the
set of sequences $\{s_{i}\}_{1}^{n}$ such that $1 \leq s_{i} \leq i$, and if
$s_{i}=j$, then $s_{i-r} \leq j-r$ for $1 \leq r \leq j-1$.

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