A refined bijection between alternating permutations and 0-1-2 increasing trees

Details A refined bijection between alternating permutations and 0-1-2 increasing trees A refined bijection between alternating permutations and 0-1-2 increasing trees

2010-03-24

arxiv.org/abs/1003.4564v1

Mathematics

Combinatorics

4 pages, 1 figures

Scientific paper

We construct a refined bijection $\phi$ between alternating permutations and
0-1-2 increasing trees with degree at most 2. It satisfies that the first
element of alternating permutation $\pi$ is equal to the first vertex in
$\phi(\pi)$ in the postorder.

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