ElizaldeDeutsch

Reading the steps in the order first, last, second, second to last, and so on, a step of the image is an up step when its matching step has not yet been read.

FindStatMp00122via DyckPath↗

ElizaldeDeutsch(DyckPath)Reading the steps in the order first, last, second, second to last, and so on, a step of the image is an up step when its matching step has not yet been read.

Typed signatures

Type	Package	Applies
(dyck_path) -> dyck_path	combinatorics	always

Domain: Combinatorial maps

Details

• Takes a DyckPath and returns a DyckPath — a typed map, so a wrong carrier is a type error rather than a wrong answer.
• FindStat's Mp00122, the bijection of Elizalde and Deutsch.

Examples

Basic #

the Dyck path $UUDDUD$

live ↗

In$\mathrm{ElizaldeDeutsch}({\operatorname{DyckPath}}([1, 1, 0, 0, 1, 0]))$Out${\operatorname{DyckPath}}([1, 1, 1, 0, 0, 0])$

About

Examples	1
Crosswalk	FindStat