CoriLeBorgne

The involution that appends a down step to the path, reverses the word, and takes its one rotation that is a Dyck word followed by a down step.

FindStatMp00121via DyckPath↗

CoriLeBorgne(DyckPath)The involution that appends a down step to the path, reverses the word, and takes its one rotation that is a Dyck word followed by a down step.

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 Mp00121.

Examples

Basic #

the Dyck path $UUDDUD$

live ↗

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

About

Examples	1
Crosswalk	FindStat