InverseDelestViennot

The path whose peaks are the polyomino's columns, for the polyomino the classical bijection gives this path.

FindStatMp00227via DyckPath↗

InverseDelestViennot(DyckPath)The path whose peaks are the polyomino's columns, for the polyomino the classical bijection gives this path.

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 Mp00227, "Delest-Viennot-inverse": the inverse of DelestViennot.

Examples

Basic #

the Dyck path $UUDDUD$

live ↗

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

About

Examples	1
Crosswalk	FindStat