InverseZetaMap

The inverse of the zeta map.

FindStatMp00032via DyckPath↗

InverseZetaMap(DyckPath)The inverse of the zeta map.

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 Mp00032. Built from the area sequence one entry at a time, as FindStat does: each entry wraps a stretch of the path so far.

Examples

Basic #

the Dyck path $UUDDUD$

live ↗

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

About

Examples	1
Crosswalk	FindStat