RiseComposition

The lengths of the maximal runs of up steps, left to right.

FindStatMp00102via DyckPath↗

RiseComposition(DyckPath)The lengths of the maximal runs of up steps, left to right.

Typed signatures

Type	Package	Applies
(dyck_path) -> composition	combinatorics	always

Domain: Combinatorial maps

Details

• Takes a DyckPath and returns a IntegerComposition — a typed map, so a wrong carrier is a type error rather than a wrong answer.

Examples

Basic #

the Dyck path $UUDDUD$

live ↗

In$\mathrm{RiseComposition}({\operatorname{DyckPath}}([1, 1, 0, 0, 1, 0]))$Out${\operatorname{IntegerComposition}}([2, 1])$

About

Examples	1
Crosswalk	FindStat