RunComposition

The lengths of the maximal runs of equal letters, left to right.

FindStatMp00097via BinaryWord↗

RunComposition(BinaryWord)The lengths of the maximal runs of equal letters, left to right.

Typed signatures

Type	Package	Applies
(binary_word) -> composition	combinatorics	always

Domain: Combinatorial maps

Details

• Takes a BinaryWord and returns a IntegerComposition — a typed map, so a wrong carrier is a type error rather than a wrong answer.
• FindStat's Mp00097, the delta morphism. Lossy: it forgets the first letter, so each composition has two words.

Examples

Basic #

the binary word $01100$

live ↗

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

About

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