ToricPromotion

Toric promotion of the path graph: swap the values 1 and 2, then 2 and 3, and so on up to n and 1, each swap skipped when the two values sit next to each other.

FindStatMp00310via Permutation↗

ToricPromotion(Permutation)Toric promotion of the path graph: swap the values 1 and 2, then 2 and 3, and so on up to n and 1, each swap skipped when the two values sit next to each other.

Typed signatures

Type	Package	Applies
(permutation) -> permutation	combinatorics	always

Domain: Combinatorial maps

Details

• Takes a Permutation and returns a Permutation — a typed map, so a wrong carrier is a type error rather than a wrong answer.
• FindStat's Mp00310. Its order is n - 1; the inverse is InverseToricPromotion.

Examples

Basic #

the one-line word $231$

live ↗

In$\mathrm{ToricPromotion}({\operatorname{Permutation}}([2, 3, 1]))$Out${\operatorname{Permutation}}([1, 3, 2])$

About

Examples	1
Crosswalk	FindStat