LeftBorderSymmetry

Reverse the order of the right subtrees hanging off the left border, applying the same symmetry inside each.

FindStatMp00018via BinaryTree↗

LeftBorderSymmetry(BinaryTree)Reverse the order of the right subtrees hanging off the left border, applying the same symmetry inside each.

Typed signatures

Type	Package	Applies
(binary_tree) -> binary_tree	combinatorics	always

Domain: Combinatorial maps

Details

• Takes a BinaryTree and returns a BinaryTree — a typed map, so a wrong carrier is a type error rather than a wrong answer.
• FindStat's Mp00018, an involution.

Examples

Basic #

a four-node tree

live ↗

In$\mathrm{LeftBorderSymmetry}({\operatorname{BinaryTree}}(\bigl\lbrack\bigl\lbrack0, 0\bigr\rbrack, \bigl\lbrack0, \bigl\lbrack0, 0\bigr\rbrack\bigr\rbrack\bigr\rbrack))$Out${\operatorname{BinaryTree}}(\bigl\lbrack\bigl\lbrack0, \bigl\lbrack0, \bigl\lbrack0, 0\bigr\rbrack\bigr\rbrack\bigr\rbrack, 0\bigr\rbrack)$

About

Examples	1
Crosswalk	FindStat