format = A,C,D,E,LR,P,S,Z

Specifies the format of the tree. The default is LR. See Iterator[Trees] for a description of the formats.

The Transpose command computes the transpose of a tree. The transpose of a binary tree is formed by interchanging left and right links. The transpose of a tree of a given format is computed by converting it to a binary tree, interchanging, then converting back to the specified format.

The tree parameter is the tree.

$\mathrm{with}\left(\mathrm{Iterator}:-\mathrm{Trees}\right)\:$

$L,R≔\mathrm{Random}\left(4\,\mathrm{format}=\mathrm{LR}\right)$

$L,R≔\left[\begin{array}{cccc}2& 3& 0& 0\end{array}\right],\left[\begin{array}{cccc}4& 0& 0& 0\end{array}\right]$

$\mathrm{Transpose}\left(L\,R\right)$

$\left[\begin{array}{cccc}2& 0& 0& 0\end{array}\right],\left[\begin{array}{cccc}3& 0& 4& 0\end{array}\right]$

Knuth, Donald Ervin. The Art of Computer Programming, volume 4, fascicle 4; generating all trees, sec. 7.2.1.6, generating all trees, exercise 12, p. 33.

The Iterator[Trees][Transpose] command was introduced in Maple 2016.

For more information on Maple 2016 changes, see Updates in Maple 2016.