I disabled #13855 because I have re-implement the latex method of
abstract_tree.py and this one is also redefine in q_tree_factorial-fc.patch.
(the attached file contains some examples of latex output)
Le jeudi 20 décembre 2012 18:40:10 UTC+1, Jean-Baptiste Priez a écrit :
>
> I try to implement some hopf algebra:
>
> - FQSym
> - WQSym
> - PQSym
> - PBT
>
> The 3 firsts are in #13793 (no dependance in combinat) and PBT in #13855
> (depends of binary_trees).
>
> To build these Hopf algebra, I implemented two new combinatoric objets :
> PackedWord for WQSym and ParkingFunctions for PQSym.
>
> FQSym is clean I think... with some bases.
>
> Please comment and help me to improve that.
>
> Jean-Baptiste Priez (phd student of F. Hivert and N.M. Thiéry)
> (Humm... Sorry for my bad english)
>
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sage: t = BinaryTree()
sage: print latext(t)
{\begin{tikzpicture}[auto]
\end{tikzpicture}}
sage: t = BinaryTree([])
sage: print latext(t)
{ \newcommand{\nodea}{\node[draw,circle] (a) {$$}
;}\begin{tikzpicture}[auto]
\matrix[column sep=.3cm, row sep=.3cm,ampersand replacement=\&]{
\nodea\\
};
\end{tikzpicture}}
sage: t = OrderedTree([])
sage: print latext(t)
{ \newcommand{\nodea}{\node[draw,circle] (a) {$$}
;}\begin{tikzpicture}[auto]
\matrix[column sep=.3cm, row sep=.3cm,ampersand replacement=\&]{
\nodea\\
};
\end{tikzpicture}}
sage: t = OrderedTree([[[],[]],[[],[]]]).canonical\_labelling(); print latext(t)
{ \newcommand{\nodea}{\node[draw,circle] (a) {$1$}
;}\newcommand{\nodeb}{\node[draw,circle] (b) {$2$}
;}\newcommand{\nodec}{\node[draw,circle] (c) {$3$}
;}\newcommand{\noded}{\node[draw,circle] (d) {$4$}
;}\newcommand{\nodee}{\node[draw,circle] (e) {$5$}
;}\newcommand{\nodef}{\node[draw,circle] (f) {$6$}
;}\newcommand{\nodeg}{\node[draw,circle] (g) {$7$}
;}\begin{tikzpicture}[auto]
\matrix[column sep=.3cm, row sep=.3cm,ampersand replacement=\&]{
\& \& \& \nodea \& \& \& \\
\& \nodeb \& \& \& \& \nodee \& \\
\nodec \& \& \noded \& \& \nodef \& \& \nodeg \\
};
\path[ultra thick, red] (b) edge (c) edge (d)
(e) edge (f) edge (g)
(a) edge (b) edge (e);
\end{tikzpicture}}
sage: t = BinaryTree([[],[[],[]]]); print latext(t)
{ \newcommand{\nodea}{\node[draw,circle] (a) {$$}
;}\newcommand{\nodeb}{\node[draw,circle] (b) {$$}
;}\newcommand{\nodec}{\node[draw,circle] (c) {$$}
;}\newcommand{\noded}{\node[draw,circle] (d) {$$}
;}\newcommand{\nodee}{\node[draw,circle] (e) {$$}
;}\begin{tikzpicture}[auto]
\matrix[column sep=.3cm, row sep=.3cm,ampersand replacement=\&]{
\& \nodea \& \& \& \\
\nodeb \& \& \& \nodec \& \\
\& \& \noded \& \& \nodee \\
};
\path[ultra thick, red] (c) edge (d) edge (e)
(a) edge (b) edge (c);
\end{tikzpicture}}
sage: t = OrderedTree([[[],[]],[],[[],[]]]).canonical\_labelling(); print latext(t)
{ \newcommand{\nodea}{\node[draw,circle] (a) {$1$}
;}\newcommand{\nodeb}{\node[draw,circle] (b) {$2$}
;}\newcommand{\nodec}{\node[draw,circle] (c) {$3$}
;}\newcommand{\noded}{\node[draw,circle] (d) {$4$}
;}\newcommand{\nodee}{\node[draw,circle] (e) {$5$}
;}\newcommand{\nodef}{\node[draw,circle] (f) {$6$}
;}\newcommand{\nodeg}{\node[draw,circle] (g) {$7$}
;}\newcommand{\nodeh}{\node[draw,circle] (h) {$8$}
;}\begin{tikzpicture}[auto]
\matrix[column sep=.3cm, row sep=.3cm,ampersand replacement=\&]{
\& \& \& \nodea \& \& \& \\
\& \nodeb \& \& \nodee \& \& \nodef \& \\
\nodec \& \& \noded \& \& \nodeg \& \& \nodeh \\
};
\path[ultra thick, red] (b) edge (c) edge (d)
(f) edge (g) edge (h)
(a) edge (b) edge (e) edge (f);
\end{tikzpicture}}
sage: t = OrderedTree([[],[],[[],[],[],[],[]]]).canonical\_labelling(); print latext(t)
{ \newcommand{\nodea}{\node[draw,circle] (a) {$1$}
;}\newcommand{\nodeb}{\node[draw,circle] (b) {$2$}
;}\newcommand{\nodec}{\node[draw,circle] (c) {$3$}
;}\newcommand{\noded}{\node[draw,circle] (d) {$4$}
;}\newcommand{\nodee}{\node[draw,circle] (e) {$5$}
;}\newcommand{\nodef}{\node[draw,circle] (f) {$6$}
;}\newcommand{\nodeg}{\node[draw,circle] (g) {$7$}
;}\newcommand{\nodeh}{\node[draw,circle] (h) {$8$}
;}\newcommand{\nodei}{\node[draw,circle] (i) {$9$}
;}\begin{tikzpicture}[auto]
\matrix[column sep=.3cm, row sep=.3cm,ampersand replacement=\&]{
\& \nodea \& \& \& \& \& \\
\nodeb \& \nodec \& \& \& \noded \& \& \\
\& \& \nodee \& \nodef \& \nodeg \& \nodeh \& \nodei \\
};
\path[ultra thick, red] (d) edge (e) edge (f) edge (g) edge (h) edge (i)
(a) edge (b) edge (c) edge (d);
\end{tikzpicture}}
