

\SbSSCT{Les Matrices de n\oe uds}{Mathematicals and graphs}

 \psset{fillcolor=yellow,fillstyle=solid}

\SbSbSSCT{Création de la matrice de noeuds}{Creation of the  diagram}

\begin{center}
\begin{tabular}{|c|c|}
\hline  
\psmatrix
 A &  B \\
 C &  D\\
\endpsmatrix 
& \parbox[b]{5cm}{ 
\BSS{psmatrix} \BSI{psmatrix}{pst-node}

 A \&  B \textbackslash{}\textbackslash{} 
 
 C \&  D \textbackslash{}\textbackslash{} 
 
\BSS{endpsmatrix}  \BSI{endpsmatrix}{pst-node}}
\\ 
\hline 
\end{tabular}
\end{center} 

	

\SbSbSSCT{Les 10 types de noeuds}{10 types of nodes}


\begin{tabular}{|c|c|c|c|c|}
\hline 
\psmatrix  [mnode= R] R \\ \endpsmatrix
&
\psmatrix [mnode= r] r \\ \endpsmatrix
&
\psmatrix [mnode= C] \\ \endpsmatrix
&
\psmatrix [mnode= f]  \\ \endpsmatrix
&
\psmatrix [mnode= p] p \\ \endpsmatrix
\\\hline 
 [\RDD{mnode}{\red = R}]  R \RDI{mnode}{pst-node} & [{\red mnode= r}] r & [{\red mnode= C}]  C & [{\red mnode= f}]  f & [{\red mnode= p}]  p  \\
  
\hline 
\psmatrix  [mnode= circle] circle \\ \endpsmatrix
&
\psmatrix [mnode= oval]  oval \\ \endpsmatrix
&
\psmatrix [mnode=dia] dia \\ \endpsmatrix
&
\psmatrix  [mnode= tri]  tri   \\ \endpsmatrix
&
\psmatrix [mnode= dot] dot \\ \endpsmatrix
\\\hline
 [{\red mnode= circle}] circle  & [{\red mnode= oval}]  oval & [{\red mnode=dia}] dia & [{\red mnode= tri}]  tri & [{\red mnode= dot}] dot 
\\\hline 
\end{tabular} 

\bigskip
\begin{tabular}{|c|c|} 	\hline  
\BS{psmatrix}[\RDD{mnode}=tri] & \BS{psmatrix}[\RDD{emnode}=tri] \RDI{emnode}{pst-node}\\
A \& B \& \& D \BS{}\BS{} & A \& B \& \& D \BS{}\BS{}\\ 
  \&  \& C \& E \BS{}\BS{} &    \&  \& C \& E  \BS{}\BS{} \\
\BS{endpsmatrix} & \BS{endpsmatrix} 	\\ 
\hline 
\psmatrix[mnode=tri]
A & B & & D\\
&  & C & E\\
\endpsmatrix 
& 
\psmatrix[emnode=tri]
A & B & & D\\
&  & C & E\\
\endpsmatrix  \\ 
	\hline 
\end{tabular} 



%-----------------------------------------------------
\SbSbSSCT{Liaison des noeuds}{Connection of the nodes}

\begin{center}
\begin{tabular}{|c|}
\hline 
\psmatrix[rowsep=.2cm]
%mnode= R & mnode= r & mnode= C & mnode= f & mnode= p \\
[mnode= R]  R & [mnode= r] r &[mnode= C]  C & [mnode= f]  f & [mnode= p]  p  \\
%\hline
%mnode= circle &  mnode= oval & mnode=dia & mnode= tri & mnode= dot \\
[mnode= circle] circle  & [mnode= oval]  oval & [mnode=dia] dia & [mnode= tri]  tri & [mnode= dot] dot \\
\ncline[linecolor=red]{1,2}{2,1}
\ncline[linestyle=dotted]{1,3}{2,2}
\ncline[linestyle=dotted]{1,4}{2,3}
\ncline[linestyle=dotted]{1,5}{2,4}
%\ncline[linecolor=red]{1,6}{2,5}

\ncline[linecolor=blue]{1,1}{2,1}
\ncline[linestyle=dotted]{1,2}{2,2}
\ncline[linestyle=dotted]{1,3}{2,3}
\ncline[linestyle=dotted]{1,4}{2,4}
\ncline[linestyle=dotted]{1,5}{2,5}

\ncline[linecolor=cyan]{1,1}{2,2}
\ncline[linestyle=dotted]{1,2}{2,3}
\ncline[linestyle=dotted]{1,3}{2,4}
\ncline[linestyle=dotted]{1,4}{2,5}
\endpsmatrix
 \\ \hline 
 \parbox[b]{8cm}{ 
\BS{}ncline[linecolor=red]\AC{1,2}\AC{2,1} 

\BS{}ncline[linecolor=blue]\AC{1,1}\AC{2,1}

\BS{}ncline[linecolor=cyan]\AC{1,1}\AC{2,2} }
 \\ 
\hline 
\end{tabular} 
\end{center}



%\newpage
%--------------------------------------------------------------
\SbSbSSCT{\'Etiquettes sur les liaisons}{Labels on connections}

\begin{center}
\begin{tabular}{|c|c|c|c|}  \hline 
& & & \\
\psmatrix[rowsep=1cm]
[mnode= dot]  R & [mnode= dot] r  \\
[mnode= dot] circle  & [mnode= dot]  oval \\
\ncline[linecolor=red]{1,2}{2,1} <{\red A} 
\ncline[linecolor=blue]{1,2}{2,2}<{\blue B} 
\ncline[linecolor=green]{2,1}{2,2}<{\green C} 
\endpsmatrix
&
\psmatrix[rowsep=1cm]
[mnode= dot]  R & [mnode= dot] r  \\
[mnode= dot] circle  & [mnode= dot]  oval \\
 \ncline[linecolor=red]{1,2}{2,1}_{\red A}
 \ncline[linecolor=blue]{1,2}{2,2}_{\blue B} 
 \ncline[linecolor=green]{2,1}{2,2}_{\green C} 
\endpsmatrix
&
\psmatrix[rowsep=1cm]
[mnode= dot]  R & [mnode= dot] r  \\
[mnode= dot] circle  & [mnode= dot]  oval \\
  \ncline[linecolor=red]{1,2}{2,1}>{\red A}
  \ncline[linecolor=blue]{1,2}{2,2}>{\blue B}
  \ncline[linecolor=green]{2,1}{2,2}>{\green C} 
%\ncline[linecolor=red]{1,2}{2,1}>{C}
\endpsmatrix
&
\psmatrix[rowsep=1cm]
[mnode= dot]  R & [mnode= dot] r  \\
[mnode= dot] circle  & [mnode= dot]  oval \\
   \ncline[linecolor=red]{1,2}{2,1}^{\red A}
   \ncline[linecolor=blue]{1,2}{2,2}^{\blue B}
   \ncline[linecolor=green]{2,1}{2,2}^{\green C}
%\ncline[linecolor=red]{1,2}{2,1}^{D}
\endpsmatrix\\
\hline
\BS{}ncline\AC{1,2}\AC{2,1}<\AC{A} & \BS{}ncline\AC{1,2}\AC{2,1}\_\AC{A} & \BS{}ncline\AC{1,2}\AC{2,1}>\AC{A} & \BS{}ncline\AC{1,2}\AC{2,1}$\wedge$\AC{A}\\
\BS{}ncline\AC{1,2}\AC{2,2}<\AC{B} & \BS{}ncline\AC{1,2}\AC{2,2}\_\AC{B} & \BS{}ncline\AC{1,2}\AC{2,2}>\AC{B} & \BS{}ncline\AC{1,2}\AC{2,2}$\wedge$\AC{B}\\
\BS{}ncline\AC{2,1}\AC{2,2}<\AC{C} & \BS{}ncline\AC{2,1}\AC{2,2}\_\AC{C}& \BS{}ncline\AC{2,1}\AC{2,2}>\AC{C} & \BS{}ncline\AC{2,1}\AC{2,2}$\wedge$\AC{C}\\
\hline

\end{tabular}
\end{center}



\SbSbSSCT{Les autres paramètres}{Other parameters }


%\psset{fillcolor=green}



\begin{center}
\begin{tabular}{|c|c|}
\hline 
\multicolumn{2}{|c|}{name}\\ \hline 
\psmatrix[mnode= oval]
[name=A] A &  [name=B] B\\
 [name=C] C &  [name=D] D\\
\endpsmatrix 
\ncline[linecolor=red]{A}{D}
\pcline[linecolor=blue](B)(C)
 &
\parbox[b]{8cm}{
\BS{}psmatrix[mnode= oval] 

[{\red \RDD{name}=A}] A \&  [{\red name=B}] B \BS{}\BS{} %\textbackslash{}\textbackslash{} \\
\RDI{name}{pst-node}

[{\red name=C}] C \&  [{\red name=D}] D \textbackslash{}\textbackslash{}

\BS{}endpsmatrix  

\BS{}ncline[linecolor=red]{\red \AC{A}\AC{D}} 

\BS{}pcline[linecolor=blue]{\red (B)(C)}}
\\ \hline 
\end{tabular}                                                                              
\end{center}


%-------------------------------------------------------------------

\bigskip

\begin{center}
\begin{tabular}{|c|c|}\hline 
\multicolumn{2}{|c|}{mcol   \hspace{1cm}   {\blue \dft{}:  mcol=c } }\\ \hline 

\psmatrix[rowsep=.2cm,colsep=.2cm]
paramètres  &  Position du noeud  \\
mcol=l & [mnode= oval,mcol=l] A \\ 
 mcol=c & [mnode= oval,mcol=c] B \\ 
 mcol=r & [mnode= oval,mcol=r] C \\
\endpsmatrix
 & 
 \parbox[b]{6cm}{
 
\BS{}psmatrix[rowsep=.2cm,colsep=.2cm]

paramètres  \&  Position du noeud   \textbackslash{}\textbackslash{}

mcol=l \& [mnode= oval,\RDD{mcol}{\red =l}] A \textbackslash{}\textbackslash{}  \RDI{mcol}{pst-node}

mcol=c \& [mnode= oval,{\red mcol=c}] B \textbackslash{}\textbackslash{} 

mcol=r \& [mnode= oval,{\red mcol=r}] C \textbackslash{}\textbackslash{} 

\BS{}endpsmatrix }  \\ \hline 
\end{tabular} 
\end{center}

%=========================================================

\bigskip


\begin{center}
\begin{tabular}{|c|}
\hline  
\multicolumn{1}{|c|}{radius  }\\ \hline 
\psmatrix
[mnode=C] A &  [mnode=C, radius=1cm] B
\endpsmatrix 
\\  \hline 
\BS{}psmatrix

 [mnode=C]  \& [mnode=C, \RDD{radius}{\red =1cm}] \RDI{radius}{pst-node}

\BS{}endpsmatrix 
\\ 
\hline 
\end{tabular} 
\end{center}



%-------------------------------------------------------------------------
 \bigskip

\begin{center}
\begin{tabular}{|c|}
\hline
\multicolumn{1}{|c|}{mnodesize \hspace{1cm} {\blue \dft{} : mnodesize= -1pt } }
\\ \hline 
\psmatrix[mnode=oval,rowsep=.2cm,colsep=.2cm]
 A & B & [mnodesize=4cm]  C & D & E\\
\endpsmatrix 
\\ \hline  
\parbox[b]{10cm}{
\BS{}psmatrix[mnode=oval,rowsep=.2cm,colsep=.2cm] 

 A \& B \& [ \RDD{mnodesize}{\red =4cm}]  C \& D \& E 
 \RDI{mnodesize}{pst-node}
 
\BS{}endpsmatrix }
\\ 
\hline 
\end{tabular} 
\end{center}

%-------------------------------------------------------------
 \bigskip


\begin{center}
\begin{tabular}{|c|}
\hline
colsep   \hspace{1cm}   {\blue \dft{} :  colsep= 1.5cm}
\\ \hline  
\psmatrix[mnode=oval]
A & [colsep=0cm] B & [colsep=4cm]  C & D & E\\
\endpsmatrix 
\\ \hline  
A \& [ \RDD{colsep}{\red =0cm}] B \& [{\red colsep=4cm}]  C \& D \& E  \textbackslash{}\textbackslash{} \RDI{colsep}{pst-node}
\\ 
\hline 
\end{tabular}
\end{center} 


%-------------------------------------------------------

 \bigskip

\begin{center}
\begin{tabular}{|c|c|c|}
\hline 
\multicolumn{3}{|c|}{rowsep \hspace{.5cm} {\blue \dft{}  : rowsep=  1.5cm } }
\\ \hline
\psmatrix[mnode=oval] 
A \\
B \\
C \\
\endpsmatrix 
&   
\psmatrix[mnode=oval,rowsep=0cm] 
A \\
B \\
C \\
\endpsmatrix 
& 
\psmatrix[mnode=oval,rowsep=1cm] 
A \\
B \\
C \\
\endpsmatrix
\\ 
\hline 
 \RDD{rowsep}{\red =0cm} \RDI{rowsep}{pst-node}
 &  
{\red rowsep=1cm} 
 &
\dft{} 
 \\ 
\hline 
\end{tabular} 
\end{center}

%-------------------------------------------------------
 \bigskip
 
\begin{center}
\begin{tabular}{|c|c|}
\hline  
\multicolumn{2}{|c|}{\BSS{psspan} \BSI{pspan}{pst-node} }\\ \hline 
\psmatrix[mnode=oval,rowsep=.2cm,colsep=.2cm]
A &  B &  C & D & E\\
A &  B &   C  \psspan{2} & D\\
\endpsmatrix 
&  
\parbox[b]{6cm}{
A \&  B \&  C \& D \& E \BS{} \BS{}

A \&  B \&   C  {\red \BS{}psspan\AC{2}} \& D \BS{} \BS{} }
\\ 

\hline 
\end{tabular} 
\end{center}


 
 \psset{fillcolor=yellow}


