\documentclass{article}
\usepackage{Vaucanson-g}
\usepackage{pstricks}


\begin{document}
\LargeState

\begin{VCPicture}{(0,0)(12,10)}

    \State[X]{(1,1)}{1}
    \State[Y]{(3,5)}{2}
    \State[Z]{(5,1)}{3}
    \EdgeR{2}{1}{}
    \EdgeR{2}{3}{}
    
    \pscurve{->}(1,3.2)(3,6)(5,3)
    \pscurve{->}(5.3,3.2)(3,6.3)(0.7,3)


\end{VCPicture}

\end{document}
