documentclass[hyperref={pdfpagelabels=false}]{beamer}
usepackage{lmodern}

usepackage[utf8]{inputenc}
usepackage[ngerman]{babel}
usepackage[T1]{fontenc}
usepackage{verbatim}
usepackage{tikz}
usetikzlibrary{arrows,shapes}

tikzstyle{vertex}=[circle,fill=black!25,minimum size=15pt,inner sep=0pt]
tikzstyle{selected vertex} = [vertex, fill=red!24]
tikzstyle{blue vertex} = [vertex, fill=blue!24]
tikzstyle{edge} = [draw,thick,-]
tikzstyle{weight} = [font=big]
tikzstyle{selected edge} = [draw,line width=5pt,-,red!50]
tikzstyle{ignored edge} = [draw,line width=5pt,-,black!20]

usefonttheme{professionalfonts}
beamertemplatenavigationsymbolsempty
setbeamertemplate{navigation symbols}{}%

begin{document}
pgfdeclarelayer{background}
pgfsetlayers{background,main}
def n {10}
def a {1}
def b {2}
def c {3}
def d {4}
def e {5}
def f {6}
def g {7}
def h {8}
def i {9}
def j {10}

begin{frame}
    begin{figure}
        begin{tikzpicture}[->,scale=1.8, auto,swap]

            foreach pos/name/z in {{(0,0)/a/a}, {(1,-1)/b/b}, {(1.5,-2)/c/c},
                                    {(1.3,-2.5)/d/d}, {(0.6,-2.5)/e/e}, {(2,-2.66)/f/f},
                                    {(1.3,-3.5)/g/g},{(0.6,-3.5)/h/h},{(2,-3.33)/i/i},
                                    {(1.9,-1.3)/j/j}}
                node[vertex] (name) at pos {z};


            foreach source/ dest /pos in {a/b/bend right, b/c/bend left, c/d/, d/e/bend right,
                                             d/f/bend left, e/h/bend right, f/i/bend right, h/g/bend right,                                                  i/g/bend left, c/j/bend right, c/j/bend left}
                path (source) edge [pos] node {} (dest);
           %there must be an animation

        end{tikzpicture}
    end{figure}
end{frame}
end{document}