\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage{tikz}

\begin{document}
\begin{tikzpicture}
    \tikzstyle{point}=[circle,thick,draw=black,fill=black,inner sep=0pt,minimum width=4pt,minimum height=4pt]
    \node (a)[point] at (0,0) {};
    \node (b)[point] at (1,0) {};
    \path (a.center) edge [bend left]  (b.center);
    \path (a.center) edge              (b.center);
    \path (a.center) edge [bend right] (b.center);
\end{tikzpicture}
\end{document}