Consider the following
\documentclass[tikz]{standalone}
\begin{document}
\begin{tikzpicture}
\node{A} [grow=east]
child {node{B}
child {node{C}}};
\end{tikzpicture}
\end{document}
which gives

How can I coerce each edge to have arrow heads so that I can have something like A->B->C?
(Let's assume the style [->,>=stealth].)
