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\begin{center}\textbf{Quest 1 \hspace{.7in} Graph Theory \hspace{.7in} 12/3/15} \end{center}

\noindent 20 points for getting this on the first try, 15 for the second try, 10 for the third try, and 5 for success on any try after that.

\begin{enumerate}
\item Loosely speaking, every tree has at least 2 vertices of degree 1.  Refine this statement and give a good proof.

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