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	{\Large\bf Graph coloring}\\
	{\bf Lecture notes, vol. \LECTURENUMBER, \LECTURETITLE}\\
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Lecturer: Michal Adamaszek \hfill Scribe: \LECTURESCRIBE
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Today we defined a new object:
\begin{definition}
A \emph{stupid graph} is a graph without any edges.
\end{definition}

It has really nice properties.
\begin{theorem}[Erd\"os, Attiyah, Tao]
If $G$ is a stupid graph with $n$ vertices, then its chromatic polynomial is $P_G(t)=t^n$.
\end{theorem}
\begin{proof}
The proof is rather complicated. See \cite{west}, Chapter 5.
\end{proof}



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\bibitem{west} West, \textit{Introduction to graph theory}

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