%
% Computing and Data Science 
% Belmont High School 
% Problem Set Template. 
% Copy and paste this into your favorite Tex editor. 
%
\documentclass{article}
\usepackage[margin=1in]{geometry}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsfonts}
\usepackage{tikz}

\pagenumbering{gobble}

\begin{document}

% Header 
\noindent \textbf{\Large Graph Theory} \hfill \textbf{YOUR NAME} \\  % REPLACE WITH YOUR NAME
\emph{Computing and Data Science} \hfill \today \hrule \vspace{1cm}

% Exercise solutions
\begin{enumerate}

    \item Below is a sample graph. In the code, notice that you can add a vertex at any position \((x,y)\) with the \texttt{node} command, and draw an edge between vertices with the \texttt{draw} command. 

    \begin{verbatim}
\begin{tikzpicture}[every node/.style={circle, draw, fill=black, inner sep=2pt}]
    \node[label= left:$a$] (a) at (1,2) {};
    \node[label= left:$b$] (b) at (0,0) {};
    \node[label=right:$c$] (c) at (3,0) {};
    \node[label=right:$d$] (d) at (4,2) {};

    \draw[thick] (a) -- (b); 
    \draw[thick] (a) -- (c); 
    \draw[thick] (c) -- (d); 
    \draw[thick] (a) -- (d); 
\end{tikzpicture}
    \end{verbatim}

    \begin{tikzpicture}[every node/.style={circle, draw, fill=black, inner sep=2pt}]
        \node[label= left:$a$] (a) at (1,2) {};
	\node[label= left:$b$] (b) at (0,0) {};
	\node[label=below:$c$] (c) at (3,0) {};
	\node[label=above:$d$] (d) at (4,2) {};

	\draw[thick] (a) -- (b); 
	\draw[thick] (a) -- (c); 
	\draw[thick] (c) -- (d); 
	\draw[thick] (a) -- (d); 
\end{tikzpicture}

    \item Second problem
        \begin{enumerate}
            \item First part 
            \item Second part
        \end{enumerate}
    
\end{enumerate}

\end{document}