Edexcel D1 2007 January — Question 3

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2007
SessionJanuary
TopicGraph Theory Fundamentals

3. \begin{figure}[h]
\captionsetup{labelformat=empty} \caption{Figure 3} \includegraphics[alt={},max width=\textwidth]{6a0cf9b1-e6a0-4c38-a2d9-deb9c0c76015-04_424_586_269_760}
\end{figure}
  1. Write down the name given to the type of graph drawn in Figure 3. A Hamiltonian cycle for the graph in Figure 3 begins \(\mathrm { A } , 3 , \mathrm {~B} , \ldots\).
  2. Complete this Hamiltonian cycle.
  3. Starting with the Hamiltonian cycle found in (b), use the planarity algorithm to determine if the graph is planar.