Edexcel FD1 Specimen — Question 2

Exam BoardEdexcel
ModuleFD1 (Further Decision 1)
SessionSpecimen
TopicGraph Theory Fundamentals

2. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{37435cc9-1e38-4c55-bd72-e2a1ec415ba7-03_570_663_175_701} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure}
  1. Define what is meant by a planar graph.
  2. Starting at A, find a Hamiltonian cycle for the graph in Figure 1. Arc AG is added to Figure 1 to create the graph shown in Figure 2. \begin{figure}[h]
    \includegraphics[alt={},max width=\textwidth]{37435cc9-1e38-4c55-bd72-e2a1ec415ba7-03_568_666_1226_701} \captionsetup{labelformat=empty} \caption{Figure 2}
    \end{figure} Taking ABCDEFGA as the Hamiltonian cycle,
  3. use the planarity algorithm to determine whether the graph shown in Figure 2 is planar. You must make your working clear and justify your answer.