1.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{43bc1e60-d8b2-4ea5-9652-4603a26c2f78-02_606_670_260_699}
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\caption{Figure 1}
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A Hamiltonian cycle for the graph in Figure 1 begins \(\mathrm { C } , \mathrm { V } , \mathrm { E } , \mathrm { X } , \mathrm { A } , \mathrm { W } , \ldots\).
- Complete the Hamiltonian cycle.
- Hence use the planarity algorithm to determine whether the graph shown in Figure 1 is planar. You must make your working clear and justify your answer.