OCR Further Discrete AS Specimen — Question 4

Exam BoardOCR
ModuleFurther Discrete AS (Further Discrete AS)
SessionSpecimen
TopicGroups

4 Two graphs are shown below. Each has exactly five vertices with vertex orders 2, 3, 3, 4, 4 . \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{a6800c9f-583b-493a-906c-015df63b842f-3_605_616_360_278} \captionsetup{labelformat=empty} \caption{Graph 1}
\end{figure} \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{a6800c9f-583b-493a-906c-015df63b842f-3_420_501_497_1169} \captionsetup{labelformat=empty} \caption{Graph 2}
\end{figure}
  1. Write down a semi-Eulerian route for graph 1 .
  2. Explain how the vertex orders show that graph 2 is also semi-Eulerian.
  3. By referring to specific vertices, explain how you know that these graphs are not simple.
  4. By referring to specific vertices, explain how you know that these graphs are not isomorphic.