OCR FD1 AS 2017 Specimen — Question 4

Exam BoardOCR
ModuleFD1 AS (Further Decision 1 AS)
Year2017
SessionSpecimen
TopicGraph Theory Fundamentals

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]{da50ab63-a6f5-4533-ba6d-f9941b71038f-03_602_611_360_280} \captionsetup{labelformat=empty} \caption{Graph 1}
\end{figure} \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{da50ab63-a6f5-4533-ba6d-f9941b71038f-03_420_499_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.
This paper (2 questions)
View full paper