Question: Use Graph (A) and multigraphs (B, C, D), and (E) given in Figure 12.129 to answer the questions. 1. Which of the multigraphs are not

Use Graph \(A\) and multigraphs \(B, C, D\), and \(E\) given in Figure 12.129 to answer the questions.

a H a FM G H d K N a a a

1. Which of the multigraphs are not eulerizations of Graph \(A\) ? Explain your answer.
2. Which eulerization of Graph \(A\) uses the fewest duplicate edges? How many does it use?
3. Is it possible to eulerize Graph \(A\) using fewer duplicate edges than your answer to part 2? If so, give an example. If not, explain why not.

a H a FM G H d K N a a a H H H FM G F/GR F e Multigraph D Multigraph E e Graph A e Multigraph B e Multigraph C e Figure 12.129 Graph A and Multigraphs B through E

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