Explain why the graph shown in Fig. 32 has no Hamilton circuit but does have a Hamilton

Chapter 6, Problem 16

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QUESTION:

Explain why the graph shown in Fig. 32 has no Hamilton circuit but does have a Hamilton path. F E G B C A D FIgurE 32

Questions & Answers

QUESTION:

Explain why the graph shown in Fig. 32 has no Hamilton circuit but does have a Hamilton path. F E G B C A D FIgurE 32

ANSWER:

Step 1 of 2

The graph is given below,

For the Hamilton circuit, there must be two edges incident on each vertex in the path. So, as we see from the graph on the F and G there is only one edge that is incident.

Thus, the given graph has no Hamilton circuit.

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