For the graph shown in Fig. 30, (a) find a Hamilton path that starts at B. (b) find a

Chapter 6, Problem 14

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QUESTION:

For the graph shown in Fig. 30, (a) find a Hamilton path that starts at B. (b) find a Hamilton path that starts at E. (c) explain why the graph has no Hamilton path that starts at A or at C. (d) explain why the graph has no Hamilton circuit. FIgurE 30 A B GH F C E D

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QUESTION:

For the graph shown in Fig. 30, (a) find a Hamilton path that starts at B. (b) find a Hamilton path that starts at E. (c) explain why the graph has no Hamilton path that starts at A or at C. (d) explain why the graph has no Hamilton circuit. FIgurE 30 A B GH F C E D

ANSWER:

Step 1 of 4

Finding the Hamilton path that starts at B:

First start with the edge BC, then D, then E, and then A. After completing at A, only three more vertices to span that is HGF.

So, after A we move to H, then G, and then F.

Thus, the Hamiltonian path is BCDEAHGF.

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