Suppose G, B, D, C, A, F, E, G is a Hamilton circuit in a graph. (a) Find the number of

Chapter 6, Problem 8

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QUESTION:

Suppose G, B, D, C, A, F, E, G is a Hamilton circuit in a graph. (a) Find the number of vertices in the graph. (b) Write the Hamilton circuit using F as the starting/ ending vertex. (c) Find two different Hamilton paths in the graph that start at F.

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QUESTION:

Suppose G, B, D, C, A, F, E, G is a Hamilton circuit in a graph. (a) Find the number of vertices in the graph. (b) Write the Hamilton circuit using F as the starting/ ending vertex. (c) Find two different Hamilton paths in the graph that start at F.

ANSWER:

Step 1 of 3

Suppose G, B, D, C, A, F, E, G is a Hamilton circuit in a graph.

To find the number of vertices in the graph.

A path that visits all the vertices of a connected graph once and only once is known as the Hamiltonian path.

The given circuit starts from G and it visits all the vertices. So, there are 7 vertices in the graph. These vertices are A, B, C, D, E, F and G.

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