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In Java w/ comments please Please draw step-by-step, through diagrams Let G be an undirected graph whose vertices are the integers 1 through 8, and

In Java w/ comments please

Please draw step-by-step, through diagrams

Let G be an undirected graph whose vertices are the integers 1 through 8, and let the adjacent vertices of each vertex be given by the table below:

vertex adjacent vertices

1 (2, 3, 4)

2 (1, 3, 4)

3 (1, 2, 4)

4 (1, 2, 3, 6)

5 (6, 7, 8)

6 (4, 5, 7)

7 (5, 6, 8)

8 (5, 7)

Assume that, in a traversal of G, the adjacent vertices of a given vertex are returned in the same order as they are listed in the table above.

a. Draw G.

b. Give the sequence of vertices of G visited using a DFS traversal starting at vertex 1.

c. Give the sequence of vertices visited using a BFS traversal starting at vertex 1.

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