Question: Problem 1 : ( 2 5 points ) Let G - ( V . E ) be the following graph: V = ( 1 ,

Problem

1

(25

points

)

Let G

- (

.

)

be the following graph: V

= (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

and E

= (1, 2, (2, 3), (3, 4), (4, 5), (1, 6), (62), (2, 7), 7, 3), 2, 8), (8, 3), (3, 9), 9, 4, 4, 10), (4, 11), (10, 11), (4, 12), (12, 5)

;

.

Note: In the BFS and DFS below, break ties by always visiting the smallest unvisited neighbor first.a

)

Perform BFS on G from node

1,

showing the BFS tree.b

)

Perform DFS on G from node

1,

showing the tree and backward edges, compute the L and DFN of every node, identify the articulations points, and indicate the reason why those nodes are articulation points.

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