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

Problem 1: (25 points)Let G-(V.E) 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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