Question: 2) Do the following for the graph below. a) [8 pts.] Using the depth-first search algorithm, find a spanning tree in the graph. Start at

2) Do the following for the graph below. a) [8 pts.] Using the depth-first search algorithm, find a spanning tree in the graph. Start at vertex q and follow the convention above. Write the order in which the vertices are visited. Indicate the backtracking with arrows on the graph. Draw the spanning tree as a rooted tree with root g. b) [8 pts.] Do the same using the breadth-first search algorithm. c) [2 pts.] What are the heights of the trees obtained in parts a) and b)? d) [2 pts.] Which tree, if any, is balanced? Explain your

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