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Graph algorithm.a. Draw a depth-first search tree based on a given graph. Assume that adjacent vertices are visited in alphabetical order. Then compute the Num and Low values for each vertex, and find out the articulation points if any.b. Construct a minimum spanning tree, using the Prim or Kruskal algorithm. Fill/update the (Known, dv, pv) or the (weight, action) table step by step.c. Find the single-source shortest paths for a vertex in a given graph. According to Dijkstra's algorithm, fill/update the (know, dv, pv) table step by step, then indicate the shortest paths according to the final table.
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