Question: Data Structures/Automata/Graph Theory Question: a. Suppose we need to find the maximum spanning tree (MST) of a weighted undirected graph using either Kruskal's algorithm or

Data Structures/Automata/Graph Theory Question:

a. Suppose we need to find the maximum spanning tree (MST) of a weighted undirected graph using either Kruskal's algorithm or Prim's algorithm. Which algorithm would you choose if the graph has 1,000 vertices and 5375 edges? Explain your answer. b. Using either Prim's or Kruskal's algorithm find a MST for the graph shown in Figure 2. You must show your work, e.g., if you decide to use Kruskal's algorithm you must shovw the list of selected edges. The MST edges must be red. 15 14 10 17 16 Figure 2

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