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1. (Similar to Exercise 5.2 Question 19 on page 251) Starting from A, use Prim's algorithm to find a minimal spanning tree for the weighted graph.

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1. (Similar to Exercise 5.2 Question 19 on page 251) Starting from A, use Prim’s algorithm to find a minimal spanning tree for the weighted graph. What is the total weight of the minimal spanning tree found? To obtain the full credit, you must also show the edges that form the minimal spanning tree. See the weekly Supplement for an example. 2. (Similar to Exercise 5.3 Question 3 on page 263) Given the following graph, starting vertex A, use the depth-first search algorithm to obtain a depth-first search numbering of the vertices. If there is a choice of vertices, choose the vertex that appears first in alphabetical order. 3. (Similar to Exercise 5.5 Questions 17, 23, and 29 on page 285 and page 286) Given the following binary tree, give the preorder, inorder, and postorder listing of vertices.
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