Use Prim's algorithm to compute the minimum spanning tree for the weighted graph. Start the algorithm at vertex A. Explain and justify each step as you add an edge to the tree.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Use Prim's algorithm to compute the mininmum spanning tree for the weighted graph. Start the
algorithm at vertex A. Explain and justify each step as you add an edge to the tree.
A
E
6
4
7
D
3
Figure 10: A weighted graph shous 5 vertices, represented by circles, and 6 cdges, represented by
line segments. Vertices A, B. C, and D are placed at the corners of a rectangle, whereas eerter E is at
the center of the rectangle. The edges, A B, B D, A C, CD, A E, and E C, have the weights, 7, 3, 2,
4.5, and 6, respectively.
B.
Transcribed Image Text:scoopedgar:0 wo.tex - TeXstudio art label tiny 13 of 14 Use Prim's algorithm to compute the mininmum spanning tree for the weighted graph. Start the algorithm at vertex A. Explain and justify each step as you add an edge to the tree. A E 6 4 7 D 3 Figure 10: A weighted graph shous 5 vertices, represented by circles, and 6 cdges, represented by line segments. Vertices A, B. C, and D are placed at the corners of a rectangle, whereas eerter E is at the center of the rectangle. The edges, A B, B D, A C, CD, A E, and E C, have the weights, 7, 3, 2, 4.5, and 6, respectively. B.
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