Here is a graphical representation of the same edge-weighted graph: (A) -8- (B) (C)----- 16---(D)------11----(E) 13 10 (F) (G) Give the sequence of edges in the MST in the order that Prim's algorithm adds them to the MST, when starting Prim's algorithm from vertex H. To specify an edge, use its weight.
Here is a graphical representation of the same edge-weighted graph: (A) -8- (B) (C)----- 16---(D)------11----(E) 13 10 (F) (G) Give the sequence of edges in the MST in the order that Prim's algorithm adds them to the MST, when starting Prim's algorithm from vertex H. To specify an edge, use its weight.
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Question

Transcribed Image Text:### Edge-Weighted Graph
Consider the following edge-weighted graph with 10 vertices and 17 edges.
| V-w | Weight |
|-----|--------|
| A-B | 8 |
| F-A | 6 |
| G-B | 15 |
| B-F | 5 |
| C-B | 3 |
| D-C | 16 |
| C-G | 12 |
| C-I | 7 |
| D-I | 4 |
| J-E | 17 |
| J-I | 2 |
| J-F | 14 |
| I-E | 10 |
| J-H | 13 |
| G-F | 9 |
| I-H | 1 |
| I-J | 2 |
### Graphical Representation
Here is a graphical representation of the same edge-weighted graph:
```
(A)---8---(B)---3---(C)---16---(D)---11---(E)
| | / | | \ |
6 5 12 7 10 17 13
| | / | / |
(F)---9---(G)---14---(H)---1---(I)---2---(J)
```
### Instructions
Give the sequence of edges in the Minimum Spanning Tree (MST) in the order that Prim's algorithm adds them, starting from vertex H. Specify an edge using its weight.
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