3. Use Prim's Algorithm to find the minimum weight spanning tree. Make sure to list the weights in order.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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**Instructions:**

3. Use Prim’s Algorithm to find the minimum weight spanning tree. Make sure to list the weights in order.

**Graph Description:**

The diagram is a weighted undirected graph with six vertices and ten edges. The edges are labeled with weights:

- **Top-left to Top-right:** Weight 3
- **Top-left to Center-left:** Weight 5
- **Center-left to Bottom-left:** Weight 2
- **Top-left to Center:** Weight 2
- **Top-right to Center:** Weight 4
- **Center to Bottom-right:** Weight 6
- **Center-left to Center:** Weight 3
- **Center-left to Bottom-right:** Weight 5
- **Top-right to Bottom-right:** Weight 10
- **Bottom-left to Bottom-right:** Weight 15

To solve using Prim's Algorithm, start at any vertex, choose the smallest weight edge, and continue adding the smallest weight edge until all vertices are included, ensuring no cycles are formed.
Transcribed Image Text:**Instructions:** 3. Use Prim’s Algorithm to find the minimum weight spanning tree. Make sure to list the weights in order. **Graph Description:** The diagram is a weighted undirected graph with six vertices and ten edges. The edges are labeled with weights: - **Top-left to Top-right:** Weight 3 - **Top-left to Center-left:** Weight 5 - **Center-left to Bottom-left:** Weight 2 - **Top-left to Center:** Weight 2 - **Top-right to Center:** Weight 4 - **Center to Bottom-right:** Weight 6 - **Center-left to Center:** Weight 3 - **Center-left to Bottom-right:** Weight 5 - **Top-right to Bottom-right:** Weight 10 - **Bottom-left to Bottom-right:** Weight 15 To solve using Prim's Algorithm, start at any vertex, choose the smallest weight edge, and continue adding the smallest weight edge until all vertices are included, ensuring no cycles are formed.
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