his question is in algorithms GRAPH (SPANNING TREE) can you solve this please and explain how I will solve other problems like this
his question is in algorithms GRAPH (SPANNING TREE) can you solve this please and explain how I will solve other problems like this
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this question is in algorithms GRAPH (SPANNING TREE) can you solve this please and explain how I will solve other problems like this

Transcribed Image Text:## Prim's Algorithm (Minimum Spanning Tree - MST)
### Example (Ex):
The first diagram presents a weighted undirected graph. This graph consists of 7 nodes labeled from 'a' to 'g'. The edges between nodes are labeled with their respective weights. Here are the edges and their weights:
- a - b: 1
- a - c: 5
- b - c: 4
- b - d: 8
- b - e: 7
- c - d: 6
- c - f: 2
- d - e: 11
- d - f: 9
- e - f: 3
- e - g: 10
- f - g: 12
### Minimum Cost Spanning Tree (MCST):
The second diagram illustrates the resulting Minimum Cost Spanning Tree (MCST) for the given graph, obtained using Prim's Algorithm. The MCST includes:
- Nodes: a, b, c, d, e, f, g
- Edges with their respective weights:
- a - b: 1
- b - c: 4
- c - d: 6
- c - f: 2
- f - e: 3
- e - g: 10
These edges connect all the nodes with the minimum possible total weight.
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