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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

## 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.
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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