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### Prim's Algorithm – Minimum Spanning Tree Consider a graph (not shown in your prompt), but to apply Prim’s Algorithm, the procedure is: 1. Choose any vertex as the starting vertex. 2. Select the edge with the minimum weight that connects a vertex in the MST to a vertex outside the MST. 3. Repeat until all vertices are included in the MST. Sample Example (to illustrate): Let’s assume a weighted graph with vertices: A, B, C, D, E And weighted edges: * A–B: 2 * A–C: 3 * B–C: 1 * B–D: 4 * C–D: 5 * C–E: 6 * D–E: 7 Prim's Algorithm Steps: 1. Start from vertex A. 2. Minimum edge from A is A–B (weight 2) → Add B to MST. 3. From A and B, pick minimum edge: B–C (1) → Add C to MST. 4. From A, B, C → B–D (4) → Add D to MST. 5. From A, B, C, D → C–E (6) → Add E to MST. Minimum Spanning Tree (MST) Edges: A–B (2), B–C (1), B–D (4), C–E (6) Total Weight: 13 > (Apply this method to the actual graph you have.) --- ### Sorting Algorithms Given List: __________ ____ ___ _______ ________.
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