Certainly! Let's analyze the question step-by-step: --- ## **Step 1: Understand the Graph** - The image shows a weighted graph with 6 nodes (A, B, C, D, E, F). - The edges are labeled with weights. - The question (from visible part) to ask for **minimum spanning tree (MST)** based on the context and typical graph questions. **Explanation:** A Minimum Spanning Tree (MST) is a subset of edges that connects all the vertices together, without any cycles, and with the minimum possible total edge weight. --- ## **Step 2: Find the MST (Using Kruskal’s Algorithm)** **List all edges with weights:** - AB = 4 - AC = 3 - AD = 2 - BC = 2 - BE = 3 - CD = 3 - CE = 2 - DE = 2 - DF = 3 - EF = 2 **Sort edges by weight (ascending):** 1. AD = 2 2. BC = 2 3. CE = 2 4. DE = 2 5. EF = 2 6. AC = 3 7. BE = 3 8. CD = 3 9. DF = 3 10. AB = 4 Now, add edges one by one, avoiding cycles, until all vertices are connected: - AD (2) - BC (2) - CE (2) - DE (2) - EF (2) Now all nodes are connected using the 5 edges above. **Explanation:** By choosing the smallest edges and avoiding cycles, we ensure the minimum total weight. --- ## **Final Answer** **The minimum spanning tree uses edges:** - AD, BC, CE, DE, EF **Total Weight = 2 + 2 + 2 + 2 + 2 = 10** --- ### **Final Answer: The minimum total weight is 10.**