Consider the graph shown above. Which of the following are the edges in the MST of the given graph?

To provide an accurate answer, I would need to see the graph in question. However, I can guide you on how to determine the edges in the Minimum Spanning Tree (MST) using common algorithms like Kruskal's or Prim's.

Steps to Determine Edges in the MST:

1. Break Down the Problem

   • Identify all the vertices and edges in the graph.
   • List the weights of each edge.

2. Relevant Concepts

   • Use either Kruskal's or Prim's Algorithm:
     • Kruskal’s Algorithm: Sort all edges by weight. Add edges to the MST from the smallest to the largest, ensuring there are no cycles.
     • Prim’s Algorithm: Start with one vertex and grow the MST by adding the smallest edge connecting the MST to a new vertex.

3. Analysis and Detail

   • Apply the chosen algorithm step by step:
     • For Kruskal's: Check for cycles after adding each edge to the MST.
     • For Prim's: Track the edges added and the vertices connected.

4. Verify and Summarize

   • Ensure that all vertices are connected and there are no cycles in the MST.
   • Count the number of edges in the MST, which should be one less than the number of vertices.

Final Answer

Without the specific graph and its edges, I cannot list the edges of the MST directly. If you provide the edges and their weights, I can help you determine the MST edges using one of the algorithms mentioned.