The problem asks to find the edges in the minimum spanning tree (MST) of the given graph. To solve this, I will apply Kruskal's algorithm or Prim's algorithm to identify the MST.

Steps for Kruskal’s Algorithm:

1. Sort all edges by increasing weight.
2. Start adding the edges to the MST, ensuring no cycles are formed.
3. Continue until all vertices are connected.

The edges, sorted by weight:

1. $(i, h) = 1$
2. $(d, f) = 1$
3. $(h, f) = 3$
4. $(e, f) = 4$
5. $(a, e) = 5$
6. $(b, e) = 6$
7. $(d, g) = 7$
8. $(c, g) = 8$
9. $(g, h) = 10$
10. $(e, g) = 11$
11. $(a, b) = 12$
12. $(f, c) = 13$

Now, starting with the smallest edge and adding it step by step:

1. Add $(i, h)$ with weight 1.
2. Add $(d, f)$ with weight 1.
3. Add $(h, f)$ with weight 3.
4. Add $(e, f)$ with weight 4.
5. Add $(a, e)$ with weight 5.
6. Add $(b, e)$ with weight 6.
7. Add $(d, g)$ with weight 7.

At this point, all vertices are connected and the tree is complete. The total weight is minimized.

Edges in the MST:

• $(i, h)$
• $(d, f)$
• $(h, f)$
• $(e, f)$
• $(a, e)$
• $(b, e)$
• $(d, g)$

The correct answer is Option B.

Would you like a detailed explanation of any of these steps?

Here are some related questions you might find useful:

1. What is Prim's algorithm, and how does it compare to Kruskal's?
2. How do you check if adding an edge forms a cycle in a graph?
3. What are other real-world applications of Minimum Spanning Trees?
4. How do you implement Kruskal’s algorithm programmatically?
5. What is the time complexity of Kruskal's and Prim's algorithms?

Tip: When solving graph problems, always visualize the connections between vertices and ensure no cycles are formed when constructing a tree.