List the order in which Depth First Search (DFS) would visit the vertices in the graph shown below if the DFS is started at vertex A. Break ties alphabetically. Give your answer as a comma separated list of vertices such as A, B, C, etc. 2 A B 3 9. 4 G 3 F I H 2 C 5 4 8 2 E D 1

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### Depth First Search (DFS) Order of Visit

**Problem Statement:**
List the order in which Depth First Search (DFS) would visit the vertices in the graph shown below if the DFS is started at vertex A. Break ties alphabetically. Give your answer as a comma-separated list of vertices such as A, B, C, etc.

**Graph Description:**
The given graph is undirected and consists of several vertices connected by edges with weights. The vertices are labeled alphabetically as A, B, C, D, E, F, G, H, and I. The edges between the vertices have varying weights, but these weights do not affect the DFS traversal order. 

### Graph Structure:

- **Vertices & Edges:**
  - A is connected to B (2), G (3), and F (7).
  - B is connected to G (6) and C (4).
  - C is connected to H (8) and D (2).
  - D is connected to E (1).
  - E is connected to I (2).
  - F is connected to I (5).
  - G is connected to H (4).
  - H is connected to I (4).

### Graph Diagram:

```
    A---(2)---B
    |\      / |
    | (3) (6) |
    |  G---- 4-C
    |  | \    |
   (7) | (4) (8)
    |  |   \  |
    F--5--I--4-H
    |    /  \  |
   (6) (2) (4) |
    |   /    \ |
    E----(1)---D
```

### DFS Traversal:

**Traversal Order from Vertex A:**
Using Depth First Search (DFS) starting at vertex A and breaking alphabetical ties:

1. Start at vertex **A**.
2. Visit **B** first (tie between B, F, G; B comes first alphabetically).
3. From B, visit **C** (tie between C, G; C comes first).
4. From C, visit **D** (only unvisited neighbor).
5. From D, visit **E** (only unvisited neighbor).
6. From E, visit **I** (only unvisited neighbor).
7. From I, visit **F** (tie between F,
Transcribed Image Text:### Depth First Search (DFS) Order of Visit **Problem Statement:** List the order in which Depth First Search (DFS) would visit the vertices in the graph shown below if the DFS is started at vertex A. Break ties alphabetically. Give your answer as a comma-separated list of vertices such as A, B, C, etc. **Graph Description:** The given graph is undirected and consists of several vertices connected by edges with weights. The vertices are labeled alphabetically as A, B, C, D, E, F, G, H, and I. The edges between the vertices have varying weights, but these weights do not affect the DFS traversal order. ### Graph Structure: - **Vertices & Edges:** - A is connected to B (2), G (3), and F (7). - B is connected to G (6) and C (4). - C is connected to H (8) and D (2). - D is connected to E (1). - E is connected to I (2). - F is connected to I (5). - G is connected to H (4). - H is connected to I (4). ### Graph Diagram: ``` A---(2)---B |\ / | | (3) (6) | | G---- 4-C | | \ | (7) | (4) (8) | | \ | F--5--I--4-H | / \ | (6) (2) (4) | | / \ | E----(1)---D ``` ### DFS Traversal: **Traversal Order from Vertex A:** Using Depth First Search (DFS) starting at vertex A and breaking alphabetical ties: 1. Start at vertex **A**. 2. Visit **B** first (tie between B, F, G; B comes first alphabetically). 3. From B, visit **C** (tie between C, G; C comes first). 4. From C, visit **D** (only unvisited neighbor). 5. From D, visit **E** (only unvisited neighbor). 6. From E, visit **I** (only unvisited neighbor). 7. From I, visit **F** (tie between F,
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