Hello! I'd be happy to help with your questions regarding the graph.
1. To determine the number of vertices in the graph, we need to count each distinct point or node. In the given graph, the vertices are labeled as A, B, C, D, E, and F. Therefore, there are 6 vertices in total.
2. The number of edges in a graph is determined by counting the number of connections between the vertices. In the given graph, there are 7 edges.
3. The vertices that are adjacent to vertex A are B, C, and D. These vertices share an edge with vertex A.
4. A path from vertex B to vertex F could be: B -> A -> C -> E -> F.
5. The shortest path from vertex B to vertex F is: B -> A -> D -> F, with a total of three edges.
6. Depth First Search (DFS) traversal...