1. The problem is to examine two graphs G and H to determine if they have the same vertices. 2. To check if two graphs have the same vertices, list all vertices of each graph. 3. Compare the lists to see if every vertex in G is also in H and vice versa. 4. If the sets of vertices are identical, then G and H have the same vertices. 5. Without the explicit vertex lists or graphs provided, we cannot definitively conclude here. 6. Please provide the vertex sets or adjacency lists of G and H for precise comparison.