1. **Problem Statement:** Determine if the two given undirected graphs (a) G and (b) H are isomorphic. 2. **Definition:** Two graphs are isomorphic if there is a one-to-one correspondence between their vertex sets that preserves adjacency. 3. **Step 1: Compare number of vertices and edges.** - Graph G has 8 vertices. - Graph H has 7 vertices. 4. **Step 2: Check vertex count equality.** - Since the number of vertices differs (8 vs 7), the graphs cannot be isomorphic. 5. **Conclusion:** - Because isomorphic graphs must have the same number of vertices, graphs G and H are **not isomorphic**. This conclusion is reached without needing to check edges or adjacency further because vertex count mismatch alone disproves isomorphism.