Here are the answers to the questions in the image:

[1-7]

1. Trail (단순 경로, simple path)
2. Cycle (단순 순환, simple circuit)
3. Bridge (단절선, cut edge)
4. Rooted Tree (뿌리 트리)
5. Full Tree (포화 트리)
6. Ordered Tree (순서 트리)
7. Depth (깊이, level of a vertex)

[8-15] 8. Eulerian Circuit 조건: A connected multigraph has an Eulerian circuit if and only if all vertices have even degrees. 9. Hamiltonian Path/Circuit for the given graph:

• A Hamiltonian path exists if there is a path visiting each vertex exactly once.
• Checking for a Hamiltonian circuit: No Hamiltonian circuit is present for the given graph because it does not satisfy the necessary conditions of connectivity and degree constraints for all vertices.