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List a cycle containing A:
Note a cycle should be written in the format A-B-C-A indicating following the edge from A to B then the edge from B to C and finally the edge from C back to A. This is not auto graded.

To identify a cycle containing vertex \( A \) in this graph, we look for a path that begins and ends at \( A \) while passing through at least two other distinct vertices.

One possible cycle containing \( A \) is:
\[
A - B - C - D - A
\]

This cycle goes from \( A \) to \( B \), then \( B \) to \( C \), \( C \) to \( D \), and finally returns to \( A \).

If you have any further questions or need additional cycles, feel free to ask!

### Related Questions
1. Can you list a different cycle that includes vertex \( A \)?
2. How many distinct cycles are there in this graph?
3. What is the degree of vertex \( A \) in this graph?
4. Can you identify a cycle that contains vertex \( E \)?
5. Is this graph connected, meaning there is a path between any two vertices?

**Tip:** When looking for cycles in a graph, start at a vertex and trace paths that return to the starting point without revisiting edges.

List a cycle containing A: Note a cycle should be written in the format A-B-C-A indicating following the edge from A to B then the edge from B to C and finally the edge from C back to A.

Discover how to identify a cycle in a graph that includes a specific vertex, A. This example provides a step-by-step solution for finding a cycle in a graph, covering key graph theory concepts suitable for high school students in Grades 9-12.

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