To identify a cycle in this graph that includes point $A$, I will analyze the connections visible in the diagram.

Here is one possible cycle:

A - B - C - D - A

This cycle starts at $A$, follows the edge to $B$, then moves from $B$ to $C$, from $C$ to $D$, and finally returns to $A$.

Let me know if you'd like a more in-depth exploration of cycles in this graph or further explanations.

Related Questions

1. Can you identify another cycle that includes vertex $A$?
2. What is the length of the longest cycle that includes $A$?
3. Are there any cycles in this graph that do not include $A$?
4. How many cycles of length 4 or less are present in this graph?
5. Is this graph Eulerian or Hamiltonian?

Tip:

When analyzing cycles, remember that each cycle must return to its starting point without retracing any edge within the cycle itself.