Here's a visual representation covering each question from your prompt, including definitions, applications, planar and non-planar graphs, a regular graph, incidence matrix, and adjacency list. Let me know if you need further details on any specific part.

Would you like more detailed explanations for any section, or have specific questions?

Here are 5 related questions to deepen your understanding:

1. How are regular graphs applied in fields beyond information technology?
2. What are the key differences in real-world applications of planar and non-planar graphs?
3. How can we determine if a complex graph is planar or non-planar?
4. Can an incidence matrix be used to find shortest paths in a network? Why or why not?
5. How does an adjacency list differ in efficiency from an adjacency matrix for sparse graphs?

Tip: In large, complex networks, using adjacency lists can save memory compared to adjacency matrices, especially for sparse graphs with fewer edges.