Here is the visual representation of the complete bipartite graph $K_{3,5}$. As you can see, there are two distinct sets of vertices, with each vertex in the first set connected to all vertices in the second set, ensuring the graph is not regular.

Do you have any questions or would you like more details?

Here are 5 related questions you might find interesting:

1. What are the properties of complete bipartite graphs in general?
2. How do we calculate the number of edges in a complete bipartite graph?
3. Can a bipartite graph be regular under certain conditions?
4. What are some real-world applications of bipartite graphs?
5. How does the degree distribution vary in different types of bipartite graphs?

Tip: The degree of a vertex in a bipartite graph depends on the size of the opposite set it's connected to!