Isomorphism class

Okay kiddo, let me explain isomorphism class in a way you'll understand.

Imagine you have two sets of toys. One set has all the same toys as the other, but they might be arranged or organized differently. For example, one set might have all the blocks stacked on top of each other while the other set might have all the blocks spread out on the floor.

Now, the isomorphism class is like saying these two sets are the same in a way. Even though the toys are arranged differently, they still have the same number of toys and the same types of toys. It's sort of like how you and your friend might have different colored hair, but you're still both human and have the same basic features.

In math, we use isomorphism class to talk about structures that are the same even if they look a little different on the surface. So, if we have two graphs that look different but have the same number of vertices and edges, we can say they belong to the same isomorphism class. It's like they're part of the same toy set, even if they're arranged differently.