Cycle graph (group)

Okay, so imagine you have a bunch of toys, like cars or dolls, and you want to play a game with them. One way to play a game is to put them in a line, like a train. And then you pretend they are moving along the line. This is called a cycle.

Now imagine you have lots of friends who also have toys, and you want to play a bigger game together. But you want to make sure that everyone takes turns moving their toys in the cycle. So you make a rule that everyone can only move their toy once before passing it to the next person.

This is called a cycle graph. It's a group of people and their toys moving in a cycle, but each person only gets to move their toy once before passing it on.

And just like in a game, the order in which people move their toys in the cycle matters. It can change the outcome of the game. In a cycle graph, the order in which people move their toys is called a permutation.

So a cycle graph is like a game where everyone takes turns moving their toys along a line, but only once, and the order in which they move their toys matters.