Rainbow-independent set

Okay kiddo, let's imagine you have a group of friends, all wearing different colors of the rainbow - red, orange, yellow, green, blue, indigo, and violet. Now, we're going to play a game called "Rainbow-Independent Set", where we want to see how many friends we can pick while making sure none of them are wearing colors that are next to each other on the rainbow.

Let's say we choose your friend wearing red - great! But that means we can't choose any of their neighbors - so we can't pick the friend wearing orange or yellow. We could then choose a friend wearing green, but that means we can't pick the friends wearing yellow or blue, since those are next to green on the rainbow. We could continue like this until we had picked as many friends as possible, while making sure none of the ones we picked were next to each other on the rainbow.

This is what we call a "Rainbow-Independent Set" - a group of friends where none of them are wearing colors that are next to each other on the rainbow. It's kind of like a puzzle, trying to pick as many friends as possible while following the rules!