Cayley graph

Imagine you are a teacher and you have a bunch of students in your class. Each student is friends with some other students and not friends with others. You want to draw a map or graph of this friendship network.

But instead of drawing pictures of the actual students, you come up with a code. Each student gets a number, and if two students are friends, you draw an arrow from one number to the other.

This kind of graph is called a Cayley graph. It helps us understand how things are connected and related to each other, even if the things themselves are not physical objects that we can draw pictures of.

It's kind of like a treasure map that leads you from one clue to the next, until you find the treasure at the end. Only in this case, we're not looking for treasure, we're looking for relationships between numbers or groups of things.