ELI5: Explain Like I'm 5

Complement graph

Imagine you have a set of toys. And you want to show all possible connections between the toys. You can use a graph for that. A graph is like a picture with dots and lines. Each dot represents a toy, and each line represents a connection between two toys.

Now, what if you also want to show which toys are not connected? For example, if you have four toys, and you drew a line between the first and second toy, and another line between the second and third toy, you still don't know if the first and the third toy have a connection or not.

That's where the complement graph comes in. It is a graph that shows all the connections that are not in the original graph. So, if you have drawn lines between two toys in the original graph, those two toys won't have a line in the complement graph. And if you have not drawn a line between two toys in the original graph, those two toys will have a line in the complement graph.

So, in summary, the complement graph shows all the connections that are missing in the original graph. It helps us understand the relationships between items and gaps that we might have missed in our initial analysis.