A graph in math is like a picture of a bunch of dots and lines. The dots are called "vertices" and the lines are called "edges".
Imagine you have a group of friends and you want to draw a graph to show who is friends with who. Each person in your group of friends would be a vertex and you would draw a line between each pair of friends who are friends with each other.
For example, you might draw a line between you and your best friend, and another line between your best friend and their other friend. This would make a "triangle" shape on the graph.
Graphs can help us understand relationships between things, like who is connected to who, or which things are related to each other in some way. It's like a map of connections!