Algebraic graph theory

Algebraic graph theory is a branch of mathematics that looks at how to use algebra to describe and understand the structure of graphs and how they interact with each other. In a graph, the points (also called vertices) are connected by lines (called edges). Algebraic graph theory tries to understand how these points are related by looking at the algebraic equations that describe the connections between them. For example, if you have an equation that tells you how two points are connected, then you can use the equation to find out how each point interacts with the others. It's like a puzzle – each piece of the puzzle (each equation) helps you understand the connections between the points.