Geometric Intersection Graphs

Geometric intersection graphs are a way to represent relationships between shapes or objects based on whether they overlap or touch. Each object (like a circle, square, or polygon) is represented as a vertex (point), and an edge (connection) exists between two vertices if their corresponding shapes intersect or share a boundary. These graphs help in visualizing and analyzing spatial relationships, such as in network design, geography, or pattern recognition, by translating geometric overlaps into a simple network structure, making complex spatial interactions easier to understand and study.