Planarity testing

Planarity testing is a way to determine if a given network or graph can be drawn on a flat surface without any of its connections crossing each other. Imagine a network of points (nodes) connected by lines (edges); the test checks whether it's possible to arrange these points and lines on a sheet of paper so that no lines overlap or intersect except at their endpoints. This process helps in areas like circuit design, map-making, and network visualization by ensuring that the structure can be represented clearly and efficiently on a plane.