Eulerian Path

An Eulerian path is a trail in a graph (a collection of points connected by lines) that visits every edge exactly once. Imagine a scenario where you want to walk through a neighborhood and cross every street without retracing your steps. For a path to exist, certain conditions must be met: either all intersections (nodes) have even connections (edges), or exactly two do. A well-known example is the famous Konigsberg bridge problem, where residents sought a route to cross each of the city’s seven bridges without doubling back. Solving such paths helps in various fields, including logistics and network design.