Euler's Circuit

Euler's Circuit, named after mathematician Leonhard Euler, refers to a trail in a graph that visits every edge exactly once and returns to the starting point. Imagine a path through a neighborhood where you walk along every street without retracing your steps, returning home at the end. For a graph to have an Eulerian circuit, every vertex (point where edges meet) must have an even number of edges connected to it. This concept has applications in various fields, including computer science, network design, and urban planning, helping to optimize routes and connections.