Sound familiar? This is exactly the kind of path that would solve the Bridges of Königsberg problem and is called an Eulerian cycle. As it visits all edges of the de Bruijn graph, which represent ...

Map of Königsberg in Euler’s time showing the ... By preprocessing the graph, unimportant vertices (intersections) and edges can be skipped, leading to a major speed-up. Perhaps it should ...

and paths through graphs that visit every edge once are now called Eulerian paths. Technically Euler’s argument describes only the conditions that make an Eulerian path impossible, and the proof ...

In 1735, Leonhard Euler (1707–1783), then living ... of the Königsberg bridge problem as a graph of points and lines (vertices and edges). Solving the problem would require drawing this diagram ...

It also called to mind a “Eulerian graph” in mathematics, which involves a trail that traverses every edge exactly once while starting and ending at the same point. If you're enjoying this ...