How do you eulerize a graph?

Answer 1

To eulerize a graph, you need to ensure that all vertices have even degrees, as this is a requirement for a graph to have an Eulerian circuit. If any vertices have odd degrees, you can add edges between pairs of odd-degree vertices to make their degrees even. The added edges can be chosen carefully to minimize the total length of the resulting Eulerian circuit. Finally, the resulting graph will have all vertices with even degrees, allowing for an Eulerian path or circuit.