Find an Eulerian Path in a Graph solved by 861

In “Find an Eulerian Cycle in a Graph”, we defined an Eulerian cycle. A path that traverses each edge of a graph exactly once (but does not necessarily return to its starting node is called an Eulerian path.

Eulerian Path Problem

Find an Eulerian path in a graph.

Given: A directed graph that contains an Eulerian path, where the graph is given in the form of an adjacency list.

Return: An Eulerian path in this graph.

Sample Dataset

0 -> 2
1 -> 3
2 -> 1
3 -> 0,4
6 -> 3,7
7 -> 8
8 -> 9
9 -> 6

Sample Output

6->7->8->9->6->3->0->2->1->3->4

Extra Dataset

Click for an extra dataset