Eulerian Chain
Simple chain that passes through all of the edges in an undirected graph.
Property
A graph contains a Eulerian chain if the graph is connected and if it has two vertices of odd order.Example
In this graph, there is no Eulerian chain because there are more than two vertices of odd order.
The graph below has a Eulerian chain following the vertices in this order: B - A - E - D - C - B - E.
Note that the Eulerian chain above starts at an odd order vertex (B) and ends at the other odd order vertex (E).