Definition:Eulerian Trail

Definition
An Eulerian trail is a trail $T$ that passes through every vertex of a graph $G$ and uses every edge of $G$ exactly once.

Also known as
An Eulerian trail is also known as an Eulerian path by treatments which define a path how defines a trail.

Some sources use the term Euler path or Euler trail.

An Eulerian trail is said to traverse $G$.

Also see

 * Definition:Semi-Eulerian Graph


 * Definition:Eulerian Circuit