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.

Also seen are the following:
 * Euler path
 * Euler trail
 * Eulerian chain or Euler chain

An Eulerian trail is said to traverse $G$.

Also see

 * Definition:Semi-Eulerian Graph


 * Definition:Eulerian Circuit