Eulerian Trail Vs Eulerian Circuit. Bridges De nition. A trail contains all edges of G is called an Euler trail and a closed Euler trial is called an Euler tour or Euler circuit.
A graph that contains Euler Path but no Euler Circuit is known as Semi-Euler Graph. Paths traversing all the bridges or in more generality paths traversing all the edges of the underlying graph are known as Eulerian paths and Eulerian paths which start and end at the same place are called Eulerian circuits. A path that visits every edge of a graph exactly once is known as Euler Path.
AnEulerian circuitresp anEulerian trail in a graph G is a circuit resp trail containing all edges of G.
Stack Exchange Network Stack Exchange network consists of 176 QA communities including Stack Overflow the largest most trusted online community for developers to learn share their knowledge and build their careers. A graph is called semi-eulerian if it has an Eulerian Walk a walk which visits every edge exactly once but not such a closed walk. A graph is called Eulerian if it there exists an Eulerian Tour a closed walk which visits every edge exactly once. An Euler circuit is a circuit that uses every edge of a graph exactly once.
