What's a Euler Circuit?
In Graph Theory, an Eulerian Trail Is a Trail in a Finite Graph That Visits Every Edge Exactly Once. Similarly, an Eulerian Circuit or Eulerian Cycle Is an...
In graph theory, an Eulerian trail is a trail in a finite graph that visits every edge exactly once. Similarly, an Eulerian circuit or Eulerian cycle is an Eulerian trail that starts and ends on the same vertex.
What makes a Euler circuit?
An Euler circuit is a circuit that uses every edge of a graph exactly once. ▶ An Euler path starts and ends at different vertices. ▶ An Euler circuit starts and ends at the same vertex.
How do you find the Euler circuit?
A graph has an Euler circuit if and only if the degree of every vertex is even. A graph has an Euler path if and only if there are at most two vertices with odd degree.