Euler Trails and Circuits
Interactive practice questions
The following questions relate to Euler trails and circuits.
Which of the following is a correct description of an Euler trail?
A trail that passes through each edge of a graph exactly once.
A trail that starts and finishes at the same vertex.
A trail that passes through each edge of a graph at least once.
A trail that visits each vertex exactly once.
Which of the following are correct descriptions of an Euler circuit? Select all that apply.
A circuit that passes through each edge of a graph exactly once.
An Euler trail that visits each vertex exactly once.
A circuit that passes through each edge of a graph at least once.
An Euler trail that starts and finishes at the same vertex.
The following questions relate to Euler trails and circuits.
Suppose $G$G is a very large network, with $300$300 vertices, each of even degree.
Is it possible to draw an Euler trail on the following network?