Circuit that does not use the same arc twice.
Example
In this directed graph, the circuit that passes, in order, through the arcs
a,
b,
c,
d,
e and
n is a simple circuit.

In this directed graph, the circuit that passes, in order, through the arcs
a,
b,
c,
d,
g,
b,
f and
n is a non-simple circuit.