Definition:Cycle (Graph Theory)

A cycle is a circuit in which no vertex except the first (which is also the last) appears more than once.

Alternatively, a cycle can be defined as a closed path.

An $$n$$-cycle is a cycle with $$n$$ vertices.

The set of vertices and edges which go to make up a cycle form a subgraph.

This subgraph itself is also referred to as a cycle.