> [!NOTE] Definition (Cycle) > A *cycle* $C_{n}$ is a [[Graphs|graph]] on $n$ nodes $v_{1},\dots,v_{n}$ with edge-set $\{ (v_{i}, v_{i+1}) \mid 1 \leq i \leq n-1 \} \cup \{ (v_{n}, v_{1}) \}.$