### 3.7.51. Consecutive loops are connected

Denotes the fact that the graph constraints of a global constraint use only the $\mathrm{𝑃𝐴𝑇𝐻}$ and the $\mathrm{𝐿𝑂𝑂𝑃}$ arc generators and that their final graphs do not contain consecutive vertices that are not connected together by an arc. Moreover all vertices of their final graphs have a loop.