A Bijection for Tricellular Maps

Figure 4

The mappings 𝑟₂ and 𝑠₂. The deleting edges are (𝛼(ℎ²₁),ℎ²₁) (blue) and (𝛼(ℎ³₁),ℎ³₁) (red). The gray dashed lines denote a sequence of half-edges connecting two vertices.