Table 1: List of the implemented methods in TopTri toolkit for getting topological relationships for vertices, edges, and cycles of length 3.

Methods Input Output

vGetAdjacentVertices Vertex Vertices list
vGetIncidentEdges Vertex Edges list
vGetIncidentFaces Vertex 3-cycle list
eGetAdjacentEdges Edge Edges list
eGetIncidentFaces Edge 3-cycle list
fGetAdjacentFaces 3-cycle 3-cycle list