In this paper we introduce and discuss a graph structure associated with longest-edge algorithms (algorithms based on the bisection of triangles by the longest-edge) which can be used to reformulate longest-edge algorithms to develop new algorithms and to design efficient data structures for the refinement/derefinement of 2D and 3D triangulations. Keywords. Longest-edge refinement, bisection, data structures, improvement.
Angel Plaza, José P. Suárez, Miguel