WebMay 23, 2024 · It is known that the flip distance between two triangulations of a convex polygon is related to the minimum number of tetrahedra in the triangulation of some … WebWe prove that planar pseudotriangulations have realizations as polyhedral surfaces in three-space. Two main implications are presented. The spatial embedding leads to a novel flip operation that allows for a drastic reduction of flip distances, especially between (full) triangulations. Moreover, several key results for triangulations, like flipping to …
The flip graph of triangulations - MathOverflow
WebMar 19, 2024 · Flip distance and triangulations of a ball. 2024; Zili Wang; Zili Wang. Flip distance and triangulations of a ball, 2024, arXiv:2205.11623 [math.GT]. … WebGiven a family of triangulations of some geometric object, a flip is an operation that transforms one triangulation to another by removing an edge between two triangles and adding the opposite diagonal to the resulting quadrilateral. The flip distance between two triangulations is the minimum number of flips needed to transform one triangulation into … the grand watcher marvel
(PDF) Multiresolution molecular shapes - Academia.edu
WebGiven a family of triangulations of some geometric object, a flip is an operation that transforms one triangulation to another by removing an edge between two triangles and adding the opposite diagonal to the resulting quadrilateral. The flip distance between two triangulations is the minimum number of flips needed to transform one triangulation into … WebJan 12, 2024 · The Parameterized Flip Distance problem is to decide if the flip distance between two given triangulations is equal to a given integer k. The previous best FPT algorithm runs in time O^*(k\cdot c^k) (c\leq 2\times 14^11), where each step has fourteen possible choices, and the length of the action sequence is bounded by 11k. Webdistance, denoted by ip(T+;T ). It is well-known that ip paths are related to triangulations of a ball. Note that T+ and T determine a topological triangulation ˝ of the sphere, obtained … the grand wayne center