site stats

Flip distance and triangulations of a ball

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 https://horseghost.com

(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

The flip graph of triangulations - MathOverflow

Category:Flip Distance Between Triangulations of a Simple Polygon is …

Tags:Flip distance and triangulations of a ball

Flip distance and triangulations of a ball

Flip Distances Between Graph Orientations

WebFeb 10, 2024 · The flip distance between two triangulations of \(\mathcal{{P}}\) is the minimum number of flips needed to transform one triangulation into the other. The Flip Distance problem asks if the flip distance between two given triangulations of \(\mathcal{{P}}\) is at most k, for some given \(k \in \mathbb {N}\). It is a fundamental and …

Flip distance and triangulations of a ball

Did you know?

WebJul 10, 2014 · Theorem 3 is the most important result of the section because it relates the flip distance of two triangulations with that of two triangulations with fewer vertices. A more general result on flip-graphs can be obtained from the main arguments in the proof of this theorem: consider some vertex a of a convex polygon π.If U and V are two … Webn, the flip distance d(P,P′) between Pand P′is the length of a short-est path from Pto P′. One of the earliest results in this area is the upper bound on flip distance proved by Culik et al. [4]. Precisely, the flip distance between two polygons (P,P′) ∈P nis at most 2n−6 for all (P,P′) ∈P n. Later, Sleator et al. [12] improved ...

WebThe flip distance between two triangulations is the minimum number of flips needed to transform one triangulation into another. It can also be described as the shortest path … WebTriangulations of a point configuration. #. A point configuration is a finite set of points in Euclidean space or, more generally, in projective space. A triangulation is a simplicial decomposition of the convex hull of a given point configuration such that all vertices of the simplices end up lying on points of the configuration.

WebJun 11, 2015 · We show that computing the flip distance between two triangulations of a simple polygon is NP-hard. This complements a recent result that shows APX-hardness … WebThe flip graph of triangulations. Asked 12 years, 1 month ago. Modified 5 months ago. Viewed 2k times. 14. A polygon P k divided by k − 2 diagonals into triangles is called a …

Webmake the observation that certain solved and unsolved problems about triangulations can be cast as recon guration problems. We then solve some recon guration problems that provide us new insights about triangulations. Following are the main contributions of this thesis: 1.We show that computing the ip distance between two triangulations of a ...

WebMay 23, 2024 · Upload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display). the grand warrington bottomless brunchWebJul 6, 2014 · Do you navigate arXiv using a screen reader or other assistive technology? Are you a professor who helps students do so? We want to hear from you. theatres hobartWebOct 14, 2024 · Abstract: Given a set $\cal P$ of points in the Euclidean plane and two triangulations of $\cal P$, the flip distance between these two triangulations is the minimum number of flips required to transform one triangulation into the other. Parameterized Flip Distance problem is to decide if the flip distance between two given … the grand warren ohWebFeb 10, 2024 · Lawson studied flips in triangulations, and proved that any two triangulations of \(\mathcal{{P}}\) can be transformed into one another by a finite … theatre shirts designsWebWang, D., Wang, X., Li, S., & Zhang, S. (2008). Diagonal-Flip Distance Algorithms of Three Type Triangulations. 2008 International Conference on Computer Science and ... theatreshop.comWeb2 days ago · How this 10-handicap stopped his sway and added power to his swing By: Zephyr Melton “Instead of dropping the ball, roll the ball [against the wall] — kind of like a gear effect,” she says. theatre shoes ukWeb@inproceedings{Wang2024FlipDA, title={Flip Distance and Triangulations of a Ball}, author={Zili Wang}, year={2024} } Zili Wang; Published 23 May 2024; Mathematics; 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 polyhedron. It is ... the grand waterworld makadi