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Flipping Edges in Triangulations

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01944353openalex-snapshot
Generating Rooted Triangulations Without Repetitions
inferredcites →https://doi.org/10.1007/bf01975867openalex-snapshot
Incremental topological flipping works for regular triangulations
inferredcites →https://doi.org/10.1007/bf02712876openalex-snapshot
Topologically sweeping visibility complexes via pseudotriangulations
inferredcites →https://doi.org/10.1007/s004539900013openalex-snapshot
Incremental Topological Flipping Works for Regular Triangulations
inferredcites →https://doi.org/10.1016/0196-6774(87)90048-4openalex-snapshot
The rotation graph of binary trees is Hamiltonian
inferredcites →https://doi.org/10.1016/b978-0-12-587260-7.50011-xopenalex-snapshot
Software for C1 Surface Interpolation
inferredcites →https://doi.org/10.1016/s0195-6698(89)80072-1openalex-snapshot
The Associahedron and Triangulations of the n-gon
inferredcites →https://doi.org/10.1090/dimacs/004/35openalex-snapshot
Regular triangulations of convex polytopes
inferredcites →https://doi.org/10.1137/0913058openalex-snapshot
An $O(n^2 \log n)$ Time Algorithm for the Minmax Angle Triangulation
inferredcites →https://doi.org/10.1142/9789812831699_0003openalex-snapshot
MESH GENERATION AND OPTIMAL TRIANGULATION
inferredcites →https://doi.org/10.1142/9789812831699_0007openalex-snapshot
VORONOI DIAGRAMS and DELAUNAY TRIANGULATIONS
inferredcites →https://doi.org/10.1145/237218.237409openalex-snapshot
The graph of triangulations of a convex polygon
inferredcites →https://doi.org/10.1201/9781420035315.ch23openalex-snapshot
Voronoi Diagrams and Delaunay Triangulations
inferredcites →https://doi.org/10.3217/jucs-002-08-0570openalex-snapshot
The Edge-Flipping Distance of Triangulations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/jgt.20214openalex-snapshot
Simultaneous diagonal flips in plane triangulations
inferred← citeshttps://doi.org/10.1002/oca.2993openalex-snapshot
A mesh‐based partitioning algorithm for decreasing conservatism in solving bilinear matrix inequality problems
inferred← citeshttps://doi.org/10.1007/3-540-44860-8_55openalex-snapshot
Transforming Pseudo-Triangulations
inferred← citeshttps://doi.org/10.1007/3-540-44968-x_6openalex-snapshot
On Local Transformation of Polygons with Visibility Properties
inferred← citeshttps://doi.org/10.1007/3-540-47738-1_19openalex-snapshot
The construction of Delaunay diagrams by lob reduction
inferred← citeshttps://doi.org/10.1007/3-540-68535-9_12openalex-snapshot
Better Approximation of Diagonal-Flip Transformation and Rotation Transformation
inferred← citeshttps://doi.org/10.1007/978-1-4614-0110-0_16openalex-snapshot
Counting Plane Graphs: Flippability and Its Applications
inferred← citeshttps://doi.org/10.1007/978-3-030-61792-9_18openalex-snapshot
Flips in Higher Order Delaunay Triangulations
inferred← citeshttps://doi.org/10.1007/978-3-030-76798-3_6openalex-snapshot
On Decomposition of Embedded Prismatoids in $$\mathbb {R}^3$$ Without Additional Points
inferred← citeshttps://doi.org/10.1007/978-3-031-20624-5_44openalex-snapshot
Complexity Results on Untangling Red-Blue Matchings
inferred← citeshttps://doi.org/10.1007/978-3-031-27051-2_10openalex-snapshot
On the Longest Flip Sequence to Untangle Segments in the Plane
inferred← citeshttps://doi.org/10.1007/978-3-031-75409-8_23openalex-snapshot
On the Connectivity of the Flip Graph of Plane Spanning Paths
inferred← citeshttps://doi.org/10.1007/978-3-319-48532-4_25openalex-snapshot
The Mathematics of Ferran Hurtado: A Brief Survey
inferred← citeshttps://doi.org/10.1007/978-3-540-24767-8_3openalex-snapshot
On Local Transformations in Plane Geometric Graphs Embedded on Small Grids
inferred← citeshttps://doi.org/10.1007/978-3-540-27810-8_15openalex-snapshot
Connectivity of Graphs Under Edge Flips
inferred← citeshttps://doi.org/10.1007/978-3-540-31843-9_1openalex-snapshot
Reconfiguring Triangulations with Edge Flips and Point Moves
inferred← citeshttps://doi.org/10.1007/978-3-540-45078-8_2openalex-snapshot
Adapting (Pseudo)-Triangulations with a Near-Linear Number of Edge Flips
inferred← citeshttps://doi.org/10.1007/978-3-540-73545-8_25openalex-snapshot
Enumerating Constrained Non-crossing Geometric Spanning Trees
inferred← citeshttps://doi.org/10.1007/978-3-642-22300-6_44openalex-snapshot
Counting Plane Graphs: Flippability and Its Applications
inferred← citeshttps://doi.org/10.1007/978-3-642-34191-5_13openalex-snapshot
Simultaneously Flippable Edges in Triangulations
inferred← citeshttps://doi.org/10.1007/978-3-642-40450-4_2openalex-snapshot
Flip Distance between Triangulations of a Simple Polygon is NP-Complete
inferred← citeshttps://doi.org/10.1007/978-3-642-54423-1_42openalex-snapshot
The Flip Diameter of Rectangulations and Convex Subdivisions
inferred← citeshttps://doi.org/10.1007/978-981-97-0566-5_13openalex-snapshot
Short Flip Sequences to Untangle Segments in the Plane
inferred← citeshttps://doi.org/10.1007/s00022-011-0076-0openalex-snapshot
A generalized Winternitz Theorem
inferred← citeshttps://doi.org/10.1007/s00026-018-0393-1openalex-snapshot
Once Punctured Disks, Non-Convex Polygons, and Pointihedra
inferred← citeshttps://doi.org/10.1007/s00208-005-0643-5openalex-snapshot
Non-connected toric Hilbert schemes
inferred← citeshttps://doi.org/10.1007/s00211-015-0732-7openalex-snapshot
Adaptive, anisotropic and hierarchical cones of discrete convex functions
inferred← citeshttps://doi.org/10.1007/s00373-004-0555-2openalex-snapshot
A Note on Convex Decompositions of a Set of Points in the Plane
inferred← citeshttps://doi.org/10.1007/s00373-005-0615-2openalex-snapshot
Graphs of Triangulations and Perfect Matchings
inferred← citeshttps://doi.org/10.1007/s00373-007-0750-zopenalex-snapshot
Gray Code Enumeration of Plane Straight-Line Graphs
inferred← citeshttps://doi.org/10.1007/s00373-012-1201-zopenalex-snapshot
The Edge Rotation Graph
inferred← citeshttps://doi.org/10.1007/s00373-012-1229-0openalex-snapshot
Flip Graphs of Bounded Degree Triangulations
inferred← citeshttps://doi.org/10.1007/s00373-015-1621-7openalex-snapshot
Counting Carambolas
inferred← citeshttps://doi.org/10.1007/s00373-019-02081-8openalex-snapshot
On Almost Empty Monochromatic Triangles and Convex Quadrilaterals in Colored Point Sets
inferred← citeshttps://doi.org/10.1007/s00373-021-02346-1openalex-snapshot
Quadrangulations of a Polygon with Spirality
inferred← citeshttps://doi.org/10.1007/s00454-007-9032-zopenalex-snapshot
Pre-Triangulations and Liftable Complexes
inferred← citeshttps://doi.org/10.1007/s00454-009-9164-4openalex-snapshot
Fast Enumeration Algorithms for Non-crossing Geometric Graphs
inferred← citeshttps://doi.org/10.1007/s00454-015-9693-yopenalex-snapshot
Edge Flips in Surface Meshes
inferred← citeshttps://doi.org/10.1007/s00454-015-9709-7openalex-snapshot
Flip Distance Between Triangulations of a Simple Polygon is NP-Complete
inferred← citeshttps://doi.org/10.1007/s00454-017-9867-xopenalex-snapshot
Computing the Flip Distance Between Triangulations
inferred← citeshttps://doi.org/10.1007/s00454-018-0035-8openalex-snapshot
A Proof of the Orbit Conjecture for Flipping Edge-Labelled Triangulations
inferred← citeshttps://doi.org/10.1007/s00454-020-00251-7openalex-snapshot
Counting Polygon Triangulations is Hard
inferred← citeshttps://doi.org/10.1007/s00454-022-00436-2openalex-snapshot
Connectivity of Triangulation Flip Graphs in the Plane
inferred← citeshttps://doi.org/10.1007/s00454-023-00596-9openalex-snapshot
An $$\mathcal {O}(3.82^{k})$$ Time $$\textsf {FPT}$$ Algorithm for Convex Flip Distance
inferred← citeshttps://doi.org/10.1007/s00454-024-00691-5openalex-snapshot
Erdős–Szekeres-Type Problems in the Real Projective Plane
inferred← citeshttps://doi.org/10.1007/s00454-025-00785-8openalex-snapshot
Reconfiguration of Plane Trees in Convex Geometric Graphs
inferred← citeshttps://doi.org/10.1007/s10878-012-9480-0openalex-snapshot
Flipping triangles and rectangles
inferred← citeshttps://doi.org/10.1007/s11280-019-00716-7openalex-snapshot
Preserving location privacy using three layer RDV masking in geocoded published discrete point data
inferred← citeshttps://doi.org/10.1016/b978-0-12-809952-0.00002-9openalex-snapshot
Decomposition
inferred← citeshttps://doi.org/10.1016/j.aim.2019.106939openalex-snapshot
Minimal surfaces from infinitesimal deformations of circle packings
inferred← citeshttps://doi.org/10.1016/j.aim.2024.110055openalex-snapshot
Order-2 Delaunay triangulations optimize angles
inferred← citeshttps://doi.org/10.1016/j.cam.2018.06.029openalex-snapshot
Hamiltonian triangular refinements and space-filling curves
inferred← citeshttps://doi.org/10.1016/j.comgeo.2004.09.002openalex-snapshot
Enumerating pseudo-triangulations in the plane
inferred← citeshttps://doi.org/10.1016/j.comgeo.2006.12.004openalex-snapshot
On local transformations in plane geometric graphs embedded on small grids
inferred← citeshttps://doi.org/10.1016/j.comgeo.2007.07.006openalex-snapshot
Triangulations without pointed spanning trees
inferred← citeshttps://doi.org/10.1016/j.comgeo.2008.04.001openalex-snapshot
Flips in planar graphs
inferred← citeshttps://doi.org/10.1016/j.comgeo.2014.01.001openalex-snapshot
Flip distance between triangulations of a planar point set is APX-hard
inferred← citeshttps://doi.org/10.1016/j.comgeo.2014.08.009openalex-snapshot
Bichromatic compatible matchings
inferred← citeshttps://doi.org/10.1016/j.comgeo.2014.11.001openalex-snapshot
Flip distance between two triangulations of a point set is NP-complete
inferred← citeshttps://doi.org/10.1016/j.comgeo.2015.08.003openalex-snapshot
Convex blocking and partial orders on the plane
inferred← citeshttps://doi.org/10.1016/j.comgeo.2016.08.001openalex-snapshot
Flips in edge-labelled pseudo-triangulations
inferred← citeshttps://doi.org/10.1016/j.comgeo.2017.06.005openalex-snapshot
Flipping edge-labelled triangulations
inferred← citeshttps://doi.org/10.1016/j.comgeo.2019.01.008openalex-snapshot
Flip distance to some plane configurations
inferred← citeshttps://doi.org/10.1016/j.comgeo.2020.101729openalex-snapshot
Flipping in spirals
inferred← citeshttps://doi.org/10.1016/j.comgeo.2022.101974openalex-snapshot
Complexity results on untangling red-blue matchings
inferred← citeshttps://doi.org/10.1016/j.comgeo.2025.102184openalex-snapshot
Flips in odd matchings
inferred← citeshttps://doi.org/10.1016/j.comgeo.2026.102277openalex-snapshot
Flip equivalence of ortho-unit polygons
inferred← citeshttps://doi.org/10.1016/j.compstruct.2018.09.006openalex-snapshot
Optimized finite element analysis model based on terrestrial laser scanning data
inferred← citeshttps://doi.org/10.1016/j.dam.2009.04.019openalex-snapshot
Enumerating edge-constrained triangulations and edge-constrained non-crossing geometric spanning trees
inferred← citeshttps://doi.org/10.1016/j.dam.2023.07.027openalex-snapshot
Flip paths between lattice triangulations
inferred← citeshttps://doi.org/10.1016/j.ejc.2016.12.002openalex-snapshot
Counting triangulations of some classes of subdivided convex polygons
inferred← citeshttps://doi.org/10.1016/j.ejc.2025.104248openalex-snapshot
Flips in two-dimensional hypertriangulations
inferred← citeshttps://doi.org/10.1016/j.endm.2009.07.084openalex-snapshot
Flip Graphs of Bounded-Degree Triangulations
inferred← citeshttps://doi.org/10.1016/j.endm.2018.06.011openalex-snapshot
Geometric quadrangulations of a polygon
inferred← citeshttps://doi.org/10.1016/j.ic.2021.104708openalex-snapshot
An improved FPT algorithm for the flip distance problem
inferred← citeshttps://doi.org/10.1016/j.ipl.2004.01.021openalex-snapshot
Transforming pseudo-triangulations
inferred← citeshttps://doi.org/10.1016/j.ipl.2005.09.003openalex-snapshot
Transforming spanning trees and pseudo-triangulations
inferred← citeshttps://doi.org/10.1016/j.jcta.2013.01.002openalex-snapshot
Counting plane graphs: Perfect matchings, spanning cycles, and Kasteleynʼs technique
inferred← citeshttps://doi.org/10.1016/j.tcs.2018.05.031openalex-snapshot
Minimum weight connectivity augmentation for planar straight-line graphs
inferred← citeshttps://doi.org/10.1016/s0020-0190(00)00008-9openalex-snapshot
An efficient upper bound of the rotation distance of binary trees
inferred← citeshttps://doi.org/10.1016/s0304-3975(01)00409-1openalex-snapshot
On local transformation of polygons with visibility properties
inferred← citeshttps://doi.org/10.1016/s0925-7721(02)00111-6openalex-snapshot
An efficient algorithm for enumeration of triangulations
inferred← citeshttps://doi.org/10.1021/acs.cgd.7b00853openalex-snapshot
Defining the Role of Silicon Substrate Orientation on the Polycrystalline Diamond Film: A Novel Approach for Characterizing Faceted Microstructures
inferred← citeshttps://doi.org/10.1063/1.5130820openalex-snapshot
Temperature field distribution in spoke-type permanent magnet synchronous machines
inferred← citeshttps://doi.org/10.1080/00207160500069870openalex-snapshot
An efficient algorithm for estimating rotation distance between two binary trees
inferred← citeshttps://doi.org/10.1093/comjnl/bxq040openalex-snapshot
An Optimal Rotation Distance Set
inferred← citeshttps://doi.org/10.1109/cit.2017.44openalex-snapshot
The Enumeration of Flippable Edges in Maximal Planar Graphs
inferred← citeshttps://doi.org/10.1109/csse.2008.337openalex-snapshot
Diagonal-Flip Distance Algorithms of Three Type Triangulations
inferred← citeshttps://doi.org/10.1109/etfa.2017.8247736openalex-snapshot
Incremental 2D Delaunay triangulation core implementation on FPGA for surface reconstruction via high-level synthesis
inferred← citeshttps://doi.org/10.1137/050631008openalex-snapshot
Counting and Enumerating Pointed Pseudotriangulations with the Greedy Flip Algorithm
inferred← citeshttps://doi.org/10.1137/070697987openalex-snapshot
Transforming Triangulations on Nonplanar Surfaces
inferred← citeshttps://doi.org/10.1137/1.9781611975994.172openalex-snapshot
Connectivity of Triangulation Flip Graphs in the Plane (Part I: Edge Flips)
inferred← citeshttps://doi.org/10.1137/18m1216456openalex-snapshot
Rainbow Cycles in Flip Graphs
inferred← citeshttps://doi.org/10.1137/s0097539702411368openalex-snapshot
Pseudotriangulations from Surfaces and a Novel Type of Edge Flip
inferred← citeshttps://doi.org/10.1139/juvs-2018-0015openalex-snapshot
Structural mapping of rock walls imaged with a LiDAR mounted on an unmanned aircraft system
inferred← citeshttps://doi.org/10.1142/s0129626406002447openalex-snapshot
INHERENTLY PARALLEL GEOMETRIC COMPUTATIONS
inferred← citeshttps://doi.org/10.1142/s0218195903001098openalex-snapshot
SIMULTANEOUS EDGE FLIPPING IN TRIANGULATIONS
inferred← citeshttps://doi.org/10.1142/s0218195914600036openalex-snapshot
FLIPS IN COMBINATORIAL POINTED PSEUDO-TRIANGULATIONS WITH FACE DEGREE AT MOST FOUR
inferred← citeshttps://doi.org/10.1145/1137856.1137899openalex-snapshot
Pre-triangulations and liftable complexes
inferred← citeshttps://doi.org/10.1145/1247069.1247084openalex-snapshot
Happy endings for flip graphs
inferred← citeshttps://doi.org/10.1145/1377676.1377733openalex-snapshot
Fast enumeration algorithms for non-crossing geometric graphs
inferred← citeshttps://doi.org/10.1145/2261250.2261277openalex-snapshot
Counting plane graphs
inferred← citeshttps://doi.org/10.1145/2462356.2462379openalex-snapshot
Bichromatic compatible matchings
inferred← citeshttps://doi.org/10.1145/2493132.2462379openalex-snapshot
Bichromatic compatible matchings
inferred← citeshttps://doi.org/10.1145/2789149.2789162openalex-snapshot
Computational Geometry Column 61
inferred← citeshttps://doi.org/10.1145/3745756.3809238openalex-snapshot
DeformRF: Data-driven Beamforming and Direction Finding with Deformable Antenna Arrays
inferred← citeshttps://doi.org/10.20382/jocg.v15i1a8openalex-snapshot
Flipping Geometric Triangulations on Hyperbolic Surfaces
inferred← citeshttps://doi.org/10.20382/jocg.v1i1a2openalex-snapshot
Happy endings for flip graphs
inferred← citeshttps://doi.org/10.2139/ssrn.5481168openalex-snapshot
Untangling Segments in the Plane
inferred← citeshttps://doi.org/10.22215/etd/2015-11052openalex-snapshot
Flips and Spanners
inferred← citeshttps://doi.org/10.22215/etd/2020-14152openalex-snapshot
Generalized Delaunay Triangulations:Graph-Theoretic Properties and Algorithms
inferred← citeshttps://doi.org/10.23638/dmtcs-22-1-11openalex-snapshot
The Chromatic Number of the Disjointness Graph of the Double Chain
inferred← citeshttps://doi.org/10.2514/1.j061929openalex-snapshot
Unstructured, Pressure-Based Algorithm Using Implicit Runge–Kutta for Moving Boundary Problems
inferred← citeshttps://doi.org/10.2514/6.2022-1051openalex-snapshot
An Unstructured, Pressure-Based Algorithm using Implicit Runge-Kutta for Moving Boundary Problems
inferred← citeshttps://doi.org/10.26565/2304-6201-2020-45-05openalex-snapshot
The mathematical model of the thermal process in Spoke-Type Permanent Magnet Synchronous Machines
inferred← citeshttps://doi.org/10.30819/5232openalex-snapshot
Smartphone-Based 3D Indoor Localization and Navigation
inferred← citeshttps://doi.org/10.3217/wr0km-v1e13openalex-snapshot
Relaxing and lifting triangulations
inferred← citeshttps://doi.org/10.3390/s21206728openalex-snapshot
Magnetoimpedance of CoFeCrSiB Ribbon-Based Sensitive Element with FeNi Covering: Experiment and Modeling
inferred← citeshttps://doi.org/10.3390/s22051987openalex-snapshot
Detection of DIAG and LINE Patterns in PassPoints Graphical Passwords Based on the Maximum Angles of Their Delaunay Triangles
inferred← citeshttps://doi.org/10.37236/557openalex-snapshot
Counting Triangulations of Planar Point Sets
inferred← citeshttps://doi.org/10.4171/022-3/46openalex-snapshot
Geometric bistellar flips: the setting, the context and a construction
inferred← citeshttps://doi.org/10.4230/lipics.stacs.2011.637openalex-snapshot
Bounds on the maximum multiplicity of some common geometric graphs
inferred← citeshttps://doi.org/10.46298/dmtcs.646openalex-snapshot
The Flip Diameter of Rectangulations and Convex Subdivisions
inferred← citeshttps://doi.org/10.48550/arxiv.1012.5664openalex-snapshot
Bounds on the maximum multiplicity of some common geometric graphs
inferred← citeshttps://doi.org/10.48550/arxiv.1402.1561openalex-snapshot
Adaptive, Anisotropic and Hierarchical cones of Discrete Convex functions
inferred← citeshttps://doi.org/10.48550/arxiv.1808.03126openalex-snapshot
A Note on the Flip Distance Problem for Edge-Labeled Triangulations
inferred← citeshttps://doi.org/10.48550/arxiv.1905.00791openalex-snapshot
Flip Distance to some Plane Configurations
inferred← citeshttps://doi.org/10.48550/arxiv.2106.08012openalex-snapshot
Strong convexity in flip-graphs
inferred← citeshttps://doi.org/10.48550/arxiv.math/0601746openalex-snapshot
Geometric bistellar flips. The setting, the context and a construction
inferred← citeshttps://doi.org/10.5555/1109557.1109582openalex-snapshot
Simultaneous diagonal flips in plane triangulations
inferred← citeshttps://doi.org/10.5555/644108.644160openalex-snapshot
Perturbations and vertex removal in a 3D delaunay triangulation
inferred← citeshttps://doi.org/10.5821/dissertation-2117-328194openalex-snapshot
Generalized Delaunay triangulations : graph-theoretic properties and algorithms
inferred← citeshttps://doi.org/10.70675/008c8952z60dcz48b7zb98ez40c1fff00fd9openalex-snapshot
Contribution à la reconstruction de surfaces complexes à partir d'un grand flot de données non organisées pour la métrologie 3D.
inferred← citeshttps://doi.org/10.70675/81cccf81zb873z4003za275zb21b3505db2eopenalex-snapshot
Reconfiguration problems in graphs
inferred← citeshttps://doi.org/10.70675/b9a69b41z56efz40ccz814dza2639f67b149openalex-snapshot
Reconfiguration and combinatorial games
inferred← citeshttps://doi.org/10.7250/itms-2023-0003openalex-snapshot
Building Minimum Spanning Trees under Maximum Edge Length Constraint
inferred← citeshttps://doi.org/10.82308/10590openalex-snapshot
Reconfigurations of polygonal structures
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