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Flip Distance Between Triangulations of a Simple Polygon is NP-Complete

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What this work says

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

inferredcites →https://doi.org/10.1007/978-3-642-40450-4_2openalex-snapshot
Flip Distance between Triangulations of a Simple Polygon is NP-Complete
inferredcites →https://doi.org/10.1007/bf01078826openalex-snapshot
Subclass of the Steiner problems on a plane with rectilinear metric
inferredcites →https://doi.org/10.1007/bf01758762openalex-snapshot
The rectilinear steiner arborescence problem
inferredcites →https://doi.org/10.1007/bf01934990openalex-snapshot
The power of geometric duality
inferredcites →https://doi.org/10.1007/pl00009464openalex-snapshot
Flipping Edges in Triangulations
inferredcites →https://doi.org/10.1007/s00373-010-0957-2openalex-snapshot
Every Large Point Set contains Many Collinear Points or an Empty Pentagon
inferredcites →https://doi.org/10.1016/0012-365x(72)90093-3openalex-snapshot
Transforming triangulations
inferredcites →https://doi.org/10.1016/0020-0190(82)90083-7openalex-snapshot
A note on some tree similarity measures
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/j.comgeo.2008.04.001openalex-snapshot
Flips in planar graphs
inferredcites →https://doi.org/10.1016/j.comgeo.2014.01.001openalex-snapshot
Flip distance between triangulations of a planar point set is APX-hard
inferredcites →https://doi.org/10.1023/a:1009826311973openalex-snapshot
Polynomial Time Approximation Scheme for the Rectilinear Steiner Arborescence Problem
inferredcites →https://doi.org/10.1090/s0894-0347-1988-0928904-4openalex-snapshot
Rotation distance, triangulations, and hyperbolic geometry
inferredcites →https://doi.org/10.1137/0215024openalex-snapshot
Constructing Arrangements of Lines and Hyperplanes with Applications
inferredcites →https://doi.org/10.1145/142675.142726openalex-snapshot
A rational rotation method for robust geometric algorithms

What points at this work

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

inferred← citeshttps://doi.org/10.2139/ssrn.4149541openalex-extracted
An Improved Kernel for the Flip Distance Problem on Simple Convex Polygons
inferred← citeshttps://doi.org/10.1002/jgt.22443openalex-snapshot
Eccentricities in the flip‐graphs of convex polygons
inferred← citeshttps://doi.org/10.1007/978-3-030-30786-8_10openalex-snapshot
Flip Distances Between Graph Orientations
inferred← citeshttps://doi.org/10.1007/978-3-030-30786-8_13openalex-snapshot
Shortest Reconfiguration of Matchings
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/10.1007/978-3-032-04700-7_14openalex-snapshot
Computing Diverse and Nice Triangulations
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/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/s00454-023-00596-9openalex-snapshot
An $$\mathcal {O}(3.82^{k})$$ Time $$\textsf {FPT}$$ Algorithm for Convex Flip Distance
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.dam.2019.02.029openalex-snapshot
Convex dominating sets in maximal outerplanar graphs
inferred← citeshttps://doi.org/10.1016/j.dam.2020.10.018openalex-snapshot
On flips in planar matchings
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.2023.103877openalex-snapshot
The rotation distance of brooms
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.2023.106381openalex-snapshot
An improved kernel for the flip distance problem on simple convex polygons
inferred← citeshttps://doi.org/10.1137/20m1364370openalex-snapshot
Shortest Reconfiguration of Perfect Matchings via Alternating Cycles
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/10.23638/dmtcs-22-1-11openalex-snapshot
The Chromatic Number of the Disjointness Graph of the Double Chain
inferred← citeshttps://doi.org/10.3390/math13233837openalex-snapshot
Bidirectional Algorithms for Polygon Triangulations and (m + 2)-Angulations via Fuss–Catalan Numbers
inferred← citeshttps://doi.org/10.70675/81cccf81zb873z4003za275zb21b3505db2eopenalex-snapshot
Reconfiguration problems in graphs
inferred← citeshttps://doi.org/10.70675/b9a69b41z56efz40ccz814dza2639f67b149openalex-snapshot
Reconfiguration and combinatorial games
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