Oswin Aichholzer

Orcid: 0000-0002-2364-0583

Affiliations:
  • Graz University of Technology


According to our database1, Oswin Aichholzer authored at least 173 papers between 1994 and 2025.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of two.

Timeline

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Bibliography

2025
Flipping odd matchings in geometric and combinatorial settings.
CoRR, August, 2025

Characterizing and Recognizing Twistedness.
CoRR, August, 2025

Constrained Flips in Plane Spanning Trees.
CoRR, August, 2025

A Linear Time Algorithm for Finding Minimum Flip Sequences between Plane Spanning Paths in Convex Point Sets.
CoRR, July, 2025

Connected matchings.
Comput. Geom., 2025

2024
Folding polyominoes into cubes.
CoRR, 2024

Towards Crossing-Free Hamiltonian Cycles in Simple Drawings of Complete Graphs.
Comput. Geom. Topol., 2024

Bicolored Order Types.
Comput. Geom. Topol., 2024

There is a unique crossing-minimal rectilinear drawing of K_18.
Ars Math. Contemp., 2024

Separable Drawings: Extendability and Crossing-Free Hamiltonian Cycles.
Proceedings of the 32nd International Symposium on Graph Drawing and Network Visualization, 2024

Flips in Odd Matchings.
Proceedings of the 36th Canadian Conference on Computational Geometry, 2024

2023
Geometric dominating sets - a minimum version of the No-Three-In-Line Problem.
Comput. Geom., 2023

Flipping Plane Spanning Paths.
Proceedings of the WALCOM: Algorithms and Computation, 2023

Different Types of Isomorphisms of Drawings of Complete Multipartite Graphs.
Proceedings of the Graph Drawing and Network Visualization - 31st International Symposium, 2023

Bichromatic Perfect Matchings with Crossings.
Proceedings of the Graph Drawing and Network Visualization - 31st International Symposium, 2023

Drawings of Complete Multipartite Graphs up to Triangle Flips.
Proceedings of the 39th International Symposium on Computational Geometry, 2023

2022
Blocking Delaunay Triangulations from the Exterior.
CoRR, 2022

Reconfiguration of Non-crossing Spanning Trees.
CoRR, 2022

Geometric Dominating Sets.
CoRR, 2022

Flipping Plane Spanning Paths.
CoRR, 2022

On crossing-families in planar point sets.
Comput. Geom., 2022

Disjoint Compatibility via Graph Classes.
Proceedings of the Graph-Theoretic Concepts in Computer Science, 2022

Perfect Matchings with Crossings.
Proceedings of the Combinatorial Algorithms - 33rd International Workshop, 2022

Compatible Spanning Trees in Simple Drawings of K<sub>n</sub>.
Proceedings of the Graph Drawing and Network Visualization - 30th International Symposium, 2022

Shooting Stars in Simple Drawings of K<sub>m, n</sub>.
Proceedings of the Graph Drawing and Network Visualization - 30th International Symposium, 2022

Hardness of Token Swapping on Trees.
Proceedings of the 30th Annual European Symposium on Algorithms, 2022

Edge Partitions of Complete Geometric Graphs.
Proceedings of the 38th International Symposium on Computational Geometry, 2022

Twisted Ways to Find Plane Structures in Simple Drawings of Complete Graphs.
Proceedings of the 38th International Symposium on Computational Geometry, 2022

2021
Edge Partitions of Complete Geometric Graphs (Part 2).
CoRR, 2021

On Compatible Matchings.
Proceedings of the WALCOM: Algorithms and Computation, 2021

Another Small but Long Step for Crossing Numbers: cr(13) = 225 and cr(14) = 315.
Proceedings of the 33rd Canadian Conference on Computational Geometry, 2021

2020
An Ongoing Project to Improve the Rectilinear and the Pseudolinear Crossing Constants.
J. Graph Algorithms Appl., 2020

Drawing Graphs as Spanners.
Proceedings of the Graph-Theoretic Concepts in Computer Science, 2020

Plane Spanning Trees in Edge-Colored Simple Drawings of K<sub>n</sub>.
Proceedings of the Graph Drawing and Network Visualization - 28th International Symposium, 2020

2019
Cross-sections of line configurations in R3 and (<i>d</i> - 2)-flat configurations in Rd.
Comput. Geom., 2019

Packing plane spanning graphs with short edges in complete geometric graphs.
Comput. Geom., 2019

Flip Distances Between Graph Orientations.
Proceedings of the Graph-Theoretic Concepts in Computer Science, 2019

On the 2-Colored Crossing Number.
Proceedings of the Graph Drawing and Network Visualization - 27th International Symposium, 2019

Graphs with Large Total Angular Resolution.
Proceedings of the Graph Drawing and Network Visualization - 27th International Symposium, 2019

On the Edge-Vertex Ratio of Maximal Thrackles.
Proceedings of the Graph Drawing and Network Visualization - 27th International Symposium, 2019

Minimal Representations of Order Types by Geometric Graphs.
Proceedings of the Graph Drawing and Network Visualization - 27th International Symposium, 2019

Folding Polyominoes with Holes into a Cube.
Proceedings of the 31st Canadian Conference on Computational Geometry, 2019

2018
Bishellable drawings of K<sub>n</sub>.
SIAM J. Discret. Math., 2018

Computing balanced islands in two colored point sets in the plane.
Inf. Process. Lett., 2018

Perfect <i>k</i>-Colored Matchings and \((k+2)\) -Gonal Tilings.
Graphs Comb., 2018

Modem illumination of monotone polygons.
Comput. Geom., 2018

2017
Packing Short Plane Spanning Graphs in Complete Geometric Graphs.
CoRR, 2017

Holes in 2-Convex Point Sets.
Proceedings of the Combinatorial Algorithms - 28th International Workshop, 2017

A Superlinear Lower Bound on the Number of 5-Holes.
Proceedings of the 33rd International Symposium on Computational Geometry, 2017

2016
Reconstructing Point Set Order Types from Radial Orderings.
Int. J. Comput. Geom. Appl., 2016

Geometric Achromatic and Pseudoachromatic Indices.
Graphs Comb., 2016

Packing Short Plane Spanning Trees in Complete Geometric Graphs.
Proceedings of the 27th International Symposium on Algorithms and Computation, 2016

An Improved Lower Bound on the Minimum Number of Triangulations.
Proceedings of the 32nd International Symposium on Computational Geometry, 2016

2015
Monotone Simultaneous Embeddings of Upward Planar Digraphs.
J. Graph Algorithms Appl., 2015

3-Colorability of Pseudo-Triangulations.
Int. J. Comput. Geom. Appl., 2015

Empty Triangles in Good Drawings of the Complete Graph.
Graphs Comb., 2015

Characterization of Extremal Antipodal Polygons.
Graphs Comb., 2015

Balanced Islands in Two Colored Point Sets in the Plane.
CoRR, 2015

Reprint of: Theta-3 is connected.
Comput. Geom., 2015

Disjoint Compatibility Graph of Non-Crossing Matchings of Points in Convex Position.
Electron. J. Comb., 2015

A Note on the Number of General 4-holes in (Perturbed) Grids.
Proceedings of the Discrete and Computational Geometry and Graphs - 18th Japan Conference, 2015

An Optimal Algorithm for Reconstructing Point Set Order Types from Radial Orderings.
Proceedings of the Algorithms and Computation - 26th International Symposium, 2015

Representing Directed Trees as Straight Skeletons.
Proceedings of the Graph Drawing and Network Visualization - 23rd International Symposium, 2015

Folding Polyominoes into (Poly)Cubes.
Proceedings of the 27th Canadian Conference on Computational Geometry, 2015

2014
Flips in Combinatorial pointed Pseudo-Triangulations with Face degree at most Four.
Int. J. Comput. Geom. Appl., 2014

Cell-Paths in Mono- and Bichromatic Line Arrangements in the Plane.
Discret. Math. Theor. Comput. Sci., 2014

Empty Monochromatic Simplices.
Discret. Comput. Geom., 2014

Shellable Drawings and the Cylindrical Crossing Number of K<sub>n</sub>.
Discret. Comput. Geom., 2014

Reprint of: Extreme point and halving edge search in abstract order types.
Comput. Geom., 2014

4-Holes in point sets.
Comput. Geom., 2014

On k-convex point sets.
Comput. Geom., 2014

Reconstructing Point Set Order Typesfrom Radial Orderings.
Proceedings of the Algorithms and Computation - 25th International Symposium, 2014

Embedding Four-Directional Paths on Convex Point Sets.
Proceedings of the Graph Drawing - 22nd International Symposium, 2014

Linear transformation distance for bichromatic matchings.
Proceedings of the 30th Annual Symposium on Computational Geometry, 2014

Straight Skeletons by Means of Voronoi Diagrams Under Polyhedral Distance Functions.
Proceedings of the 26th Canadian Conference on Computational Geometry, 2014

Order types and cross-sections of line arrangements in R^3.
Proceedings of the 26th Canadian Conference on Computational Geometry, 2014

Graph Drawings with Relative Edge Length Specifications.
Proceedings of the 26th Canadian Conference on Computational Geometry, 2014

Packing Plane Spanning Trees and Paths in Complete Geometric Graphs.
Proceedings of the 26th Canadian Conference on Computational Geometry, 2014

Non-Shellable Drawings of K<sub>n</sub> with Few Crossings.
Proceedings of the 26th Canadian Conference on Computational Geometry, 2014

Einführung in die angewandte Geometrie.
Mathematik Kompakt, Birkhäuser, ISBN: 978-3-0346-0143-6, 2014

2013
Flip Graphs of Bounded Degree Triangulations.
Graphs Comb., 2013

Balanced 6-holes in linearly separable bichromatic point sets.
Electron. Notes Discret. Math., 2013

More on the crossing number of K<sub>n</sub>: Monotone drawings.
Electron. Notes Discret. Math., 2013

Extremal antipodal polygons and polytopes
CoRR, 2013

Monotone Simultaneous Embedding of Directed Paths.
CoRR, 2013

Shellable drawings and the cylindrical crossing number of $K_n$.
CoRR, 2013

Extreme point and halving edge search in abstract order types.
Comput. Geom., 2013

Geodesic-Preserving Polygon Simplification.
Proceedings of the Algorithms and Computation - 24th International Symposium, 2013

Flip Distance between Triangulations of a Simple Polygon is NP-Complete.
Proceedings of the Algorithms - ESA 2013, 2013

Cell-Paths in Mono- and Bichromatic Line Arrangements in the Plane.
Proceedings of the 25th Canadian Conference on Computational Geometry, 2013

Theta-3 is connected.
Proceedings of the 25th Canadian Conference on Computational Geometry, 2013

Covering Folded Shapes.
Proceedings of the 25th Canadian Conference on Computational Geometry, 2013

2012
On k-convex polygons.
Comput. Geom., 2012

The 2-page crossing number of K<sub>n</sub>.
Proceedings of the 28th ACM Symposium on Computational Geometry, 2012

Geodesic Order Types.
Proceedings of the Computing and Combinatorics - 18th Annual International Conference, 2012

Lower Bounds for the Number of Small Convex k-Holes.
Proceedings of the 24th Canadian Conference on Computational Geometry, 2012

What makes a Tree a Straight Skeleton?
Proceedings of the 24th Canadian Conference on Computational Geometry, 2012

2011
There is a unique crossing-minimal rectilinear drawing of K<sub>18</sub>.
Electron. Notes Discret. Math., 2011

On 5-Gons and 5-Holes.
Proceedings of the Computational Geometry - XIV Spanish Meeting on Computational Geometry, 2011

Convexifying Monotone Polygons while Maintaining Internal Visibility.
Proceedings of the Computational Geometry - XIV Spanish Meeting on Computational Geometry, 2011

Triangulations with Circular Arcs.
Proceedings of the Graph Drawing - 19th International Symposium, 2011

On k-Gons and k-Holes in Point Sets.
Proceedings of the 23rd Annual Canadian Conference on Computational Geometry, 2011

Convexifying Polygons Without Losing Visibilities.
Proceedings of the 23rd Annual Canadian Conference on Computational Geometry, 2011

2010
Large Bichromatic Point Sets Admit Empty Monochromatic 4-Gons.
SIAM J. Discret. Math., 2010

Edge-Removal and Non-Crossing Configurations in Geometric Graphs.
Discret. Math. Theor. Comput. Sci., 2010

Playing Pylos with an autonomous robot.
Proceedings of the 2010 IEEE/RSJ International Conference on Intelligent Robots and Systems, 2010

Compatible pointed pseudo-triangulations.
Proceedings of the 22nd Annual Canadian Conference on Computational Geometry, 2010

Blocking delaunay triangulations.
Proceedings of the 22nd Annual Canadian Conference on Computational Geometry, 2010

Exact Medial Axis Computation for Circular Arc Boundaries.
Proceedings of the Curves and Surfaces, 2010

Exact Medial Axis Computation for Triangulated Solids with Respect to Piecewise Linear Metrics.
Proceedings of the Curves and Surfaces, 2010

2009
New results on lower bounds for the number of (<=k)-facets.
Eur. J. Comb., 2009

On minimum weight pseudo-triangulations.
Comput. Geom., 2009

Editorial.
Comput. Geom., 2009

Recovering Structure from <i>r</i>-Sampled Objects.
Comput. Graph. Forum, 2009

Medial axis computation for planar free-form shapes.
Comput. Aided Des., 2009

Plane Graphs with Parity Constraints.
Proceedings of the Algorithms and Data Structures, 11th International Symposium, 2009

Divide-and-conquer for Voronoi diagrams revisited.
Proceedings of the 25th ACM Symposium on Computational Geometry, 2009

2008
Compatible Geometric Matchings.
Electron. Notes Discret. Math., 2008

Triangulations without pointed spanning trees.
Comput. Geom., 2008

Empty Monochromatic Triangles.
Proceedings of the 20th Annual Canadian Conference on Computational Geometry, 2008

2007
On the Number of Plane Geometric Graphs.
Graphs Comb., 2007

Gray Code Enumeration of Plane Straight-Line Graphs.
Graphs Comb., 2007

New results on lower bounds for the number of (k)-facets: (extended abstract).
Electron. Notes Discret. Math., 2007

New Lower Bounds for the Number of (<=k)-Edges and the Rectilinear Crossing Number of K<sub>n</sub>.
Discret. Comput. Geom., 2007

Connecting colored point sets.
Discret. Appl. Math., 2007

A quadratic distance bound on sliding between crossing-free spanning trees.
Comput. Geom., 2007

Maximizing Maximal Angles for Plane Straight-Line Graphs.
Proceedings of the Algorithms and Data Structures, 10th International Workshop, 2007

Computational and Structural Advantages of Circular Boundary Representation.
Proceedings of the Algorithms and Data Structures, 10th International Workshop, 2007

Pointed Drawings of Planar Graphs.
Proceedings of the 19th Annual Canadian Conference on Computational Geometry, 2007

On (Pointed) Minimum Weight Pseudo-Triangulations.
Proceedings of the 19th Annual Canadian Conference on Computational Geometry, 2007

Improved Upper Bounds on the Reflexivity of Point Sets.
Proceedings of the 19th Annual Canadian Conference on Computational Geometry, 2007

2006
On the number of plane graphs.
Proceedings of the Seventeenth Annual ACM-SIAM Symposium on Discrete Algorithms, 2006

Decompositions, Partitions, and Coverings with Convex Polygons and Pseudo-triangles.
Proceedings of the Mathematical Foundations of Computer Science 2006, 2006

Pre-triangulations and liftable complexes.
Proceedings of the 22nd ACM Symposium on Computational Geometry, 2006

2005
Games on triangulations.
Theor. Comput. Sci., 2005

On pseudo-convex decompositions, partitions, and coverings.
Proceedings of the (Informal) Proceedings of the 21st European Workshop on Computational Geometry, 2005

Transforming spanning trees and pseudo-triangulations.
Proceedings of the (Informal) Proceedings of the 21st European Workshop on Computational Geometry, 2005

Abstract order type extension and new results on the rectilinear crossing number.
Proceedings of the 21st ACM Symposium on Computational Geometry, 2005

Matching Edges and Faces in Polygonal Partitions.
Proceedings of the 17th Canadian Conference on Computational Geometry, 2005

2004
A lower bound on the number of triangulations of planar point sets.
Comput. Geom., 2004

2003
Pseudotriangulations from Surfaces and a Novel Type of Edge Flip.
SIAM J. Comput., 2003

Long proteins with unique optimal foldings in the H-P model.
Comput. Geom., 2003

The Zigzag Path of a Pseudo-Triangulation.
Proceedings of the Algorithms and Data Structures, 8th International Workshop, 2003

Adapting (Pseudo)-Triangulations with a Near-Linear Number of Edge Flips.
Proceedings of the Algorithms and Data Structures, 8th International Workshop, 2003

Spatial embedding of pseudo-triangulations.
Proceedings of the 19th ACM Symposium on Computational Geometry, 2003

On the Number of Pseudo-Triangulations of Certain Point Sets.
Proceedings of the 15th Canadian Conference on Computational Geometry, 2003

Degree Bounds for Constrained Pseudo-Triangulations.
Proceedings of the 15th Canadian Conference on Computational Geometry, 2003

2002
Enumerating Order Types for Small Point Sets with Applications.
Order, 2002

On Flips in Polyhedral Surfaces.
Int. J. Found. Comput. Sci., 2002

Flipturning Polygons.
Discret. Comput. Geom., 2002

Sequences of spanning trees and a fixed tree theorem.
Comput. Geom., 2002

Playing with Triangulations.
Proceedings of the Discrete and Computational Geometry, Japanese Conference, 2002

Quickest paths, straight skeletons, and the city Voronoi diagram.
Proceedings of the 18th Annual Symposium on Computational Geometry, 2002

On the crossing number of complete graphs.
Proceedings of the 18th Annual Symposium on Computational Geometry, 2002

Convexity minimizes pseudo-triangulations.
Proceedings of the 14th Canadian Conference on Computational Geometry, 2002

2001
Enumerating order types for small sets with applications.
Proceedings of the Seventeenth Annual Symposium on Computational Geometry, 2001

Towards Compatible Triangulations.
Proceedings of the Computing and Combinatorics, 7th Annual International Conference, 2001

The point set order type data base: A collection of applications and results.
Proceedings of the 13th Canadian Conference on Computational Geometry, 2001

On the number of triangulations every planar point set must have.
Proceedings of the 13th Canadian Conference on Computational Geometry, 2001

2000
Edge Operations on Non-Crossing Spanning Trees.
EuroCG, 2000

Reconfiguring Convex Polygons.
Proceedings of the 12th Canadian Conference on Computational Geometry, 2000

1999
New Results on MWT Subgraphs.
Inf. Process. Lett., 1999

Skew Voronoi Diagrams.
Int. J. Comput. Geom. Appl., 1999

The Path of a Triangulation.
Proceedings of the Fifteenth Annual Symposium on Computational Geometry, 1999

1998
Constant-Level Greedy Triangulations Approximate the MWT Well.
J. Comb. Optim., 1998

Generalized Self-Approaching Curves.
Proceedings of the Algorithms and Computation, 9th International Symposium, 1998

1997
Voronoi Diagrams for Direction-Sensitive Distances.
Proceedings of the Thirteenth Annual Symposium on Computational Geometry, 1997

1996
Classifying Hyperplanes in Hypercubes.
SIAM J. Discret. Math., 1996

Triangulations Intersect Nicely.
Discret. Comput. Geom., 1996

Straight Skeletons for General Polygonal Figures in the Plane.
Proceedings of the Computing and Combinatorics, Second Annual International Conference, 1996

1995
A Novel Type of Skeleton for Polygons.
J. Univers. Comput. Sci., 1995

Triangulations Intersect Nicely.
Proceedings of the Eleventh Annual Symposium on Computational Geometry, 1995

1994
Matching Shapes with a Reference Point.
Proceedings of the Tenth Annual Symposium on Computational Geometry, 1994


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