Oswin Aichholzer, Alfredo García, Javier Tejel, Birgit Vogtenhuber and Alexandra Weinberger
Twisted Ways to Find Plane Structures in Simple Drawings of Complete Graphs
Discrete & Computational Geometry
71,
40-66,
2024
, DOI
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Oswin Aichholzer, Ruy Fabila-Monroy, Philipp Kindermann, Irene Parada, Rosna Paul, Daniel Perz, Patrick Schnider and Birgit Vogtenhuber
Perfect Matchings with Crossings
Algorithmica
86,
697-716,
2024
, DOI
Publikation in PURE anzeigen
Oswin Aichholzer, Joachim Orthaber and Birgit Vogtenhuber
Towards Crossing-Free Hamiltonian Cycles in Simple Drawings of Complete Graphs
Computing in Geometry and Topology
3,
5:1–5:30,
2024
, DOI
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Man-Kwun Chiu, Stefan Felsner, Manfred Scheucher, Felix Schröder, Raphael Steiner and Birgit Vogtenhuber
Coloring circle arrangements: New 4-chromatic planar graphs
European Journal of Combinatorics
121,
1-19,
2024
, DOI
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Henry Förster, Philipp Kindermann, Tilmann Miltzow, Irene Parada, Soeren Terziadis and Birgit Vogtenhuber Geometric Thickness of Multigraphs is ∃R-CompleteLATIN 2024336-349
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Yan Alves Radtke, Stefan Felsner, Johannes Obenaus, Sandro Roch, Manfred Scheucher and Birgit Vogtenhuber Flip Graph Connectivity for Arrangements of Pseudolines and Pseudocircles
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Oswin Aichholzer, Alfredo García, Irene Parada, Birgit Vogtenhuber and Alexandra Weinberger Shooting Stars in Simple Drawings of $K_{m,n}$Graph Drawing and Network Visualization - 30th International Symposium, GD 2022, Tokyo, Japan, September 13-16, 2022, Revised Selected Papers 49–57
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Alfredo García, Javier Tejel, Birgit Vogtenhuber and Alexandra Weinberger Empty Triangles in Generalized Twisted Drawings of $K_n$Graph Drawing and Network Visualization - 30th International Symposium, GD 2022, Tokyo, Japan, September 13-16, 2022, Revised Selected Papers40–48
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Oswin Aichholzer, Kristin Knorr, Wolfgang Mulzer, Nicolas El Maalouly, Johannes Obenaus, Rosna Paul, Meghana M. Reddy, Birgit Vogtenhuber and Alexandra Weinberger Compatible Spanning Trees in Simple Drawings of KnGraph Drawing and Network Visualization - 30th International Symposium, GD 2022, Tokyo, Japan, September 13-16, 2022, Revised Selected Papers16-24
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Oswin Aichholzer, Matias Korman, Yoshio Okamoto, Irene Parada, Daniel Perz, André van Renssen and Birgit Vogtenhuber
Graphs with large total angular resolution
Theoretical Computer Science
943,
73-88,
2023
, DOI
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Alan Arroyo, Fabian Klute, Irene Parada, Birgit Vogtenhuber, Raimund Seidel and Tilo Wiedera
Inserting One Edge into a Simple Drawing is Hard
Discrete and Computational Geometry
69,
745-770,
2023
, DOI
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Oswin Aichholzer, Man Kwun Chiu, Hung P. Hoang, Michael Hoffmann, Jan Kynčl, Yannic Maus, Birgit Vogtenhuber and Alexandra Weinberger Drawings of Complete Multipartite Graphs up to Triangle Flips39th International Symposium on Computational Geometry, SoCG 2023
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Alfredo García, Javier Tejel, Birgit Vogtenhuber and Alexandra Weinberger
Empty Triangles in Generalized Twisted Drawings of Kn
Journal of Graph Algorithms and Applications
27,
721-735,
2023
, DOI
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Oswin Aichholzer, Birgit Vogtenhuber and Alexandra Weinberger Different Types of Isomorphisms of Drawings of Complete Multipartite GraphsGraph Drawing and Network Visualization - 31st International Symposium, GD 2023, Revised Selected Papers34-50
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Alfredo García, Javier Tejel, Birgit Vogtenhuber and Alexandra Weinberger Empty Triangles in Generalized Twisted Drawings of K<sub>n</sub>Graph Drawing and Network Visualization - 30th International Symposium, GD 2022, Revised Selected Papers40-48
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Oswin Aichholzer, Alfredo García, Irene Parada, Birgit Vogtenhuber and Alexandra Weinberger Shooting Stars in Simple Drawings of K<sub>m</sub> <sub>,</sub> <sub>n</sub>Graph Drawing and Network Visualization - 30th International Symposium, GD 2022, Revised Selected Papers49-57
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Oswin Aichholzer, Kristin Knorr, Wolfgang Mulzer, Johannes Obenaus, Rosna Paul and Birgit Vogtenhuber Flipping Plane Spanning PathsWALCOM49-60
Publikation in PURE anzeigen
Oswin Aichholzer, Stefan Felsner, Rosna Paul, Manfred Scheucher and Birgit Vogtenhuber Bichromatic Perfect Matchings with CrossingsGraph Drawing and Network Visualization124-132
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Oswin Aichholzer, Joachim Orthaber and Birgit Vogtenhuber Towards Crossing-Free Hamiltonian Cycles in Simple Drawings of Complete GraphsProceedings of the 39th European Workshop on Computational Geometry (EuroCG 2023)33:1-33:7
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Oswin Aichholzer, Stefan Felsner, Rosna Paul, Manfred Scheucher and Birgit Vogtenhuber Bichromatic Perfect Matchings with CrossingsProceedings of the 39th European Workshop on Computational Geometry (EuroCG 2023)28:1-28:7
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Oswin Aichholzer, Alfredo García, Javier Tejel, Birgit Vogtenhuber and Alexandra Weinberger Twisted Ways to Find Plane Structures in Simple Drawings of Complete Graphs38th International Symposium on Computational Geometry (SoCG 2022)5:1--5:18
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Oswin Aichholzer, Ruy Fabila-Monroy, Philipp Kindermann, Irene Parada, Rosna Paul, Daniel Perz, Patrick Schnider and Birgit Vogtenhuber Perfect Matchings with CrossingsCombinatorial Algorithms 46-59
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Oswin Aichholzer, Johannes Obenaus, Joachim Orthaber, Rosna Paul, Patrick Schnider, Raphael Steiner, Tim Taubner and Birgit Vogtenhuber Edge Partitions of Complete Geometric Graphs38th International Symposium on Computational Geometry (SoCG 2022)6:1-6:16
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Oswin Aichholzer, Julia Obmann, Pavel Paták, Daniel Perz, Josef Tkadlec and Birgit Vogtenhuber Disjoint Compatibility via Graph ClassesGraph-Theoretic Concepts in Computer Science - 48th International Workshop, WG 2022, Revised Selected Papers16-28
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Oswin Aichholzer, Alan Arroyo, Zuzana Masárová, Irene Parada, Daniel Perz, Alexander Pilz, Josef Tkadlec and Birgit Vogtenhuber
On Compatible Matchings
Journal of Graph Algorithms and Applications
26,
225-240,
2022
, DOI
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Oswin Aichholzer, Jan Kynčl, Manfred Scheucher, Birgit Vogtenhuber and Pavel Valtr
On crossing-families in planar point sets
Computational Geometry: Theory and Applications
107,
2022
, DOI
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Oswin Aichholzer, Manuel Borrazzo, Prosenjit Bose, Jean Cardinal, Fabrizio Frati, Pat Morin and Birgit Vogtenhuber
Drawing Graphs as Spanners
Discrete and Computational Geometry
68,
774-795,
2022
, DOI
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Oswin Aichholzer, Thomas Hackl, Maarten Löffler, Alexander Pilz, Irene Parada, Manfred Scheucher and Birgit Vogtenhuber Blocking Delaunay Triangulations from ExteriorProc. 38th European Workshop on Computational Geometry (EuroCG 2022)9:1-9:7
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Oswin Aichholzer, Kristin Knorr, Maarten Löffler, Zuzana Masárová, Wolfgang Mulzer, Johannes Obenaus, Rosna Paul and Birgit Vogtenhuber Flipping Plane Spanning PathsProc. 38th European Workshop on Computational Geometry (EuroCG 2022)66:1-66:7
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Daniel Bertschinger, Henry Förster and Birgit Vogtenhuber Intersections of Double-Wedge ArrangementsProc. 38th European Workshop on Computational Geometry (EuroCG 2022)58:1-58:6
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Clemens Huemer, Deborah Oliveros, Pablo Pérez-Lantero, Ferran Torra and Birgit Vogtenhuber
On Weighted Sums of Numbers of Convex Polygons in Point Sets
Discrete & Computational Geometry
68,
448-476,
2022
, DOI
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Alan Arroyo, Fabian Klute, Irene Parada, Birgit Vogtenhuber, Raimund Seidel and Tilo Wiedera
Inserting One Edge into a Simple Drawing is Hard
Discrete & Computational Geometry
,
2022
, DOI
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Oswin Aichholzer, Man-Kwun Chiu, Phuc Hung Hoang, Michael Hoffmann, Yannic Maus, Birgit Vogtenhuber and Alexandra Weinberger Gioan’s Theorem for complete bipartite graphs
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Oswin Aichholzer, Jean Cardinal, Tony Huynh, Kolja Knauer, Torsten Mütze, Raphael Steiner and Birgit Vogtenhuber
Flip distances between graph orientations
Algorithmica
83,
116-143,
2021
, DOI
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Oswin Aichholzer, Michael Hoffmann, Johannes Obenaus, Rosna Paul, Daniel Perz, Nadja Seiferth, Birgit Vogtenhuber and Alexandra Weinberger Plane Spanning Trees in Edge-Colored Simple Drawings of KnGraph Drawing and Network Visualization - 28th International Symposium, GD 2020, Revised Selected Papers482-489
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Oswin Aichholzer, Alfredo García, Javier Tejel, Birgit Vogtenhuber and Alexandra Weinberger Plane paths in simple drawings of complete graphs
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Oswin Aichholzer, Alan Arroyo, Zuzana Masárová, Irene Parada, Daniel Perz, Alexander Pilz, Josef Tkadlec and Birgit Vogtenhuber On Compatible MatchingsWALCOM221-233
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Ruy Fabila-Monroy, Carlos Hidalgo-Toscano, Daniel Perz and Birgit Vogtenhuber No Selection Lemma for Empty TrianglesTrends in Mathematics720-725
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Ruy Fabila-Monroy, Carlos Hidalgo-Toscano, Daniel Perz and Birgit Vogtenhuber No Selection Lemma for Empty Triangles
Publikation in PURE anzeigen
Robert Ganian, Thekla Hamm, Fabian Klute, Irene Parada and Birgit Vogtenhuber Crossing-optimal extension of simple drawings48th International Colloquium on Automata, Languages, and Programming, ICALP 2021
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Man Kwun Chiu, Stefan Felsner, Manfred Scheucher, Felix Schröder, Raphael Steiner and Birgit Vogtenhuber Coloring Circle ArrangementsTrends in Mathematics84-91
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Oswin Aichholzer, Jan Kyncl, Manfred Scheucher and Birgit Vogtenhuber On 4-Crossing-Families in Point Sets and an Asymptotic Upper BoundProceedings of the 37th European Workshop on Computational Geometry (EuroCG$$2021)38:1-38:8
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David Flores-Peñaloza, Mikio Kano, Leonardo Martínez-Sandoval, David Orden, Javier Tejel, Csaba D. Tóth, Jorge Urrutia and Birgit Vogtenhuber
Rainbow polygons for colored point sets in the plane
Discrete Mathematics
344,
2021
, DOI
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Elena Arseneva, Linda Kleist, Boris Klemz, Maarten Löffler, André Schulz, Birgit Vogtenhuber and Alexander Wolff Adjacency graphs of polyhedral surfaces37th International Symposium on Computational Geometry, SoCG 2021
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Robert Ganian, Thekla Hamm, Fabian Klute, Irene Parada and Birgit Vogtenhuber Crossing-optimal extension of simple drawingsProc. XIX Encuentros de Geometría Computacional5
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Man-Kwun Chiu, Stefan Felsner, Manfred Scheucher, Felix Schröder, Raphael Steiner and Birgit Vogtenhuber Coloring Circle Arrangements: New 4-Chromatic Planar GraphsProceedings of the 37th European Workshop on Computational Geometry (EuroCG$$2021)42:1-42:7
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Oswin Aichholzer, Ruy Fabila-Monroy, Philipp Kindermann, Irene Parada, Rosna Paul, Daniel Perz, Patrick Schnider and Birgit Vogtenhuber Perfect Matchings with CrossingsProceedings of the Computational Geometry: Young Researchers Forum24-27
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Oswin Aichholzer, Maarten Löffler, Jayson Lynch, Zuzana Masárová, Joachim Orthaber, Irene Parada, Rosna Paul, Daniel Perz, Birgit Vogtenhuber and Alexandra Weinberger Dominect: A Simple yet Deep 2-Player Board Game
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Oswin Aichholzer, Alfredo García, Javier Tejel, Birgit Vogtenhuber and Alexandra Weinberger Plane Matchings in Simple Drawings of Complete GraphsPlane Matchings in Simple Drawings of Complete Graphs6-10
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Oswin Aichholzer, Alfredo García, Irene Parada, Birgit Vogtenhuber and Alexandra Weinberger Simple Drawings of Km,n Contain Shooting Stars
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Oswin Aichholzer, Martin Balko, Michael Hoffmann, Jan Kyncl, Wolfgang Mulzer, Irene Parada, Alexander Pilz, Manfred Scheucher, Pavel Valtr, Birgit Vogtenhuber and Emo Welzl
Minimal representations of order types by geometric graphs
Journal of Graph Algorithms and Applications
24,
551-572,
2020
, DOI
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O. Aichholzer, L. E. Caraballo, J.M. Díaz-Báñez, Ruy Fabila-Monroy, I. Parada, I. Ventura and B. Vogtenhuber Scheduling drones to cover outdoor eventsProceedings of the 36th European Workshop on Computational Geometry (EuroCG 2020))24:1-24:7
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Oswin Aichholzer, Manuel Borrazzo, Prosenjit Bose, Jean Cardinal, Fabrizio Frati, Pat Morin and Birgit Vogtenhuber Drawing Graphs as SpannersGraph-Theoretic Concepts in Computer Science - 46th International Workshop, WG 2020, Revised Selected Papers310-324
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Jared Coleman, Evangelos Kranakis, Oscar Morales Ponce, Jaroslav Opatrny, Jorge Urrutia and Birgit Vogtenhuber Minimizing The Maximum Distance Traveled To Form Patterns With Systems of Mobile RobotsProceedings of the 32nd Canadian Conference on Computational Geometry (CCCG 2020)73-79
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Alan Arroyo, Fabian Klute, Irene Parada, Raimund Seidel, Birgit Vogtenhuber and Tilo Wiedera Inserting one edge into a simple drawing is hardGraph-Theoretic Concepts in Computer Science - 46th International Workshop, WG 2020, Revised Selected Papers325-338
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Bahareh Banyassady, Man Kwun Chiu, Matias Korman, Wolfgang Mulzer, André van Renssen, Marcel Roeloffzen, Paul Seiferth, Yannik Stein, Birgit Vogtenhuber and Max Willert
Routing in polygonal domains
Computational Geometry: Theory and Applications
87,
2020
, DOI
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Jurek Czyzowicz, Konstantinos Georgiou, Evangelos Kranakis, Lata Narayanan, Jarda Opatrny and Birgit Vogtenhuber
Evacuating Robots from a Disk Using Face-to-Face Communication
Discrete Mathematics & Theoretical Computer Science
22,
2020
, DOI
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Oswin Aichholzer, Ruy Fabila-Monroy, Ferran Hurtado, Pablo Perez-Lantero, Andres J. Ruiz-Vargas, Jorge Urrutia Galicia and Birgit Vogtenhuber
Cross-sections of line configurations in $R^3$ and $(d-2)$-flat configurations in $R^d$
Computational Geometry
77,
51-61,
2019
, DOI
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Oswin Aichholzer, Irene Maria De Parada, Manfred Scheucher, Birgit Vogtenhuber and Alexandra Weinberger Shooting Stars in Simple Drawings of K<sub>m,n</sub>
Publikation in PURE anzeigen
Oswin Aichholzer, Matias Korman, Yoshio Okamoto, Irene Maria De Parada, Daniel Perz, André van Renssen and Birgit Vogtenhuber Graphs with large total angular resolutionGraph Drawing and Network Visualization193-199
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Oswin Aichholzer, Martin Balko, Michael Hoffmann, Jan Kynčl, Wolfgang Mulzer, Irene Parada, Alexander Pilz, Manfred Scheucher, Pavel Valtr, Birgit Vogtenhuber and Emo Welzl Minimal Representations of Order Types by Geometric GraphsGraph Drawing and Network Visualization 101-113
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Oswin Aichholzer, Ruy Fabila-Monroy, Adrian Fuchs, Carlos Hidalgo-Toscano, Irene Parada, Birgit Vogtenhuber and Francisco Zaragoza On the 2-Colored Crossing NumberProceedings of the 27th International Symposium on Graph Drawing and Network Visualization (GD 2019)87-100
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Carolina Medina, Irene Parada, Gelasio Salazar and Birgit Vogtenhuber Bounding the number of crossings for a particular class of drawings of $K_{n,n}$
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Oswin Aichholzer, Carlos Alegría, Irene Parada, Alexander Pilz, Javier Tejel, Csaba D. Tóth, Jorge Urrutia Galicia and Birgit Vogtenhuber Hamiltonian meander paths and cycles on bichromatic point sets.
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Oswin Aichholzer, Ruy Fabila-Monroy, Adrian Fuchs, Carlos Hidalgo-Toscano, Irene Parada, Birgit Vogtenhuber and Francisco Zaragoza On the 2-colored crossing number
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Oswin Aichholzer, José Miguel Díaz-Báñez, Thomas Hackl, David Orden Martín, Alexander Pilz, Inmaculada Ventura and Birgit Vogtenhuber Erdos-Szekeres-Type GamesProc. $35^th$ European Workshop on Computational Geometry EuroCG '1923:1-23:7
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Oswin Aichholzer, Linda Kleist, Boris Klemz, Felix Schröder and Birgit Vogtenhuber On the Edge-Vertex Ratio of Maximal ThracklesGraph Drawing and Network Visualization. GD 2019482-495
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Oswin Aichholzer, Thomas Hackl, Matias Korman, Alexander Pilz, André van Renssen, Marcel Roeloffzen, Günter Rote and Birgit Vogtenhuber
Packing plane spanning graphs with short edges in complete geometric graphs
Computational Geometry
782,
1-15,
2019
, DOI
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Oswin Aichholzer, Jean Cardinal, Tony Huynh, Kolja Knauer, Torsten Mütze, Raphael Steiner and Birgit Vogtenhuber Flip distances between graph orientations45th International Workshop on Graph-Theoretic Concepts in Computer Science120-134
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David Flores-Peñaloza, Mikio Kano, Leonardo Martínez-Sandoval, David Orden, Javier Tejel, Csaba D. Tóth, Jorge Urrutia and Birgit Vogtenhuber Perfect rainbow polygons for colored point sets in the planeProc. XVIII Encuentros de Geometría Computacional43-46
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David Flores-Peñaloza, Mikio Kano, Leonardo Martínez-Sandoval, David Orden, Javier Tejel, Csaba D. Tóth, Jorge Urrutia and Birgit Vogtenhuber Perfect rainbow polygons for colored point sets in the planeProc. 22nd Japan Conference on Discrete and Computational Geometry, Graphs, and Games (JCDCG3 2019)57-58
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Oswin Aichholzer, Martin Balko, Thomas Hackl, Jan Kyncl, Irene Parada, Manfred Scheucher, Pavel Valtr and Birgit Vogtenhuber
A superlinear lower bound on the number of 5-holes
Journal of Combinatorial Theory, Series A
,
1-31,
2019
, DOI
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Alan Arroyo, Fabian Klute, Irene Parada, Raimund Seidel, Birgit Vogtenhuber and Tilo Wiedera
Extending simple drawings with one edge is hard
arXiv.org e-Print archive
,
2019
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Oswin Aichholzer, Martin Balko, Thomas Hackl, Alexander Pilz, Pedro Ramos, Pavel Valtr and Birgit Vogtenhuber
Holes in 2-convex point sets
Computational Geometry
74,
38-49,
2018
, DOI
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Oswin Aichholzer, Luis Barba, Thomas Hackl, Alexander Pilz and Birgit Vogtenhuber
Linear transformation distance for bichromatic matchings
Computational Geometry
68,
77-88,
2018
, DOI
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Matias Korman, Stefan Langerman, Wolfgang Mulzer, Alexander Pilz, Maria Saumell and Birgit Vogtenhuber
The dual diameter of triangulations
Computational Geometry
68,
243-252,
2018
, DOI
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Oswin Aichholzer, Martin Balko, Thomas Hackl, Alexander Pilz, Pedro Ramos, Pavel Valtr and Birgit Vogtenhuber Holes in 2-convex point setsCombinatorial Algorithms - 28th International Workshop, IWOCA 2017, Revised Selected Papers169-181
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Oswin Aichholzer, Nieves Atienza, José M. Díaz-Báñez, Ruy Fabila-Monroy, David Flores-Peñaloza, Pablo Pérez-Lantero, Birgit Vogtenhuber and Jorge Urrutia Galicia
Computing Balanced Islands in Two Colored Point Sets in the Plane
Information Processing Letters
135,
28 - 32,
2018
, DOI
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Oswin Aichholzer, Ruy Fabila-Monroy, David Flores-Peñaloza, Thomas Hackl, Jorge Urrutia Galicia and Birgit Vogtenhuber
Modem Illumination of Monotone Polygons
Computational Geometry
68,
101-118,
2018
, DOI
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Oswin Aichholzer, Michael Kerber, István Talata and Birgit Vogtenhuber A Note on Planar Monohedral TilingsProc. 34th European Workshop on Computational Geometry EuroCG '1831:1-31:6
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Oswin Aichholzer, Wolfgang Mulzer, Partick Schnider and Birgit Vogtenhuber NP-Completeness of Max-Cut for Segment Intersection GraphsProc. $34^th$ European Workshop on Computational Geometry EuroCG '1832:1-32:6
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Oswin Aichholzer, Lukas Andritsch, Karin Baur and Birgit Vogtenhuber
Perfect $k$-Colored Matchings and $(k+2)$-Gonal Tilings
Graphs and Combinatorics
34,
1333-1346,
2018
, DOI
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John Iacono and Birgit Vogtenhuber In pursuit of a dynamic tree decompositionProceedings of the of the 21st Japan Conference on Discrete and Computational Geometry, Graphs, and Games (JCDCG^3 2018)23-25
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Jean Cardinal, Stefan Felsner, Tillmann Miltzow, Casey Tompkins and Birgit Vogtenhuber
Intersection Graphs of Rays and Grounded Segments
Journal of Graph Algorithms and Applications
22,
273-295,
2018
, DOI
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Bernardo M. Ábrego, Oswin Aichholzer, Silvia Fernández-Merchant, Dan McQuillan, Bojan Mohar, Petra Mutzel, Pedro Ramos, R. Bruce Richter and Birgit Vogtenhuber
Bishellable drawings of $K_n$
SIAM Journal on Discrete Mathematics
32,
2482-2492,
2018
, DOI
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Philipp Kindermann, Stephen Kobourov, Maarten Löffler, Martin Nöllenburg, André Schulz and Birgit Vogtenhuber Lombardi Drawings of Knots and LinksProceedings of the 25th International Symposium on Graph Drawing (GD 2017)113-126
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Oswin Aichholzer, Martin Balko, Michael Hoffmann, Jan Kyncl, Wolfgang Mulzer, Irene Parada, Alexander Pilz, Manfred Scheucher, Pavel Valtr, Birgit Vogtenhuber and Emo Welzl Minimal Geometric Graph Representations of Order Types
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O. Aichholzer, Martin Balko, T. Hackl, J. Kyncl, I. Parada, M. Scheucher, P. Valtr and B. Vogtenhuber A superlinear lower bound on the number of 5-holes33rd International Symposium on Computational Geometry (SoCG 2017)8:1-8:16
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O. Aichholzer, Martin Balko, T. Hackl, J. Kyncl, I. Parada, M. Scheucher, P. Valtr and B. Vogtenhuber A superlinear lower bound on the number of 5-holesProceedings of the 33rd European Workshop on Computational Geometry (EuroCG '17)69-73
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O. Aichholzer, L. Andritsch, K. Baur and B. Vogtenhuber Perfect $k$-colored matchings and $k+2$-gonal tilingsProc. $33^rd$ European Workshop on Computational Geometry EuroCG '1781-84
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B.M. Ábrego, O. Aichholzer, S. Fernández-Merchant, D. McQuillan, B. Mohar, P. Mutzel, P. Ramos, R.B. Richter and B. Vogtenhuber Bishellable drawings of $K_n$Proc. XVII Encuentros de Geometría Computacional17-20
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Oswin Aichholzer, Florian Ebenführer, Irene Parada, Alexander Pilz and Birgit Vogtenhuber On semi-simple drawings of the complete graphProc. XVII Encuentros de Geometría Computacional25-28
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Jean Cardinal, Stefan Felsner, Tillmann Miltzow, Casey Tompkins and Birgit Vogtenhuber Intersection Graphs of Rays and Grounded SegmentsProceedings of the International Workshop on Graph-Theoretic Concepts in Computer Science (WG 2017)153-166
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Bahareh Banyassady, Matias Korman, Wolfgang Mulzer, André van Renssen, Marcel Roeloffzen, Paul Seiferth, Yannik Stein, Birgit Vogtenhuber and Max Willert Routing in Polygonal DomainsProceedings of the of the 20th Japan Conference on Discrete and Computational Geometry, Graphs, and Games (JCDCG3$$2017)88-89
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Bahareh Banyassady, Man-Kwun Chiu, Matias Korman, Wolfgang Mulzer, André van Renssen, Marcel Roeloffzen, Paul Seiferth, Yannik Stein, Birgit Vogtenhuber and Max Willert Routing in Polygonal Domains28th International Symposium on Algorithms and Computation (ISAAC 2017)10:1-10:13
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Matias Korman, Wolfgang Mulzer, André van Renssen, Marcel Roeloffzen, Paul Seiferth, Yannik Stein, Birgit Vogtenhuber and Max Willert Routing in Simple PolygonsProceedings of the 33rd European Workshop on Computational Geometry (EuroCG$$2017)17-20
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Oswin Aichholzer, Martin Balko, Thomas Hackl, Jan Kyncl, Irene Parada, Manfred Scheucher, Pavel Valtr and Birgit Vogtenhuber A Superlinear Lower Bound on the Number of 5-Holes33rd International Symposium on Computational Geometry (SoCG 2017)8:1-8:16
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Oswin Aichholzer, Thomas Hackl, Alexander Pilz, Birgit Vogtenhuber, P. Ramos, M. Balko and Pavel Valtr Holes in two convex point setProceedings of European Workshop on Computational Geometry 2016263-266
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Oswin Aichholzer, Thomas Hackl, Matias Korman, Alexander Pilz, Günter Rote, A. van Renssen, Marcel Roeloffzen and Birgit Vogtenhuber Packing Short Plane Spanning Trees in Complete Geometric GraphsProceedings of the 27th Internationel Symposium on Algorithms and Computation9.1-9.12
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Oswin Aichholzer, Victor Alvarez, Thomas Hackl, Alexander Pilz, Bettina Speckmann and Birgit Vogtenhuber An improved lower bound on the minimum number of triangulations32nd International Symposium on Computational Geometry, SoCG 20167.1-7.16
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Oswin Aichholzer, Thomas Hackl, Pavel Valtr and Birgit Vogtenhuber A Note on the Number of General 4-holes in (Perturbed) GridsDiscrete and Computational Geometry and Graphs. JCDCGG 2015.1-12
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O. Aichholzer, F. Aurenhammer, T. Hackl, C. Huemer, A. Pilz and B. Vogtenhuber
3-Colorability of pseudo-triangulations
International Journal of Computational Geometry and Applications
,
283-298,
2015
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Oswin Aichholzer, Thomas Hackl, Sarah Lutteropp, Tamara Mchedlidze, Alexander Pilz and Birgit Vogtenhuber
Monotone Simultaneous Embedding of Upward Planar Digraphs
Journal of Graph Algorithms and Applications
19,
87-110,
2015
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Oswin Aichholzer, Thomas Hackl, Alexander Pilz, Pedro Ramos, Vera Sacristán and Birgit Vogtenhuber
Empty triangles in good drawings of the complete graph
Graphs and Combinatorics
31,
335-345,
2015
, DOI
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Oswin Aichholzer, Thomas Hackl, Birgit Vogtenhuber, R. Fabila-Monroy, Hernan Gonzales-Aguilar, Marco A. Heredia, Clemens Huemer, Jorge Urrutia and Pavel Valtr
On k-Gons and k-Holes in Point Sets
Computational Geometry
,
528-537,
2015
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Oswin Aichholzer, Thomas Hackl, Sarah Lutteropp, Tamara Mchedlidze and Birgit Vogtenhuber
Embedding Four-directional Paths on Convex Point Sets
Journal of Graph Algorithms and Applications
19,
743-759,
2015
, DOI
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Oswin Aichholzer, Thomas Hackl, Birgit Vogtenhuber and Pavel Valtr A note on the number of general 4-holes in perturbed gridsA note on the number of general 4-holes in perturbed grids68-69
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Oswin Aichholzer, Thomas Hackl, Alexander Pilz, Birgit Vogtenhuber and G. Salazar Deciding monotonicity of good drawings of the complete graphEncuentros de Geometría Computacional33-36
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Bernardo M. Ábrego, Oswin Aichholzer, Silvia Fernández-Merchant, Thomas Hackl, Jürgen Pammer, Alexander Pilz, Pedro Ramos, Gelasio Salazar and Birgit Vogtenhuber All Good Drawings of Small Complete GraphsCollection of Abstracts of the 31st European Workshop on Computational Geometry 201557-60
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Oswin Aichholzer, Thomas Hackl, Birgit Vogtenhuber, T. Biedl, M. Held, S. Huber and P. Palfrader Representing Directed Trees as Straight SkeletonsInternational Symposium on Graph Drawing335-347
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I. Bárány, Ruy Fabila-Monroy and Birgit Vogtenhuber
(n,m)-fold covers of spheres
Proceedings of the Steklov Institute of Mathematics
288,
203-208,
2015
, DOI
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Oswin Aichholzer, Ruy Fabila-Monroy, Hernán González-Aguilar, Thomas Hackl, Marco A. Heredia, Clemens Huemer, Jorge Urrutia and Birgit Vogtenhuber
4-Holes in Point Sets
Computational Geometry
47,
644-650,
2014
, DOI
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Oswin Aichholzer, Jean Cardinal, Thomas Hackl, Ferran Hurtado, Matias Korman, Alexander Pilz, Rodrigo Silveira, Ryuhei Uehara, Pavel Valtr, Birgit Vogtenhuber and Emo Welzl
Cell-Paths in Mono- and Bichromatic Line Arrangements in the Plane
Discrete Mathematics & Theoretical Computer Science
16,
317-332,
2014
, DOI
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Oswin Aichholzer, Thomas Hackl, David Orden, Alexander Pilz, Maria Saumell and Birgit Vogtenhuber
Flips in combinatorial pointed pseudo-triangulations with face degree at most four
International Journal of Computational Geometry and Applications
24,
197-224,
2014
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Oswin Aichholzer, Thomas Hackl, Matias Korman, Alexander Pilz and Birgit Vogtenhuber
Geodesic-preserving polygon simplification
International Journal of Computational Geometry and Applications
24,
307-323,
2014
, DOI
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Oswin Aichholzer, Ruy Fabila-Monroy, Thomas Hackl, Clemens Huemer, Alexander Pilz and Birgit Vogtenhuber
Lower bounds for the number of small convex k-holes
Computational Geometry
47,
605-613,
2014
, DOI
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Oswin Aichholzer, Matias Korman, Alexander Pilz and Birgit Vogtenhuber
Geodesic Order Types
Algorithmica
70,
112-128,
2014
, DOI
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O. Aichholzer, F. Aurenhammer, T. Hackl, F. Hurtado, A. Pilz, P. Ramos, J. Urrutia, P. Valtr and B. Vogtenhuber
On k-convex point sets
Computational Geometry: Theory and Applications
47,
809-832,
2014
, DOI
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Oswin Aichholzer, Thomas Hackl, Michael Hoffmann, Alexander Pilz, Günter Rote, Bettina Speckmann and Birgit Vogtenhuber
Plane graphs with parity constraints
Graphs and Combinatorics
30,
47-69,
2014
, DOI
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Oswin Aichholzer, Luis Barba, Thomas Hackl, Alexander Pilz and Birgit Vogtenhuber Linear Transformation Distance for Bichromatic MatchingsProceedings of the Thirtyth Annual Symposium on Computational Geometry (SCG '14)154-162
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Matias Korman, Langerman Stefan, Wolfgang Mulzer, Alexander Pilz and Birgit Vogtenhuber Minimum Dual Diameter TriangulationsEuropean Workshop on Computational Geometry0-0
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Oswin Aichholzer, Ruy Fabila-Monroy, Ferran Hurtado, Pablo Perez-Lantero, Andres Ruiz-Vargas, Jorge Urrutia and Birgit Vogtenhuber Order types and cross-sections of line arrangements in R3(Kopie von) Proc. 26th Annual Canadian Conference on Computational Geometry CCCG 2014online-only
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Oswin Aichholzer, Thomas Hackl, Sarah Lutteropp, Tamara Mchedlidze and Birgit Vogtenhuber Embedding Four-directional Paths on Convex Point SetsProc. 22nd International Symposium on Graph Drawing (GD 2014)355-366
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Bernardo Ábrego, Oswin Aichholzer, Silvia Fernández-Merchant, Pedro Ramos and Birgit Vogtenhuber Non-Shellable Drawings of Kn with Few CrossingsProc. 26th Annual Canadian Conference on Computational Geometry CCCG 2014online-only
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Oswin Aichholzer, Thomas Hackl, Alexander Pilz, Sarah Lutteropp, Tamara Mchedlidze and Birgit Vogtenhuber Monotone Simultaneous Embedding of Directed PathsCollection of Abstracts of the 30th European Workshop on Computational Geometry 20140-0
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Oswin Aichholzer, Thomas Hackl, Stefan Huber and Birgit Vogtenhuber Straight Skeletons by Means of Voronoi Diagrams Under Polyhedral Distance FunctionsProc. 26th Annual Canadian Conference on Computational Geometry CCCG 2014online-only
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Oswin Aichholzer, Ruy Fabila-Monroy, Ferran Hurtado, Pablo Pérez-Lantero, Andres J. Ruiz-Vargas, Jorge Urrutia and Birgit Vogtenhuber Order types and cross-sections of line arrangements in ℝ<sup>3</sup>26th Canadian Conference on Computational Geometry, CCCG 2014267-272
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Oswin Aichholzer, Thomas Hackl, Michael Hoffmann, Clemens Huemer, Attila Por, Francisco Santos, Bettina Speckmann and Birgit Vogtenhuber
Maximizing maximal angles for plane straight line graphs
Computational Geometry
46,
17-28,
2013
, DOI
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Oswin Aichholzer, Jorge Urrutia and Birgit Vogtenhuber
Balanced 6-holes in linearly separable bichromatic point sets.
Electronic Notes in Discrete Mathematics
44,
181-186,
2013
, DOI
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Oswin Aichholzer, Ruy Fabila-Monroy, Thomas Hackl, Marc van Kreveld, Alexander Pilz, Pedro Ramos and Birgit Vogtenhuber
Blocking delaunay triangulations
Computational Geometry
46,
154-159,
2013
, DOI
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Oswin Aichholzer, Jean Cardinal, Thomas Hackl, Ferran Hurtado, Matias Korman, Alexander Pilz, Rodrigo Silveira, Ryuhei Uehara, Birgit Vogtenhuber and Emo Welzl Cell-paths in mono- and bichromatic line arrangements in the plane25th Canadian Conference on Computational Geometry169-174
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Oswin Aichholzer, Thomas Hackl, Vera Sacristán, Birgit Vogtenhuber and Reinhard Wallner Simulating distributed algorithms for lattice agentsXV Spanish Meeting on Computational Geometry (2013)81-84
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Oswin Aichholzer, J. Urrutia and Birgit Vogtenhuber Balanced 6-holes in bichromatic point sets.Japanese Conference on Discrete and Computational Geometry5-6
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Oswin Aichholzer, Thomas Hackl, David Orden, Alexander Pilz, Maria Saumell and Birgit Vogtenhuber Flips in combinatorial pointed pseudo-triangulations with face degree at most four (extended abstract)XV Spanish Meeting on Computational Geometry131-134
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Oswin Aichholzer, Thomas Hackl, Alexander Pilz, Pedro Ramos, Vera Sacristán and Birgit Vogtenhuber Empty triangles in good drawings of the complete graphMexican Conference on Discrete Mathematics and Computational Geometry21-29
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Oswin Aichholzer, Thomas Hackl, Matias Korman, Alexander Pilz and Birgit Vogtenhuber Geodesic-preserving polygon simplificationAlgorithms and Computation, 24th International Symposium11-21
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Oswin Aichholzer, Günter Rote, André Schulz and Birgit Vogtenhuber
Pointed drawings of planar graphs
Computational Geometry
,
482-494,
2012
, DOI
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Oswin Aichholzer, Thomas Hackl and Birgit Vogtenhuber
On 5-gons and 5-holes
Lecture Notes in Computer Science
7579,
1-13,
2012
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Oswin Aichholzer, Ruy Fabila-Monroy, Thomas Hackl, Clemens Huemer, Alexander Pilz and Birgit Vogtenhuber Lower bounds for the number of small convex k-holesProc. 24th Annual Canadian Conference on Computational Geometry CCCG 2012261-266
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Oswin Aichholzer, Ferran Hurtado and Birgit Vogtenhuber Compatible matchings for bichromatic plane straight-line graphs28th European Workshop on Computational Geometry, Booklet of Abstracts257-260
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Oswin Aichholzer, Matias Korman, Alexander Pilz and Birgit Vogtenhuber Geodesic order typesProc. 18th Annual International Computing and Combinatorics Conference (COCOON '12),216-227
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Birgit Vogtenhuber Combinatorial Aspects of [Colored] Point Sets in the Plane
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Oswin Aichholzer, Ruy Fabila-Monroy, Hernán González-Aguilar, Thomas Hackl, Marco A. Heredia, Clemens Huemer, Jorge Urrutia, Pavel Valtr and Birgit Vogtenhuber On k-Gons and k-Holes in Point SetsProc. 23nd Annual Canadian Conference on Computational Geometry CCCG 201121-26
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Oswin Aichholzer, Ruy Fabila-Monroy, Hernán González-Aguilar, Thomas Hackl, Marco A. Heredia, Clemens Huemer, Jorge Urrutia and Birgit Vogtenhuber 4-Holes in Point SetsCollection of Abstracts of the 27th European Workshop on Computational Geometry 2011115-118
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Oswin Aichholzer, Thomas Hackl and Birgit Vogtenhuber On 5-gons and 5-holesProceedings of XIV Encuentros de Geometría Computacional 20117-10
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Oswin Aichholzer, Thomas Hackl, Clemens Huemer, Ferran Hurtado and Birgit Vogtenhuber
Large bichromatic point sets admit empty monochromatic 4-gons
SIAM Journal on Discrete Mathematics
23,
2147-2155,
2010
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O. Aichholzer, F. Aurenhammer, T. Hackl, C. Huemer, A. Pilz and B. Vogtenhuber 3-Colorability of pseudo-triangulationsProc. 26th European Workshop on Computational Geometry (EuroCG'10)21-24
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Oswin Aichholzer, Thomas Hackl and Birgit Vogtenhuber Compatible pointed pseudo-triangulationsProc. 22nd Annual Canadian Conference on Computational Geometry CCCG 201091-94
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Oswin Aichholzer, Ruy Fabila-Monroy, Thomas Hackl, Marc van Kreveld, Alexander Pilz, Pedro Ramos and Birgit Vogtenhuber Blocking delaunay triangulationsProc. 22nd Annual Canadian Conference on Computational Geometry CCCG 201021-24
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