IST - Publications

2021

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 Show publication in PURE

Ruy Fabila-Monroy, Carlos Hidalgo-Toscano, Daniel Perz and Birgit Vogtenhuber No Selection Lemma for Empty Triangles Show publication in PURE

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 Show publication in PURE

Man Kwun Chiu, Stefan Felsner, Manfred Scheucher, Felix Schröder, Raphael Steiner and Birgit Vogtenhuber Coloring Circle ArrangementsTrends in Mathematics84-91 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

Oswin Aichholzer, Alfredo García, Javier Tejel, Birgit Vogtenhuber and Alexandra Weinberger Plane paths in simple drawings of complete graphs Show publication in PURE

Oswin Aichholzer, Alfredo García, Javier Tejel, Birgit Vogtenhuber and Alexandra Weinberger Plane Matchings in Simple Drawings of Complete GraphsAbstracts of the Young Researchers Forum of the 37th International Symposium on Computational Geometry (SoCG:YRF 2021)6-10 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

Robert Ganian, Thekla Hamm, Fabian Klute, Irene Parada and Birgit Vogtenhuber Crossing-optimal extension of simple drawingsProc. XIX Encuentros de Geometría Computacional5 Show publication in PURE

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 Show publication in PURE

Oswin Aichholzer, Alan Arroyo, Zuzana Masárová, Irene Parada, Daniel Perz, Alexander Pilz, Josef Tkadlec and Birgit Vogtenhuber On Compatible MatchingsWALCOM221-233 Show publication in PURE

Ruy Fabila-Monroy, Carlos Hidalgo-Toscano, Daniel Perz and Birgit Vogtenhuber No Selection Lemma for Empty TrianglesTrends in Mathematics720-725 Show publication in PURE

Oswin Aichholzer, Maarten Löffler, Jayson Lynch, Zuzana Masárová, Joachim Rupert Orthaber, Irene Parada, Rosna Paul, Daniel Perz, Birgit Vogtenhuber and Alexandra Weinberger Dominect: a simple yet deep 2-player board game Show publication in PURE

Rosna Paul, Oswin Aichholzer, Birgit Vogtenhuber, Daniel Perz, Ruy Fabila-Monroy, Irene Parada, Philipp Kindermann and Patrick Schnider Perfect Matchings with crossings Show publication in PURE

2020

Oswin Aichholzer, Alfredo García, Irene Parada, Birgit Vogtenhuber and Alexandra Weinberger Simple Drawings of Km,n Contain Shooting Stars Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

2019

Oswin Aichholzer, Irene Maria De Parada, Manfred Scheucher, Birgit Vogtenhuber and Alexandra Weinberger Shooting Stars in Simple Drawings of K<sub>m,n</sub> Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Graphs Proceedings of the 27th International Symposium on Graph Drawing and Network Visualization (GD 2019)101-113 Show publication in PURE

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 Show publication in PURE

Carolina Medina, Irene Parada, Gelasio Salazar and Birgit Vogtenhuber Bounding the number of crossings for a particular class of drawings of $K_{n,n}$ Show publication in PURE

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. Show publication in PURE

Oswin Aichholzer, Ruy Fabila-Monroy, Adrian Fuchs, Carlos Hidalgo-Toscano, Irene Parada, Birgit Vogtenhuber and Francisco Zaragoza On the 2-colored crossing number Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

Clemens Huemer, Deborah Oliveros, Pablo PLantero, Ferran Torra and Birgit Vogtenhuber On weighted sums of numbers of convex polygons in point sets Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

2018

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

Oswin Aichholzer, Luis Barba, Thomas Hackl, Alexander Pilz and Birgit Vogtenhuber Linear transformation distance for bichromatic matchings Computational Geometry 68, 77-88, 2018 , DOI Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

2017

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

2016

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 Show publication in PURE

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 Show publication in PURE

Oswin Aichholzer, Thomas Hackl, Alexander Pilz, Birgit Vogtenhuber, V. Alvarez and B. Speckmann An improved lower bound on the number of triangulationsProceedings of the Int. Sympos. Comput. Geom. (SoCG) of Leibniz International Proceedings in Informatics7:1-7:16 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

2015

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 Show publication in PURE

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 , DOI Show publication in PURE

Oswin Aichholzer, Thomas Hackl, Alexander Pilz, Birgit Vogtenhuber and G. Salazar Deciding monotonicity of good drawings of the complete graphEncuentros de Geometría Computacional33-36 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

2014

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 Show publication in PURE

Oswin Aichholzer, Matias Korman, Alexander Pilz and Birgit Vogtenhuber Geodesic Order Types Algorithmica 70, 112-128, 2014 , DOI Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 , DOI Show publication in PURE

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 Show publication in PURE

Matias Korman, Langerman Stefan, Wolfgang Mulzer, Alexander Pilz and Birgit Vogtenhuber Minimum Dual Diameter TriangulationsEuropean Workshop on Computational Geometry0-0 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

2013

Oswin Aichholzer, J. Urrutia and Birgit Vogtenhuber Balanced 6-holes in bichromatic point sets.Japanese Conference on Discrete and Computational Geometry5-6 Show publication in PURE

Oswin Aichholzer, Thomas Hackl, Michael Hoffmann, Clemens Huemer, Francisco Santos, Bettina Speckmann and Birgit Vogtenhuber Maximizing maximal angles for plane straight line graphs Computational Geometry 46, 17-28, 2013 , DOI Show publication in PURE

Oswin Aichholzer, J. Urrutia and Birgit Vogtenhuber Balanced 6-holes in linearly separable bichromatic point sets. Electronic Notes in Discrete Mathematics 44, 181-186, 2013 , DOI Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

Oswin Aichholzer, Thomas Hackl, Matias Korman, Alexander Pilz and Birgit Vogtenhuber Geodesic-preserving polygon simplificationAlgorithms and Computation, 24th International Symposium11-21 Show publication in PURE

2012

Oswin Aichholzer, Thomas Hackl and Birgit Vogtenhuber On 5-gons and 5-holes Lecture notes in computer science 7579, 1-13, 2012 Show publication in PURE

Oswin Aichholzer, Ferran Hurtado and Birgit Vogtenhuber Compatible matchings for bichromatic plane straight-line graphs28th European Workshop on Computational Geometry, Booklet of Abstracts257-260 Show publication in PURE

Oswin Aichholzer, Günter Rote, André Schulz and Birgit Vogtenhuber Pointed drawings of planar graphs Computational Geometry , 482-494, 2012 , DOI Show publication in PURE

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 Show publication in PURE

Oswin Aichholzer, Matias Korman, Alexander Pilz and Birgit Vogtenhuber Geodesic order typesProc. 18th Annual International Computing and Combinatorics Conference (COCOON '12),216-227 Show publication in PURE

2011

Birgit Vogtenhuber Combinatorial Aspects of [Colored] Point Sets in the Plane Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

Oswin Aichholzer, Thomas Hackl and Birgit Vogtenhuber On 5-gons and 5-holesProceedings of XIV Encuentros de Geometría Computacional 20117-10 Show publication in PURE

2010

Oswin Aichholzer, Thomas Hackl and Birgit Vogtenhuber Compatible pointed pseudo-triangulationsProc. 22nd Annual Canadian Conference on Computational Geometry CCCG 201091-94 Show publication in PURE

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 Show publication in PURE

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 Show publication in PURE

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 , DOI Show publication in PURE