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1

Enumerating Order Types for Small Point Sets with Applications

Oswin Aichholzer, Franz Aurenhammer, Hannes Krasser

Journal:

Year:

2002

Language:

english

File:

PDF, 131 KB

english, 2002

2

New Lower Bounds for the Number of (≤ k)-Edges and the Rectilinear Crossing Number of Kn

Oswin Aichholzer, Jesus Garcia, David Orden, Pedro Ramos

Journal:

Discrete & Computational Geometry

Year:

2007

Language:

english

File:

PDF, 213 KB

english, 2007

3

[ACM Press the 25th annual symposium - Aarhus, Denmark (2009.06.08-2009.06.10)] Proceedings of the 25th annual symposium on Computational geometry - SCG '09 - Divide-and-conquer for Voronoi diagrams revisited

Aichholzer, Oswin, Aigner, Wolfgang, Aurenhammer, Franz, Hackl, Thomas, Jüttler, Bert, Pilgerstorfer, Elisabeth, Rabl, Margot

Year:

2009

Language:

english

File:

PDF, 915 KB

english, 2009

4

Reconfiguring convex polygons

Oswin Aichholzer, Erik D. Demaine, Jeff Erickson, Ferran Hurtado, Mark Overmars, Michael Soss, Godfried T. Toussaint

Journal:

Computational Geometry

Year:

2001

Language:

english

File:

PDF, 138 KB

english, 2001

5

Folding polyominoes with holes into a cube

Aichholzer, Oswin, Akitaya, Hugo A., Cheung, Kenneth C., Demaine, Erik D., Demaine, Martin L., Fekete, SÃ¡ndor P., Kleist, Linda, Kostitsyna, Irina, LÃ¶ffler, Maarten, MasÃ¡rovÃ¡, Zuzana, Mundilova, K

Journal:

Computational Geometry

Year:

2021

File:

PDF, 475 KB

2021

6

Divide-and-conquer for Voronoi diagrams revisited

Oswin Aichholzer, Wolfgang Aigner, Franz Aurenhammer, Thomas Hackl, Bert Jüttler, Elisabeth Pilgerstorfer, Margot Rabl

Journal:

Computational Geometry

Year:

2010

Language:

english

File:

PDF, 779 KB

english, 2010

7

On k-convex polygons

Oswin Aichholzer, Franz Aurenhammer, Erik D. Demaine, Ferran Hurtado, Pedro Ramos, Jorge Urrutia

Journal:

Computational Geometry

Year:

2012

Language:

english

File:

PDF, 345 KB

english, 2012

8

COMPUTATIONAL AND STRUCTURAL ADVANTAGES OF CIRCULAR BOUNDARY REPRESENTATION

AICHHOLZER, OSWIN, AURENHAMMER, FRANZ, HACKL, THOMAS, JÜTTLER, BERT, RABL, MARGOT, ŠÍR, ZBYNEK

Journal:

International Journal of Computational Geometry & Applications

Year:

2011

Language:

english

File:

PDF, 390 KB

english, 2011

9

A superlinear lower bound on the number of 5-holes

Aichholzer, Oswin, Balko, Martin, Hackl, Thomas, KynÄl, Jan, Parada, Irene, Scheucher, Manfred, Valtr, Pavel, Vogtenhuber, Birgit

Journal:

Journal of Combinatorial Theory, Series A

Year:

2020

File:

PDF, 792 KB

2020

10

Games on triangulations

Oswin Aichholzer, David Bremner, Erik D. Demaine, Ferran Hurtado, Evangelos Kranakis, Hannes Krasser, Suneeta Ramaswami, Saurabh Sethia, Jorge Urrutia

Journal:

Theoretical Computer Science

Year:

2005

Language:

english

File:

PDF, 323 KB

english, 2005

11

Improved upper bounds on the reflexivity of point sets

Eyal Ackerman, Oswin Aichholzer, Balázs Keszegh

Journal:

Computational Geometry

Year:

2009

Language:

english

File:

PDF, 218 KB

english, 2009

12

The 2-Page Crossing Number of(K_{n})

Bernardo M. Ábrego, Oswin Aichholzer…

Journal:

Discrete & Computational Geometry

Year:

2013

Language:

english

File:

PDF, 859 KB

english, 2013

13

Reprint of: Theta-3 is connected

Aichholzer, Oswin, Bae, Sang Won, Barba, Luis, Bose, Prosenjit, Korman, Matias, van Renssen, André, Taslakian, Perouz, Verdonschot, Sander

Journal:

Computational Geometry

Year:

2015

Language:

english

File:

PDF, 230 KB

english, 2015

14

[ACM Press the 2012 symposuim - Chapel Hill, North Carolina, USA (2012.06.17-2012.06.20)] Proceedings of the 2012 symposuim on Computational Geometry - SoCG '12 - The 2-page crossing number of K n

Ábrego, Bernardo, Aichholzer, Oswin, Fernández-Merchant, Silvia, Ramos, Pedro, Salazar, Gelasio

Year:

2012

Language:

english

File:

PDF, 416 KB

english, 2012

15

Sequences of spanning trees and a fixed tree theorem

Oswin Aichholzer, Franz Aurenhammer, Ferran Hurtado

Journal:

Computational Geometry

Year:

2002

Language:

english

File:

PDF, 367 KB

english, 2002

16

Triangulations without pointed spanning trees

Oswin Aichholzer, Clemens Huemer, Hannes Krasser

Journal:

Computational Geometry

Year:

2008

Language:

english

File:

PDF, 288 KB

english, 2008

17

Pseudotriangulations from Surfaces and a Novel Type of Edge Flip

Aichholzer, Oswin, Aurenhammer, Franz, Krasser, Hannes, Brass, Peter

Journal:

SIAM Journal on Computing

Year:

2003

Language:

english

File:

PDF, 316 KB

english, 2003

18

Computing balanced islands in two colored point sets in the plane

Aichholzer, Oswin, Atienza, Nieves, Díaz-Báñez, José M., Fabila-Monroy, Ruy, Flores-Peñaloza, David, Pérez-Lantero, Pablo, Vogtenhuber, Birgit, Urrutia, Jorge

Journal:

Information Processing Letters

Year:

2018

Language:

english

File:

PDF, 288 KB

english, 2018

19

4-Holes in point sets

Aichholzer, Oswin, Fabila-Monroy, Ruy, González-Aguilar, Hernán, Hackl, Thomas, Heredia, Marco A., Huemer, Clemens, Urrutia, Jorge, Vogtenhuber, Birgit

Journal:

Computational Geometry

Year:

2014

Language:

english

File:

PDF, 253 KB

english, 2014

20

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

Aichholzer, Oswin, Mulzer, Wolfgang, Pilz, Alexander

Journal:

Discrete & Computational Geometry

Year:

2015

Language:

english

File:

PDF, 747 KB

english, 2015

21

Towards compatible triangulations

Oswin Aichholzer, Franz Aurenhammer, Ferran Hurtado, Hannes Krasser

Journal:

Theoretical Computer Science

Year:

2003

Language:

english

File:

PDF, 147 KB

english, 2003

22

Geodesic Order Types

Aichholzer, Oswin, Korman, Matias, Pilz, Alexander, Vogtenhuber, Birgit

Journal:

Year:

2014

Language:

english

File:

PDF, 712 KB

english, 2014

23

SMALL-QUANTITY BLOOD TESTS FOR SYPHILIS

Aichholzer, Oswin, Fabila-Monroy, Ruy, González-Aguilar, Hernán, Hackl, Thomas, Heredia, Marco A., Huemer, Clemens, Urrutia, Jorge, Vogtenhuber, Birgit

Journal:

Year:

1953

Language:

english

File:

PDF, 213 KB

english, 1953

24

Reconstructing Point Set Order Types from Radial Orderings

Aichholzer, Oswin, Cardinal, Jean, Kusters, Vincent, Langerman, Stefan, Valtr, Pavel

Journal:

International Journal of Computational Geometry & Applications

Year:

2016

Language:

english

File:

PDF, 617 KB

english, 2016

25

Linear transformation distance for bichromatic matchings

Aichholzer, Oswin, Barba, Luis, Hackl, Thomas, Pilz, Alexander, Vogtenhuber, Birgit

Journal:

Computational Geometry

Year:

2017

Language:

english

File:

PDF, 801 KB

english, 2017

26

Compatible geometric matchings

Oswin Aichholzer, Sergey Bereg, Adrian Dumitrescu, Alfredo García, Clemens Huemer, Ferran Hurtado, Mikio Kano, Alberto Márquez, David Rappaport, Shakhar Smorodinsky, Diane Souvaine, Jorge Urrutia, Dav

Journal:

Computational Geometry

Year:

2009

Language:

english

File:

PDF, 578 KB

english, 2009

27

5043271 DNA encoding Rabbit TNE, vector having said DNA inserted thereinto, host transformed with said vector, rabbit TNF polypeptide, and process for production thereof

Aichholzer, Oswin, Fabila-Monroy, Ruy, González-Aguilar, Hernán, Hackl, Thomas, Heredia, Marco A., Huemer, Clemens, Urrutia, Jorge, Vogtenhuber, Birgit

Journal:

Biotechnology Advances

Year:

1992

Language:

english

File:

PDF, 63 KB

english, 1992

28

[ACM Press the nineteenth conference - San Diego, California, USA (2003.06.08-2003.06.10)] Proceedings of the nineteenth conference on Computational geometry - SCG '03 - Spatial embedding of pseudo-triangulations

Aichholzer, Oswin, Aurenhammer, Franz, Braay, Peter

Year:

2003

Language:

english

File:

PDF, 251 KB

english, 2003

29

[ACM Press the eighteenth annual symposium - Barcelona, Spain (2002.06.05-2002.06.07)] Proceedings of the eighteenth annual symposium on Computational geometry - SCG '02 - Quickest paths, straight skeletons, and the city Voronoi diagram

Aichholzer, Oswin, Aurenhammer, Franz, Palop, Belén

Year:

2002

Language:

english

File:

PDF, 176 KB

english, 2002

30

Perfect k-Colored Matchings and $$(k+2)$$(k+2)-Gonal Tilings

Aichholzer, Oswin, Andritsch, Lukas, Baur, Karin, Vogtenhuber, Birgit

Journal:

Graphs and Combinatorics

Year:

2018

Language:

english

File:

PDF, 880 KB

english, 2018

31

On the Number of Plane Geometric Graphs

Oswin Aichholzer, Thomas Hackl, Clemens Huemer, Ferran Hurtado, Hannes Krasser, Birgit Vogtenhuber

Journal:

Graphs and Combinatorics

Year:

2007

Language:

english

File:

PDF, 262 KB

english, 2007

32

Lower bounds for the number of small convex k-holes

Aichholzer, Oswin, Fabila-Monroy, Ruy, Hackl, Thomas, Huemer, Clemens, Pilz, Alexander, Vogtenhuber, Birgit

Journal:

Computational Geometry

Year:

2014

Language:

english

File:

PDF, 308 KB

english, 2014

33

[ACM Press the fifteenth annual symposium - Miami Beach, Florida, United States (1999.06.13-1999.06.16)] Proceedings of the fifteenth annual symposium on Computational geometry - SCG '99 - The path of a triangulation

Aichholzer, Oswin

Year:

1999

Language:

english

File:

PDF, 889 KB

english, 1999

34

Empty monochromatic triangles

Oswin Aichholzer, Ruy Fabila-Monroy, David Flores-Peñaloza, Thomas Hackl, Clemens Huemer, Jorge Urrutia

Journal:

Computational Geometry

Year:

2009

Language:

english

File:

PDF, 217 KB

english, 2009

35

A quadratic distance bound on sliding between crossing-free spanning trees

Oswin Aichholzer, Klaus Reinhardt

Journal:

Computational Geometry

Year:

2007

Language:

english

File:

PDF, 237 KB

english, 2007

36

Classifying Hyperplanes in Hypercubes

Aichholzer, Oswin, Aurenhammer, Franz

Journal:

SIAM Journal on Discrete Mathematics

Year:

1996

Language:

english

File:

PDF, 1.09 MB

english, 1996

37

[ACM Press the seventeenth annual symposium - Medford, Massachusetts, United States (2001..-..)] Proceedings of the seventeenth annual symposium on Computational geometry - SCG '01 - Enumerating order types for small sets with applications

Aichholzer, Oswin, Aurenhammer, Franz, Krasser, Hannes

Year:

2001

Language:

english

File:

PDF, 209 KB

english, 2001

38

Packing plane spanning trees and paths in complete geometric graphs

Aichholzer, Oswin, Hackl, Thomas, Korman, Matias, van Kreveld, Marc, Löffler, Maarten, Pilz, Alexander, Speckmann, Bettina, Welzl, Emo

Journal:

Information Processing Letters

Year:

2017

Language:

english

File:

PDF, 349 KB

english, 2017

39

Plane Graphs with Parity Constraints

Oswin Aichholzer, Thomas Hackl, Michael Hoffmann…

Journal:

Graphs and Combinatorics

Year:

2014

Language:

english

File:

PDF, 907 KB

english, 2014

40

Shellable Drawings and the Cylindrical Crossing Number of\(K_{n}\)

Ábrego, Bernardo M., Aichholzer, Oswin, Fernández-Merchant, Silvia, Ramos, Pedro, Salazar, Gelasio

Journal:

Discrete & Computational Geometry

Year:

2014

Language:

english

File:

PDF, 375 KB

english, 2014

41

[ACM Press the thirteenth annual symposium - Nice, France (1997.06.04-1997.06.06)] Proceedings of the thirteenth annual symposium on Computational geometry - SCG '97 - Voronoi diagrams for direction-sensitive distances

Aichholzer, Oswin, Chen, Danny Z., Lee, D. T., Mukhopadhyay, Asish, Papadopoulou, Evanthia, Aurenhammer, Franz

Year:

1997

Language:

english

File:

PDF, 637 KB

english, 1997

42

Convexity minimizes pseudo-triangulations

Oswin Aichholzer, Franz Aurenhammer, Hannes Krasser, Bettina Speckmann

Journal:

Computational Geometry

Year:

2004

Language:

english

File:

PDF, 204 KB

english, 2004

43

Flip Graphs of Bounded Degree Triangulations

Oswin Aichholzer, Thomas Hackl, David Orden, Pedro Ramos…

Journal:

Graphs and Combinatorics

Year:

2013

Language:

english

File:

PDF, 473 KB

english, 2013

44

Theta-3 is connected

Aichholzer, Oswin, Bae, Sang Won, Barba, Luis, Bose, Prosenjit, Korman, Matias, van Renssen, André, Taslakian, Perouz, Verdonschot, Sander

Journal:

Computational Geometry

Year:

2014

Language:

english

File:

PDF, 341 KB

english, 2014

45

ON FLIPS IN POLYHEDRAL SURFACES

AICHHOLZER, OSWIN, ALBOUL, LYUBA S., HURTADO, FERRAN

Journal:

International Journal of Foundations of Computer Science

Year:

2002

Language:

english

File:

PDF, 1.12 MB

english, 2002

46

On k-gons and k-holes in point sets

Aichholzer, Oswin, Fabila-Monroy, Ruy, González-Aguilar, Hernán, Hackl, Thomas, Heredia, Marco A., Huemer, Clemens, Urrutia, Jorge, Valtr, Pavel, Vogtenhuber, Birgit

Journal:

Computational Geometry

Year:

2015

Language:

english

File:

PDF, 702 KB

english, 2015

47

On the number of pseudo-triangulations of certain point sets

Oswin Aichholzer, David Orden, Francisco Santos, Bettina Speckmann

Journal:

Journal of Combinatorial Theory, Series A

Year:

2008

Language:

english

File:

PDF, 540 KB

english, 2008

48

New results on MWT subgraphs

Oswin Aichholzer, Franz Aurenhammer, Reinhard Hainz

Journal:

Information Processing Letters

Year:

1999

Language:

english

File:

PDF, 488 KB

english, 1999

49

Constant-Level Greedy Triangulations Approximate the MWT Well

Oswin Aichholzer, Franz Aurenhammer, Günter Rote, Yin-Feng Xu

Journal:

Journal of Combinatorial Optimization

Year:

1998

Language:

english

File:

PDF, 79 KB

english, 1998

50

On k-convex point sets

Aichholzer, Oswin, Aurenhammer, Franz, Hackl, Thomas, Hurtado, Ferran, Pilz, Alexander, Ramos, Pedro, Urrutia, Jorge, Valtr, Pavel, Vogtenhuber, Birgit

Journal:

Computational Geometry

Year:

2014

Language:

english

File:

PDF, 620 KB

english, 2014

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