Complexity Inside NP - A Computational Geometry Perspective

Project Information

CGinsideNP

Grant agreement ID: 757609

DOI

10.3030/757609

Project closed

EC signature date 20 September 2017

Start date 1 February 2018

End date 31 May 2023

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 486 800,00

EU contribution

€ 1 486 800,00

Coordinated by

FREIE UNIVERSITAET BERLIN
Germany

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Conference proceedings (33)

Long plane trees

Author(s): Cabello, Sergio; Hoffmann, Michael; Klost, Katharina; Mulzer, Wolfgang; Tkadlec, Josef
Published in: EuroCG 2021, 2021
Publisher: EuroCG Workshop

Drawings of Complete Multipartite Graphs up to Triangle Flips

Author(s): Oswin Aichholzer, Man-Kwun Chiu, Hung P. Hoang, Michael Hoffmann, Jan Kyncl, Yannic Maus, Birgit Vogtenhuber, Alexandra Weinberger
Published in: SoCG 2023, 2023, Page(s) 6:1-6:16
Publisher: LIPIcs
DOI: 10.4230/lipics.socg.2023.6

Unique Sink Orientations of Grids is in Unique End of Potential Line

Author(s): Michaela Borzechowski and Wolfgang Mulzer
Published in: EuroCG 2022, 2022, Page(s) 34:134:8
Publisher: University of Perugia

Distance bounds for high dimensional consistent digital rays and 2-D partially-consistent digital rays

Author(s): Chiu, Man-Kwun; Korman, Matias; Suderland, Martin; Tokuyama, Takeshi
Published in: ESA 2020, 2020, Page(s) 34:1-34:22
Publisher: LIPIcs
DOI: 10.4230/lipics.esa.2020.34

Long plane trees

Author(s): Cabello, Sergio; Hoffmann, Michael; Klost, Katharina; Mulzer, Wolfgang; Tkadlec, Josef
Published in: Proceedings of the 38th International Symposium on Computational Geometry (SoCG), Issue 224, 2022, Page(s) 23:1-23:17
Publisher: LIPIcs
DOI: 10.48550/arxiv.2101.00445

Edge Partitions of Complete Geometric Graphs

Author(s): Oswin Aichholzer, Johannes Obenaus, Joachim Orthaber, Rosna Paul, Patrick Schnider, Raphael Steiner, Tim Taubner, Birgit Vogtenhuber
Published in: 38th International Symposium on Computational Geometry, 2022, Page(s) 6:1-6:16
Publisher: LIPIcs
DOI: 10.4230/lipics.socg.2022.6

Weak Unit Disk Contact Representations for Graphs without Embedding

Author(s): Jonas Cleve
Published in: EuroCG 2020, 2020, Page(s) 28:1-28:9
Publisher: Universität Würzburg

Insertion-Only Dynamic Connectivity in General Disk Graphs

Author(s): Haim Kaplan, Katharina Klost, Kristin Knorr, Wolfgang Mulzer, and Liam Roditty
Published in: EuroCG 2023, 2023, Page(s) 47:1–47:7
Publisher: UPC Barcelona

Recognizing embedded caterpillars with weak unit disk contact representations is NP-hard

Author(s): Man-Kwun Chiu, Jonas Cleve, Martin Nöllenburg
Published in: EuroCG 2019, 2019, Page(s) 47:1-47:9
Publisher: Utrecht University

Flipping Plane Spanning Paths

Author(s): Oswin Aichholzer, Kristin Knorr, Wolfgang Mulzer, Johannes Obenaus, Rosna Paul, and Birgit Vogtenhuber
Published in: WALCOM 2023, 2023, Page(s) 49-60
Publisher: Springer Verlag
DOI: 10.1007/978-3-031-27051-2_5

Asymmetric Convex Intersection Testing

Author(s): Barba, Luis; Mulzer, Wolfgang
Published in: SOSA 2019, Issue 69, 2019, Page(s) 9:1-9:14, ISBN 978-3-95977-099-6
Publisher: OASIcs
DOI: 10.4230/oasics.sosa.2019.9

Approximate Minimum-Weight Matching with Outliers under Translation

Author(s): Agarwal, Pankaj K.; Kaplan, Haim; Kipper, Geva; Mulzer, Wolfgang; Rote, Günter; Sharir, Micha; Xiao, Allen
Published in: ISAAC 2018, Issue 123, 2018, Page(s) 26:1--26:13, ISBN 978-3-95977-094-1
Publisher: LIPIcs
DOI: 10.4230/lipics.isaac.2018.26

Maintaining the Union of Unit Discs under Insertions with Near-Optimal Overhead

Author(s): Agarwal, Pankaj K.; Cohen, Ravid; Halperin, Dan; Mulzer, Wolfgang
Published in: SoCG 2019, Issue 129, 2019, Page(s) 26:1-26:15, ISBN 978-3-95977-104-7
Publisher: LIPIcs
DOI: 10.4230/lipics.socg.2019.26

Combinatorics of Beacon-Based Routing in Three Dimensions

Author(s): Jonas Cleve, Wolfgang Mulzer
Published in: LATIN 2018: Theoretical Informatics, Issue 10807, 2018, Page(s) 346-360, ISBN 978-3-319-77403-9
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-77404-6_26

Recognizing Generalized Transmission Graphs of Line Segments and Circular Sectors

Author(s): Katharina Klost, Wolfgang Mulzer
Published in: LATIN 2018: Theoretical Informatics, Issue 10807, 2018, Page(s) 683-696, ISBN 978-3-319-77403-9
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-77404-6_50

Improved Topological Approximations by Digitization

Author(s): Aruni Choudhary, Michael Kerber, Sharath Raghvendra
Published in: Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms, 2019, Page(s) 2675-2688, ISBN 978-1-61197-548-2
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/1.9781611975482.166

On the Stretch Factor of Polygonal Chains

Author(s): Chen, Ke; Dumitrescu, Adrian; Mulzer, Wolfgang; Tóth, Csaba D.
Published in: MFCS 2019, Issue 138, 2019, Page(s) 56:1–56:14, ISBN 978-3-95977-117-7
Publisher: LIPIcs
DOI: 10.4230/lipics.mfcs.2019.56

An Experimental Study of Algorithms for Geodesic Shortest Paths in the Constant-Workspace Model

Author(s): Jonas Cleve, Wolfgang Mulzer
Published in: Analysis of Experimental Algorithms - Special Event, SEA² 2019, Kalamata, Greece, June 24-29, 2019, Revised Selected Papers, Issue 11544, 2019, Page(s) 317-331, ISBN 978-3-030-34028-5
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-34029-2_21

Triangles and Girth in Disk Graphs and Transmission Graphs

Author(s): Haim Kaplan, Katharina Klost, Wolfgang Mulzer, Liam Roditty, Paul Seiferth, Micha Sharir
Published in: ESA 2019, Issue 144, 2019, Page(s) 64:1-64:14, ISBN 978-3-95977-124-5
Publisher: LIPIcs
DOI: 10.4230/lipics.esa.2019.64

Long Alternating Paths Exist

Author(s): Mulzer, Wolfgang; Valtr, Pavel
Published in: SoCG 2020, Issue 164, 2020, Page(s) 57:1-57:16, ISBN 978-3-95977-143-6
Publisher: LIPIcs
DOI: 10.4230/lipics.socg.2020.57

A Generalization of Self-Improving Algorithms

Author(s): Cheng, Siu-Wing; Chiu, Man-Kwun; Jin, Kai; Wong, Man Ting
Published in: SoCG 2020, Issue 164, 2020, Page(s) 29:1-29:13, ISBN 978-3-95977-143-6
Publisher: LIPIcs
DOI: 10.4230/lipics.socg.2020.29

No-Dimensional Tverberg Theorems and Algorithms

Author(s): Choudhary, Aruni; Mulzer, Wolfgang
Published in: SoCG 2020, Issue 164, 2020, Page(s) 31:1-31:17, ISBN 978-3-95977-143-6
Publisher: LIPIcs
DOI: 10.4230/lipics.socg.2020.31

Routing in Unit Disk Graphs without Dynamic Headers

Author(s): Mulzer, Wolfgang; Willert, Max
Published in: ISAAC 2020, 2020, Page(s) 16:1--16:14
Publisher: LIPIcs
DOI: 10.4230/lipics.isaac.2020.16

The Tree Stabbing Number is not Monotone

Author(s): Mulzer, Wolfgang; Obenaus, Johannes
Published in: EuroCG 2020, 2020, Page(s) 78:1-78:8
Publisher: Universität Würzburg

Maximum Matchings in Geometric Intersection Graphs

Author(s): Bonnet, Édouard; Cabello, Sergio; Mulzer, Wolfgang
Published in: STACS 2020, Issue 154, 2020, Page(s) 31:1-31:17, ISBN 978-3-95977-140-5
Publisher: LIPIcs
DOI: 10.4230/lipics.stacs.2020.31

Routing in Histograms

Author(s): Man-Kwun Chiu, Jonas Cleve, Katharina Klost, Matias Korman, Wolfgang Mulzer, André van Renssen, Marcel Roeloffzen, Max Willert
Published in: WALCOM: Algorithms and Computation - 14th International Conference, WALCOM 2020, Singapore, Singapore, March 31 – April 2, 2020, Proceedings, Issue 12049, 2020, Page(s) 43-54, ISBN 978-3-030-39880-4
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-39881-1_5

Minimal Representations of Order Types by Geometric Graphs

Author(s): Oswin Aichholzer, Martin Balko, Michael Hoffmann, Jan Kynčl, Wolfgang Mulzer, Irene Parada, Alexander Pilz, Manfred Scheucher, Pavel Valtr, Birgit Vogtenhuber, Emo Welzl
Published in: Graph Drawing and Network Visualization - 27th International Symposium, GD 2019, Prague, Czech Republic, September 17–20, 2019, Proceedings, Issue 11904, 2019, Page(s) 101-113, ISBN 978-3-030-35801-3
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-35802-0_8

Computational Complexity of the $\alpha$-Ham-Sandwich Problem

Author(s): Chiu, Man-Kwun; Choudhary, Aruni; Mulzer, Wolfgang
Published in: ICALP 2020, Issue 168, 2020, Page(s) 31:1-31:18, ISBN 978-3-95977-138-2
Publisher: LIPIcs
DOI: 10.4230/lipics.icalp.2020.31

Compatible Spanning Trees in Simple Drawings of K_n

Author(s): Oswin Aichholzer, Kristin Knorr, Wolfgang Mulzer, Nicolas El Maalouly, Johannes Obenaus, Rosna Paul, Meghana M. Reddy, Birgit Vogtenhuber, Alexandra Weinberger
Published in: Graph Drawing and Network Visualization - 30th International Symposium, GD 2022, 2023, Page(s) 16-24, ISBN 978-3-031-22202-3
Publisher: Springer
DOI: 10.1007/978-3-031-22203-0_2

Dynamic Connectivity in Disk Graphs

Author(s): Kaplan, Haim; Kauer, Alexander; Klost, Katharina; Knorr, Kristin; Mulzer, Wolfgang; Roditty, Liam; Seiferth, Paul
Published in: Proceedings of the 38th International Symposium on Computational Geometry (SoCG), Issue 224, 2022, Page(s) 49:1-49:17
Publisher: LIPIcs
DOI: 10.4230/lipics.socg.2022.49

Flipping Plane Spanning Paths

Author(s): Oswin Aichholzer, Kristin Knorr, Maarten Löffler, Zuzana Masárová, Wolfgang Mulzer, Johannes Obenaus, Rosna Paul, Birgit Vogtenhuber
Published in: EuroCG 2022, 2022, Page(s) 66:1-66:7
Publisher: University of Perugia

Well-Separation and Hyperplane Transversals in High Dimensions

Author(s): Helena Bergold, Daniel Bertschinger, Nicolas Grelier, Wolfgang Mulzer, Patrick Schnider
Published in: 18th Scandinavian Symposium and Workshops on Algorithm Theory, 2022, Page(s) 16:1-16:14
Publisher: LIPIcs
DOI: 10.4230/lipics.swat.2022.16

Nearest-Neighbor Decompositions of Drawings

Author(s): Jonas Cleve, Nicolas Grelier, Kristin Knorr, Maarten Löffler, Wolfgang Mulzer, Daniel Perz:
Published in: 18th Scandinavian Symposium and Workshops on Algorithm Theory, 2022, Page(s) 21:1-21:16
Publisher: LIPIcs
DOI: 10.4230/lipics.swat.2022.21

Book chapters (3)

Plane Spanning Trees in Edge-Colored Simple Drawings of $$K_{n}$$

Author(s): Oswin Aichholzer, Michael Hoffmann, Johannes Obenaus, Rosna Paul, Daniel Perz, Nadja Seiferth, Birgit Vogtenhuber, Alexandra Weinberger
Published in: Graph Drawing and Network Visualization - 28th International Symposium, GD 2020, Vancouver, BC, Canada, September 16–18, 2020, Revised Selected Papers, Issue 12590, 2020, Page(s) 482-489, ISBN 978-3-030-68765-6
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-68766-3_37

Stabbing pairwise intersecting disks by five points

Author(s): Sariel Har-Peled, Haim Kaplan, Wolfgang Mulzer, Liam Roditty, Paul Seiferth, Micha Sharir, Max Willert:
Published in: ISAAC 2018, 2018
Publisher: LIPIcs
DOI: 10.4230/lipics.isaac.2018.50

Time-Space Trade-Offs for Computing Euclidean Minimum Spanning Trees

Author(s): Bahareh Banyassady, Luis Barba, Wolfgang Mulzer
Published in: LATIN 2018: Theoretical Informatics, Issue 10807, 2018, Page(s) 108-119, ISBN 978-3-319-77403-9
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-77404-6_9

Peer reviewed articles (30)

Delaunay simplices in diagonally distorted lattices

Author(s): Aruni Choudhary, Arijit Ghosh
Published in: Computational Geometry, Issue 81, 2019, Page(s) 33-44, ISSN 0925-7721
Publisher: Elsevier BV
DOI: 10.1016/j.comgeo.2019.01.010

Distance Bounds for High Dimensional Consistent Digital Rays and 2-D Partially-Consistent Digital Rays

Author(s): Man-Kwun Chiu, Matias Korman, Martin Suderland, Takeshi Tokuyama
Published in: Discrete & Computational Geometry, Issue 68, 2022, Page(s) 902–944, ISSN 0179-5376
Publisher: Springer Verlag
DOI: 10.1007/s00454-021-00349-6

Improved approximate rips filtrations with shifted integer lattices and cubical complexes.

Author(s): Aruni Choudhary; Michael Kerber; Sharath Raghvendra
Published in: Journal of Applied and Computational Topolog, Issue 5, 2021, Page(s) 425-458, ISSN 2367-1734
Publisher: Springer Verlag
DOI: 10.1007/s41468-021-00072-4

No-Dimensional Tverberg Theorems and Algorithms

Author(s): Aruni Choudhary, Wolfgang Mulzer
Published in: Discret. Comput. Geom., Issue 68(4), 2023, Page(s) 964-996, ISSN 0179-5376
Publisher: Springer Verlag
DOI: 10.1007/s00454-022-00380-1

Snipperclips: Cutting tools into desired polygons using themselves

Author(s): Zachary Abel; Hugo A. Akitaya; Man-Kwun Chiu; Erik D. Demaine; Martin L. Demaine; Adam Hesterberg; Matias Korman; Jayson Lynch; André van Renssen; Marcel Roeloffzen
Published in: Computational Geometry: Theory and Applications, 98:101784. Elsevier, Issue 98, 2021, Page(s) 101784, ISSN 0925-7721
Publisher: Elsevier BV
DOI: 10.48550/arxiv.2105.08305

On the Stretch Factor of Polygonal Chains

Author(s): Ke Chen, Adrian Dumitrescu, Wolfgang Mulzer, Csaba D. Tóth
Published in: SIAM J. Discret. Math., Issue 35(3), 2021, Page(s) 1592-1614, ISSN 0895-4801
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1335698

Time-space trade-offs for computing Euclidean minimum spanning trees

Author(s): Bahareh Banyassady, Luis Barba, Wolfgang Mulzer
Published in: Journal of Computational Geometry, Issue 11(1), 2020, Page(s) 525–547, ISSN 1920-180X
Publisher: MacOdrum Library, Carleton University
DOI: 10.20382/jocg.v11i1a21

Stabbing pairwise intersecting disks by five points

Author(s): Sariel Har-Peled, Haim Kaplan, Wolfgang Mulzer, Liam Roditty, Paul Seiferth, Micha Sharir, Max Willert
Published in: Discrete Mathematics, Issue Volume 344, Issue 7, 2021, Page(s) 112403, ISSN 0012-365X
Publisher: Elsevier BV
DOI: 10.1016/j.disc.2021.112403

Maintaining the Union of Unit Discs under Insertions with Near-Optimal Overhead

Author(s): Pankaj K. Agarwal, Ravid Cohen, Dan Halperin, Wolfgang Mulzer
Published in: ACM Trans. Algorithms, 2022, Page(s) 26:1-26:27, ISSN 1549-6325
Publisher: Association for Computing Machinary, Inc.
DOI: 10.1145/3527614

The dual diameter of triangulations

Author(s): Matias Korman, Stefan Langerman, Wolfgang Mulzer, Alexander Pilz, Maria Saumell, Birgit Vogtenhuber
Published in: Computational Geometry, Issue 68, 2018, Page(s) 243-252, ISSN 0925-7721
Publisher: Elsevier BV
DOI: 10.1016/j.comgeo.2017.06.008

Improved time-space trade-offs for computing Voronoi diagrams

Author(s): Bahareh Banyassady, Matias Korman, Wolfgang Mulzer, André van Renssen, Marcel Roeloffzen, Paul Seiferth, Yannik Stein
Published in: Journal of Computational Geometry, Issue 9(1), 2018, Page(s) 191-212, ISSN 1920-180X
Publisher: MacOdrum Library, Carleton University
DOI: 10.20382/jocg.v9i1a6

Computational Aspects of the Colorful Carathéodory Theorem

Author(s): Wolfgang Mulzer, Yannik Stein
Published in: Discrete & Computational Geometry, Issue 60/3, 2018, Page(s) 720-755, ISSN 0179-5376
Publisher: Springer Verlag
DOI: 10.1007/s00454-018-9979-y

Faster algorithms for growing prioritized disks and rectangles

Author(s): Hee-Kap Ahn, Sang Won Bae, Jongmin Choi, Matias Korman, Wolfgang Mulzer, Eunjin Oh, Ji-won Park, André van Renssen, Antoine Vigneron
Published in: Computational Geometry, Issue 80, 2019, Page(s) 23-39, ISSN 0925-7721
Publisher: Elsevier BV
DOI: 10.1016/j.comgeo.2019.02.001

Routing in Unit Disk Graphs

Author(s): Haim Kaplan, Wolfgang Mulzer, Liam Roditty, Paul Seiferth
Published in: Algorithmica, Issue 80/3, 2018, Page(s) 830-848, ISSN 0178-4617
Publisher: Springer Verlag
DOI: 10.1007/s00453-017-0308-2

Spanners for Directed Transmission Graphs

Author(s): Haim Kaplan, Wolfgang Mulzer, Liam Roditty, Paul Seiferth
Published in: SIAM Journal on Computing, Issue 47/4, 2018, Page(s) 1585-1609, ISSN 0097-5397
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/16m1059692

Time–space trade-offs for triangulations and Voronoi diagrams

Author(s): Matias Korman, Wolfgang Mulzer, André van Renssen, Marcel Roeloffzen, Paul Seiferth, Yannik Stein
Published in: Computational Geometry, Issue 73, 2018, Page(s) 35-45, ISSN 0925-7721
Publisher: Elsevier BV
DOI: 10.1016/j.comgeo.2017.01.001

A constructive proof of a concentration bound for real-valued random variables

Author(s): Wolfgang Mulzer, Natalia Shenkman
Published in: Information Processing Letters, Issue 158, 2020, Page(s) 105942, ISSN 0020-0190
Publisher: Elsevier BV
DOI: 10.1016/j.ipl.2020.105942

Implicit Manifold Reconstruction

Author(s): Siu-Wing Cheng, Man-Kwun Chiu
Published in: Discrete & Computational Geometry, Issue 62/3, 2019, Page(s) 700-742, ISSN 0179-5376
Publisher: Springer Verlag
DOI: 10.1007/s00454-019-00095-w

Routing in polygonal domains

Author(s): Bahareh Banyassady, Man-Kwun Chiu, Matias Korman, Wolfgang Mulzer, André van Renssen, Marcel Roeloffzen, Paul Seiferth, Yannik Stein, Birgit Vogtenhuber, Max Willert
Published in: Computational Geometry, Issue 87, 2020, Page(s) 101593, ISSN 0925-7721
Publisher: Elsevier BV
DOI: 10.1016/j.comgeo.2019.101593

Combinatorics of beacon-based routing in three dimensions

Author(s): Jonas Cleve, Wolfgang Mulzer
Published in: Computational Geometry, Issue 91, 2020, Page(s) 101667, ISSN 0925-7721
Publisher: Elsevier BV
DOI: 10.1016/j.comgeo.2020.101667

Reachability Oracles for Directed Transmission Graphs

Author(s): Haim Kaplan, Wolfgang Mulzer, Liam Roditty, Paul Seiferth
Published in: Algorithmica, Issue 82/5, 2020, Page(s) 1259-1276, ISSN 0178-4617
Publisher: Springer Verlag
DOI: 10.1007/s00453-019-00641-1

Balanced line separators of unit disk graphs

Author(s): Paz Carmi, Man Kwun Chiu, Matthew J. Katz, Matias Korman, Yoshio Okamoto, André van Renssen, Marcel Roeloffzen, Taichi Shiitada, Shakhar Smorodinsky
Published in: Computational Geometry, Issue 86, 2020, Page(s) 101575, ISSN 0925-7721
Publisher: Elsevier BV
DOI: 10.1016/j.comgeo.2019.101575

A time–space trade-off for computing the k-visibility region of a point in a polygon

Author(s): Yeganeh Bahoo, Bahareh Banyassady, Prosenjit K. Bose, Stephane Durocher, Wolfgang Mulzer
Published in: Theoretical Computer Science, Issue 789, 2019, Page(s) 13-21, ISSN 0304-3975
Publisher: Elsevier BV
DOI: 10.1016/j.tcs.2018.06.017

On the Average Complexity of the $k$-Level

Author(s): Steiner, Raphael; id_orcid0000-0001-8391-8949; Scheucher, Manfred; Felsner, Stefan; Valtr, Pavel; Chiu, Man-Kwun; Schnider, Patrick
Published in: Journal of Computational Geometry, Issue 11 (1), 2020, Page(s) 493-506, ISSN 1920-180X
Publisher: MacOdrum Library, Carleton University
DOI: 10.3929/ethz-b-000464326

Minimum cuts in geometric intersection graphs

Author(s): Sergio Cabello, Wolfgang Mulzer
Published in: Computational Geometry, Issue 94, 2021, Page(s) 101720, ISSN 0925-7721
Publisher: Elsevier BV
DOI: 10.1016/j.comgeo.2020.101720

Rectilinear link diameter and radius in a rectilinear polygonal domain

Author(s): Elena Arseneva, Man-Kwun Chiu, Matias Korman, Aleksandar Markovic, Yoshio Okamoto, Aurélien Ooms, André van Renssen, Marcel Roeloffzen
Published in: Computational Geometry, Issue 92, 2021, Page(s) 101685, ISSN 0925-7721
Publisher: Elsevier BV
DOI: 10.1016/j.comgeo.2020.101685

Dynamic Planar Voronoi Diagrams for General Distance Functions and Their Algorithmic Applications

Author(s): Haim Kaplan, Wolfgang Mulzer, Liam Roditty, Paul Seiferth, Micha Sharir
Published in: Discrete & Computational Geometry, Issue 64/3, 2020, Page(s) 838-904, ISSN 0179-5376
Publisher: Springer Verlag
DOI: 10.1007/s00454-020-00243-7

Minimal Representations of Order Types by Geometric Graphs

Author(s): Oswin Aichholzer, Martin Balko, Michael Hoffmann, Jan Kynčl, Wolfgang Mulzer, Irene Parada, Alexander Pilz, Manfred Scheucher, Pavel Valtr, Birgit Vogtenhuber, Emo Welzl
Published in: Journal of Graph Algorithms and Applications, Issue 24/4, 2020, Page(s) 551-572, ISSN 1526-1719
Publisher: Brown University
DOI: 10.7155/jgaa.00545

Coxeter Triangulations Have Good Quality

Author(s): Aruni Choudhary, Siargey Kachanovich, Mathijs Wintraecken
Published in: Mathematics in Computer Science, Issue 14/1, 2020, Page(s) 141-176, ISSN 1661-8270
Publisher: Birkhauser Verlag
DOI: 10.1007/s11786-020-00461-5

A Generalization of Self-Improving Algorithms

Author(s): Kai Jin, Siu-Wing Cheng, Man-Kwun Chiu, Man Ting Wong
Published in: ACM Transactions on Algorithms, Issue 18, 2022, Page(s) 29:1-29:32, ISSN 1549-6325
Publisher: Association for Computing Machinary, Inc.
DOI: 10.1145/3531227

Other (5)

Coloring circle arrangements: New 4-chromatic planar graphs

Author(s): Man-Kwun Chiu, Stefan Felsner, Manfred Scheucher, Felix Schröder, Raphael Steiner, Birgit Vogtenhuber
Published in: arXiv, 2022
Publisher: arXiv

Dynamic Maintenance of the Lower Envelope of Pseudo-Lines

Author(s): Agarwal, Pankaj K.; Cohen, Ravid; Halperin, Dan; Mulzer, Wolfgang
Published in: Issue 1, 2019
Publisher: arXiv.rg

Special Issue on the 34th European Workshop on Computational Geometry, Guest Editors' Foreword

Author(s): Matias Korman, Wolfgang Mulzer
Published in: Computational Geometry, Issue 84, 2019, Page(s) 1-2, ISSN 0925-7721
Publisher: Elsevier BV
DOI: 10.1016/j.comgeo.2019.07.001

New Results in Sona Drawing: Hardness and TSP Separation

Author(s): Man-Kwun Chiu, Erik D. Demaine, Yevhenii Diomidov, David Eppstein, Robert A. Hearn, Adam Hesterberg, Matias Korman, Irene Parada, Mikhail Rudoy
Published in: 2020
Publisher: arXiv

Edge Partitions of Complete Geometric Graphs (Part 1)

Author(s): Obenaus, Johannes; Orthaber, Joachim
Published in: arXiv, 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2108.05159

Non-peer reviewed articles (3)

Five Proofs of Chernoff's Bound with Applications

Author(s): Mulzer, Wolfgang
Published in: Bulletin of the EATCS, Issue 3, 2018, ISSN 0252-9742
Publisher: European Association of Theoretical Computer Science

Computational Geometry Column 67

Author(s): Bahareh Banyassady, Matias Korman, Wolfgang Mulzer
Published in: ACM SIGACT News, Issue 49/2, 2018, Page(s) 77-94, ISSN 0163-5700
Publisher: ACM SigACT
DOI: 10.1145/3232679.3232692

A Simple Randomized $O(n \log n)$--Time Closest-Pair Algorithm in Doubling Metrics

Author(s): Maheshwari, Anil; Mulzer, Wolfgang; Smid, Michiel
Published in: Journal of Computational Geometry, Issue 11 (1), 2020, Page(s) 507–524, ISSN 1920-180X
Publisher: MacOdrum Library, Carleton University
DOI: 10.20382/jocg.v11i1a20