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Parameterized Graph Drawing

  • Funding organization: Vienna Science and Technology Fund, WWTF
  • Project number: ICT22-029 (Information and Communication Technology 2022)

Project Team

Robert Ganian (Principal Investigator)
Martin Nöllenburg (Principal Investigator)
Simon Dominik Fink (Postdoctoral Researcher)
Thomas Depian (PhD Student)
Alexander Firbas (PhD Student)

The Project Team

Research Statement

The project is centered around two well-established fields of information and communication technology: (1) graph drawing and visualization, which deals with the construction and analysis of geometric representations of graphs and networks subject to specific layout conventions, and (2) parameterized complexity analysis, which offers the tools to design efficient algorithms as well as lower bounds custom-tailored to the specific structural properties of relevant inputs. Recent advances have highlighted the huge potential for the application of parameterized techniques on graph drawing and visualization problems. The two PIs of this proposal – Robert Ganian and Martin Nöllenburg – have already spearheaded an initial push to bring the two fields closer together, and this proposal will allow them to bring these efforts into fruition by targeting and resolving some of the most prominent questions in this intersection.

The project focuses on developing the tools and frameworks that will facilitate the parameterized analysis of central problems in graph drawing and visualization. The work is split into four fundamental themes, covering Extension Problems, Linear and Layered Layouts, Geometric Graph Representations and Bridges to Network Visualization. The output of each theme will include not only new algorithms but also tight lower bounds and, where relevant, implementations, significantly advancing the state of the art in these increasingly prominent fields of research.

Project Developments

2026

Mihai Pătrașcu Best Paper Award at SOSA 2026

January 12, 2026. Ajaykrishnan E S, Robert Ganian, Daniel Lokshtanov, and Vaishali Surianarayanan have been awarded the inaugural Mihai Pătrașcu Best Paper Award at the 2026 SIAM Symposium on Simplicity in Algorithms (SOSA) for their paper, "A Quasi-Polynomial Time Algorithm for 3-Coloring Circle Graphs." The paper targets an alternative formulation of the Book Thickness problem, which is central to the PGD project.

 

2025

Three Contest Awards for Graph Drawing Student Teams

September 26, 2025. At the 33rd International Symposium on Graph Drawing and Network Visualization in Norrköping, Sweden, student teams from TU Wien—originating from Martin Nöllenburg’s Graph Drawing Algorithms Master course—achieved top honors in multiple categories of the annual Graph Drawing Contest. In the creative category, which required designing a 360° visualization of cause-and-effect relationships from the Netflix series Dark for a 6-meter cylindrical display, the student team of Florian Saß, Jakob Speitkamp, and Guilherme Monteiro Oliveira (supervised by Thomas Depian) won first prize for their project, "Journey of a Time Machine." Additionally, in the automatic live challenge—a one-hour competition focused on implementing custom, highly efficient algorithms to minimize edge crossings in complex graphs—TU Wien students supervised by Simon D. Fink excelled further, with Christoph Weber securing second prize and the team of Stefan Brandmair and Luca Marius Cobzaru taking third place.

 

Best Paper Award at SOFSEM 2025

Award winners with their certificate

January 23, 2025. Thomas Depian, Simon D. Fink, Alexander Firbas, Robert Ganian, and Martin Nöllenburg (i.e., the whole PGD team) received the Best Paper Award for their paper "Pathways to Tractability for Geometric Thickness" at the 50th International Conference on Current Trends in Theory and Practice of Computer Science (SOFSEM) held in Bratislava, Slovakia from January 20-23, 2025.

2024

State Prize for Thomas Depian's Master Thesis

November 21, 2024. Our project team member Thomas Depian won the Appreciation Award given by the Federal Ministry for Education, Science and Research. This state prize is awarded annually to the best 55 Master graduates among each year's about 16.000 graduates of all Austrian universities. In 2024 Thomas, as one of only two students of TU Wien, received this prestigious award for his Master's thesis "Grouping and Ordering Constraints in Boundary Labeling", supervised by Martin Nöllenburg. Thomas will present the results of his thesis at the 35th International Symposium on Algorithms and Computation (ISAAC'24) in Sydney, Australia in December 2024.

Publications

2026

10 results
2026
[10]A Structural Complexity Analysis of Synchronous Dynamical Systems
Eduard Eiben, Robert Ganian, Thekla Hamm, Viktoriia Korchemna
Artificial Intelligence, 2026.
Note: to appear
[bibtex]
[9]From Data Completion to Problems on Hypercubes: A Parameterized Analysis of the Independent Set Problem
Eduard Eiben, Robert Ganian, Iyad Kanj, Sebastian Ordyniak, Stefan Szeider
Algorithmica, volume 88, number 1, pages 8, 2026.
[bibtex] [pdf] [doi]
[8]The Parameterized Complexity of Coordinated Motion Planning
Eduard Eiben, Robert Ganian, Iyad Kanj
Discrete and Computational Geometry, 2026.
Note: to appear
[bibtex]
[7]Parameterized Algorithms for Coordinated Motion Planning: Minimizing Energy
Argyrios Deligkas, Eduard Eiben, Robert Ganian, Iyad Kanj, M. S. Ramanujan
ACM Transactions on Algorithms, 2026.
Note: to appear
[bibtex]
[6]Routing Few Robots in a Crowded Network
Argyrios Deligkas, Eduard Eiben, Robert Ganian, Iyad Kanj, Dominik Leko, M. S. Ramanujan
Journal of Computer and System Sciences, 2026.
Note: to appear
[bibtex]
[5]Realizing Planar Linkages in Polygonal Domains
Thomas Depian, Carolina Haase, Martin Nöllenburg, André Schulz
International Workshop on Combinatorial Algorithms (IWOCA'26) (F. Foucaud, A. Parreau, eds.), volume 16587 of LNCS, pages 251–265, 2026, Springer.
[bibtex] [doi]
[4]Fair Correlation Clustering Meets Graph Parameters
Johannes Blaha, Robert Ganian, Katharina Gillig, Jonathan Højlev, Simon Wietheger
Proceedings of the 17th Latin American Theoretical Informatics (LATIN 2026), 2026.
Note: to appear
[bibtex]
[3]Coordinated Motion Planning is FPT on Discretized Simple Polygons
Narek Bojikian, Alexander Firbas, Robert Ganian, Hung Hoang, Krisztina Szilagyi
53rd International Colloquium on Automata, Languages, and Programming, ICALP 2026, 2026, Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
Note: to appear
[bibtex]
[2]A Quasi-Polynomial Time Algorithm for 3-Coloring Circle Graphs (Best Paper Award)
Ajaykrishnan E S, Robert Ganian, Daniel Lokshtanov, Vaishali Surianarayanan
2026 Symposium on Simplicity in Algorithms, SOSA 2026, 2026, SIAM.
Note: to appear
[bibtex]
[1]Coordinated Motion Planning is FPT on Discretized Simple Polygons
Argyrios Deligkas, Eduard Eiben, Robert Ganian, Iyad Kanj
53rd International Colloquium on Automata, Languages, and Programming, ICALP 2026, 2026, Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
Note: to appear
[bibtex]

2025

17 results
2025
[17]Transitions in Dynamic Point Labeling
Thomas Depian, Guangping Li, Martin Nöllenburg, Jules Wulms
Cartography and Geographic Information Science, pages 1–26, 2025.
[bibtex] [doi]
[16]Computing Twin-Width Parameterized by the Feedback Edge Number and Vertex Integrity
Jakub Balabán, Robert Ganian, Mathis Rocton
SIAM J. Discret. Math., 2025.
Note: to appear
[bibtex]
[15]Space-Efficient Parameterized Algorithms on Graphs of Low Shrubdepth
Benjamin Bergougnoux, Vera Chekan, Robert Ganian, Mamadou Moustapha Kanté, Matthias Mnich, Sang-il Oum, Michal Pilipczuk, Erik Jan van Leeuwen
ACM Trans. Comput. Theory, volume 17, number 3, pages 18:1–18:42, 2025.
[bibtex] [pdf] [doi]
[14]On Planar Unit-Length Linear Linkages in Polygonal Domains
Thomas Depian, Carolina Haase, Martin Nöllenburg, André Schulz
European Workshop on Computational Geometry (EuroCG'25) (Jan Kratochvíl, Giuseppe Liotta, eds.), pages 55:1–55:9, 2025.
[bibtex]
[13]Partial Level Planarity Parameterized by the Size of the Missing Graph
Thomas Depian, Simon D. Fink, Boris Klemz, Robert Ganian, Martin Nöllenburg, Marie Diana Sieper
European Workshop on Computational Geometry (EuroCG'25) (Jan Kratochvíl, Giuseppe Liotta, eds.), pages 50:1–50:10, 2025.
[bibtex]
[12]Pathways to Tractability for Geometric Thickness
Thomas Depian, Simon D. Fink, Alexander Firbas, Robert Ganian, Martin Nöllenburg
Theory and Practice of Computer Science (SOFSEM'25) (Rastislav Královic, Vera Kurková, eds.), volume 15538 of LNCS, pages 209–224, 2025, Springer.
[bibtex] [doi]
[11]Visualizing Treewidth
Alvin Chiu, Thomas Depian, David Eppstein, Michael T. Goodrich, Martin Nöllenburg
Graph Drawing and Network Visualization (GD'25) (Vida Dujmović, Fabrizio Montecchiani, eds.), volume 357 of LIPIcs, pages 17:1–17:20, 2025, Schloss Dagstuhl – Leibniz-Zentrum für Informatik.
[bibtex] [doi]
[10]Metric Dimension and Geodetic Set Parameterized by Vertex Cover
Florent Foucaud, Esther Galby, Liana Khazaliya, Shaohua Li, Fionn Mc Inerney, Roohani Sharma, Prafullkumar Tale
42nd International Symposium on Theoretical Aspects of Computer Science, STACS 2025, Jena, Germany, March 4-7, 2025 (Olaf Beyersdorff, Michal Pilipczuk, Elaine Pimentel, Kim Thang Nguyen, eds.), pages 33:1–33:20, 2025, Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
[bibtex] [pdf] [doi]
[9]A Minor-Testing Approach for Coordinated Motion Planning with Sliding Robots
Eduard Eiben, Robert Ganian, Iyad Kanj, M. S. Ramanujan
41st International Symposium on Computational Geometry, SoCG 2025, June 23-27, 2025, Kanazawa, Japan (Oswin Aichholzer, Haitao Wang, eds.), volume 332 of LIPIcs, pages 44:1–44:15, 2025, Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
[bibtex] [pdf] [doi]
[8]PACE Solver Description: Bad Dominating Set Maker
Alexander Dobler, Simon Dominik Fink, Mathis Rocton
20th International Symposium on Parameterized and Exact Computation, IPEC 2025, Warsaw, Poland, September 17-19, 2025 (Akanksha Agrawal, Erik Jan van Leeuwen, eds.), pages 35:1–35:5, 2025, Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
[bibtex] [pdf] [doi]
[7]Linear Layouts Revisited: Stacks, Queues, and Exact Algorithms
Thomas Depian, Simon D. Fink, Robert Ganian, Vaishali Surianarayanan
33rd Annual European Symposium on Algorithms (ESA 2025), 2025, Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
Note: to appear
[bibtex]
[6]The Peculiarities of Extending Queue Layouts
Thomas Depian, Simon Dominik Fink, Robert Ganian, Martin Nöllenburg
Graph-Theoretic Concepts in Computer Science - 51st International Workshop, WG 2025, 2025.
[bibtex]
[5]Structural Parameterizations of Simultaneous Planarity
Thomas Depian, Simon D. Fink, Alexander Firbas, Robert Ganian, Matthias Pfretzschner, Ignaz Rutter
36th International Symposium on Algorithms and Computation, ISAAC 2025, 2025, Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
Note: to appear
[bibtex]
[4]Pathways to Tractability for Geometric Thickness (Best Paper Award)
Thomas Depian, Simon Dominik Fink, Alexander Firbas, Robert Ganian, Martin Nöllenburg
SOFSEM 2025: Theory and Practice of Computer Science - 50th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2025, Bratislava, Slovak Republic, January 20-23, 2025, Proceedings, Part I (Rastislav Královic, Vera Kurková, eds.), volume 15538 of Lecture Notes in Computer Science, pages 209–224, 2025, Springer Verlag.
[bibtex] [pdf] [doi]
[3]Parameterized Algorithms for Multiagent Pathfinding on Trees
Argyrios Deligkas, Eduard Eiben, Robert Ganian, Iyad Kanj, M. S. Ramanujan
Proceedings of the 24th International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2025, Detroit, MI, USA, May 19-23, 2025 (Sanmay Das, Ann Nowé, Yevgeniy Vorobeychik, eds.), pages 584–592, 2025, International Foundation for Autonomous Agents and Multiagent Systems / ACM.
[bibtex] [pdf] [doi]
[2]Routing Few Robots in a Crowded Network
Argyrios Deligkas, Eduard Eiben, Robert Ganian, Iyad Kanj, Dominik Leko, M. S. Ramanujan
19th International Symposium on Algorithms and Data Structures, WADS 2025, August 11-15, 2025, York University, Toronto, Canada (Pat Morin, Eunjin Oh, eds.), volume 349 of LIPIcs, pages 20:1–20:15, 2025, Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
[bibtex] [pdf] [doi]
[1]Crossing and Independent Families Among Polygons
Anna Brötzner, Robert Ganian, Thekla Hamm, Fabian Klute, Irene Parada
19th International Symposium on Algorithms and Data Structures, WADS 2025, August 11-15, 2025, York University, Toronto, Canada (Pat Morin, Eunjin Oh, eds.), volume 349 of LIPIcs, pages 11:1–11:15, 2025, Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
[bibtex] [pdf] [doi]

2024

10 results
2024
[10]Extending Orthogonal Planar Graph Drawings is Fixed-parameter Tractable
Sujoy Bhore, Robert Ganian, Liana Khazaliya, Fabrizio Montecchiani, Martin Nöllenburg
J. Computational Geometry, volume 15, number 2, pages 3–39, 2024.
[bibtex] [doi]
[9]Fixed-Parameter Algorithms for Computing Bend-Restricted RAC Drawings of Graphs
Cornelius Brand, Robert Ganian, Sebastian Röder, Florian Schager
J. Graph Algorithms Appl., volume 28, number 2, pages 131–150, 2024.
[bibtex] [pdf] [doi]
[8]Minimizing Switches in Cased Graph Drawings
Robert Ganian, Martin Nöllenburg, Sebastian Röder
Graph Drawing and Network Visualization (GD'24) (Stefan Felsner, Karsten Klein, eds.), volume 320 of LIPIcs, pages 43:1–43:3, 2024, Schloss Dagstuhl – Leibniz-Zentrum für Informatik.
Note: Poster abstract
[bibtex] [doi]
[7]The Complexity of Cluster Vertex Splitting and Company
Alexander Firbas, Alexander Dobler, Fabian Holzer, Jakob Schafellner, Manuel Sorge, Anaïs Villedieu, Monika Wißmann
Theory and Practice of Computer Science (SOFSEM'24) (Henning Fernau, Serge Gaspers, Ralf Klasing, eds.), volume 14519 of LNCS, pages 226–239, 2024, Springer.
[bibtex] [doi]
[6]The Parameterized Complexity of Extending Stack Layouts
Thomas Depian, Simon D. Fink, Robert Ganian, Martin Nöllenburg
Graph Drawing and Network Visualization (GD'24) (Stefan Felsner, Karsten Klein, eds.), volume 320 of LIPIcs, pages 12:1–12:17, 2024, Schloss Dagstuhl – Leibniz-Zentrum für Informatik.
[bibtex] [pdf] [doi]
[5]The Parameterized Complexity Landscape of the Unsplittable Flow Problem
Robert Ganian, Mathis Rocton, Daniel Unterberger
Graph-Theoretic Concepts in Computer Science - 50th International Workshop, WG 2024, Gozd Martuljek, Slovenia, June 19-21, 2024, Revised Selected Papers (Daniel Král, Martin Milanic, eds.), volume 14760 of Lecture Notes in Computer Science, pages 220–235, 2024, Springer Verlag.
[bibtex] [pdf] [doi]
[4]A Tight Subexponential-Time Algorithm for Two-Page Book Embedding
Robert Ganian, Haiko Müller, Sebastian Ordyniak, Giacomo Paesani, Mateusz Rychlicki
51st International Colloquium on Automata, Languages, and Programming, ICALP 2024, July 8-12, 2024, Tallinn, Estonia (Karl Bringmann, Martin Grohe, Gabriele Puppis, Ola Svensson, eds.), volume 297 of LIPIcs, pages 68:1–68:18, 2024, Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
[bibtex] [pdf] [doi]
[3]Problems in NP Can Admit Double-Exponential Lower Bounds When Parameterized by Treewidth or Vertex Cover
Florent Foucaud, Esther Galby, Liana Khazaliya, Shaohua Li, Fionn Mc Inerney, Roohani Sharma, Prafullkumar Tale
51st International Colloquium on Automata, Languages, and Programming, ICALP 2024, July 8-12, 2024, Tallinn, Estonia (Karl Bringmann, Martin Grohe, Gabriele Puppis, Ola Svensson, eds.), volume 297 of LIPIcs, pages 66:1–66:19, 2024, Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
[bibtex] [pdf] [doi]
[2]The Parameterized Complexity Of Extending Stack Layouts
Thomas Depian, Simon D. Fink, Robert Ganian, Martin Nöllenburg
32nd International Symposium on Graph Drawing and Network Visualization, GD 2024, September 18-20, 2024, Vienna, Austria (Stefan Felsner, Karsten Klein, eds.), volume 320 of LIPIcs, pages 12:1–12:17, 2024, Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
[bibtex] [pdf] [doi]
[1]Parameterized Algorithms for Coordinated Motion Planning: Minimizing Energy
Argyrios Deligkas, Eduard Eiben, Robert Ganian, Iyad Kanj, M. S. Ramanujan
51st International Colloquium on Automata, Languages, and Programming, ICALP 2024, July 8-12, 2024, Tallinn, Estonia (Karl Bringmann, Martin Grohe, Gabriele Puppis, Ola Svensson, eds.), volume 297 of LIPIcs, pages 53:1–53:18, 2024, Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
[bibtex] [pdf] [doi]

2023

6 results
2023
[6]Extending Orthogonal Planar Graph Drawings is Fixed-Parameter Tractable
Sujoy Bhore, Robert Ganian, Liana Khazaliya, Fabrizio Montecchiani, Martin Nöllenburg
Computational Geometry (SoCG'23) (Erin W. Chambers, Joachim Gudmundsson, eds.), volume 258 of LIPIcs, pages 18:1–18:16, 2023, Schloss Dagstuhl – Leibniz-Zentrum für Informatik.
[bibtex] [doi]
[5]From Data Completion to Problems on Hypercubes: A Parameterized Analysis of the Independent Set Problem
Eduard Eiben, Robert Ganian, Iyad Kanj, Sebastian Ordyniak, Stefan Szeider
18th International Symposium on Parameterized and Exact Computation, IPEC 2023, September 6-8, 2023, Amsterdam, The Netherlands (Neeldhara Misra, Magnus Wahlström, eds.), volume 285 of LIPIcs, pages 16:1–16:14, 2023, Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
[bibtex] [pdf] [doi]
[4]The Parameterized Complexity of Coordinated Motion Planning
Eduard Eiben, Robert Ganian, Iyad Kanj
39th International Symposium on Computational Geometry, SoCG 2023, June 12-15, 2023, Dallas, Texas, USA (Erin W. Chambers, Joachim Gudmundsson, eds.), volume 258 of LIPIcs, pages 28:1–28:16, 2023, Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
[bibtex] [pdf] [doi]
[3]Upward and Orthogonal Planarity are W[1]-Hard Parameterized by Treewidth
Bart M. P. Jansen, Liana Khazaliya, Philipp Kindermann, Giuseppe Liotta, Fabrizio Montecchiani, Kirill Simonov
Graph Drawing and Network Visualization - 31st International Symposium, GD 2023, Isola delle Femmine, Palermo, Italy, September 20-22, 2023, Revised Selected Papers, Part II (Michael A. Bekos, Markus Chimani, eds.), volume 14466 of Lecture Notes in Computer Science, pages 203–217, 2023, Springer Verlag.
[bibtex] [pdf] [doi]
[2]Fixed-Parameter Algorithms for Computing RAC Drawings of Graphs
Cornelius Brand, Robert Ganian, Sebastian Röder, Florian Schager
Graph Drawing and Network Visualization - 31st International Symposium, GD 2023, Isola delle Femmine, Palermo, Italy, September 20-22, 2023, Revised Selected Papers, Part II (Michael A. Bekos, Markus Chimani, eds.), volume 14466 of Lecture Notes in Computer Science, pages 66–81, 2023, Springer Verlag.
[bibtex] [pdf] [doi]
[1]Extending Orthogonal Planar Graph Drawings Is Fixed-Parameter Tractable
Sujoy Bhore, Robert Ganian, Liana Khazaliya, Fabrizio Montecchiani, Martin Nöllenburg
39th International Symposium on Computational Geometry, SoCG 2023, June 12-15, 2023, Dallas, Texas, USA (Erin W. Chambers, Joachim Gudmundsson, eds.), volume 258 of LIPIcs, pages 18:1–18:16, 2023, Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
[bibtex] [pdf] [doi]

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