Dagstuhl Seminar 24062
Beyond-Planar Graphs: Models, Structures and Geometric Representations
( Feb 04 – Feb 09, 2024 )
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Organizers
- Vida Dujmovic (University of Ottawa, CA)
- Seok-Hee Hong (The University of Sydney, AU)
- Michael Kaufmann (Universität Tübingen, DE)
- János Pach (Alfréd Rényi Institute - Budapest, HU & EPFL - Lausanne, CH)
Contact
- Andreas Dolzmann (for scientific matters)
- Christopher Michels (for administrative matters)
Dagstuhl Reports
As part of the mandatory documentation, participants are asked to submit their talk abstracts, working group results, etc. for publication in our series Dagstuhl Reports via the Dagstuhl Reports Submission System.
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Shared Documents
- Dagstuhl Materials Page (Use personal credentials as created in DOOR to log in)
Many big data sets in various application domains have complex relationships, which can be modelled as graphs, consisting of entities and relationships between them. Consequently, graphs are extensively studied in both Mathematics and Computer science.
In particular, planar graphs, which can be drawn without edge crossings in the plane, form a distinguished role in Graph Theory and Graph Algorithms. Many structural properties of planar graphs are investigated, in terms of excluded minors, low density, and small separators, which lead to efficient algorithms for planar graphs. Consequently, fundamental algorithms for planar graphs have been discovered.
However, most real-world graphs, such as social networks and biological networks, are nonplanar. For example, the scale-free networks, which are used to model web graphs, social networks and biological networks, are globally sparse nonplanar graphs, with locally dense clusters and low diameters. To understand such real-world networks, we need to solve fundamental mathematical and algorithmic research questions on beyond-planar graphs, which generalize the notion of planar graphs, in terms of topological constraints or forbidden edge crossing patterns.
This Dagstuhl Seminar will investigate beyond-planar graphs, in particular, their combinatorial and topological structures (i.e., density, thickness, crossing pattern, chromatic number, queue number, and stack number), computational complexity and algorithmics for recognition, geometric representations (i.e., straight-line drawing, polyline drawing, intersection graphs), and their applications to real-world network visualization. Behind the fundamental scientific challenges and significant advances of this seminar lies the pragmatic need for effective visualization algorithms of real-world big complex networks.
Creative Commons BY 4.0
Vida Dujmovic, Seok-Hee Hong, Michael Kaufmann, and János Pach
- Patrizio Angelini (John Cabot University - Rome, IT) [dblp]
- Michael A. Bekos (University of Ioannina, GR) [dblp]
- Therese Biedl (University of Waterloo, CA) [dblp]
- Markus Chimani (Universität Osnabrück, DE) [dblp]
- Sabine Cornelsen (Universität Konstanz, DE) [dblp]
- Giordano Da Lozzo (University of Rome III, IT) [dblp]
- Giuseppe Di Battista (University of Rome III, IT) [dblp]
- Emilio Di Giacomo (University of Perugia, IT) [dblp]
- Walter Didimo (University of Perugia, IT) [dblp]
- Vida Dujmovic (University of Ottawa, CA) [dblp]
- Stefan Felsner (TU Berlin, DE) [dblp]
- Henry Förster (Universität Tübingen, DE) [dblp]
- Fabrizio Frati (University of Rome III, IT) [dblp]
- Michael Hoffmann (ETH Zürich, CH) [dblp]
- Seok-Hee Hong (The University of Sydney, AU) [dblp]
- Michael Kaufmann (Universität Tübingen, DE) [dblp]
- Stephen G. Kobourov (University of Arizona - Tucson, US) [dblp]
- Jan Kratochvil (Charles University - Prague, CZ) [dblp]
- Giuseppe Liotta (University of Perugia, IT) [dblp]
- Anna Lubiw (University of Waterloo, CA) [dblp]
- Fabrizio Montecchiani (University of Perugia, IT) [dblp]
- Pat Morin (Carleton University - Ottawa, CA) [dblp]
- Yoshio Okamoto (The University of Electro-Communications - Tokyo, JP) [dblp]
- János Pach (Alfréd Rényi Institute - Budapest, HU & EPFL - Lausanne, CH) [dblp]
- Maurizio Patrignani (University of Rome III, IT) [dblp]
- Sergey Pupyrev (Facebook - Menlo Park, US) [dblp]
- Ignaz Rutter (Universität Passau, DE) [dblp]
- Csaba Tóth (California State University - Northridge, US) [dblp]
- Géza Tóth (Alfréd Rényi Institute of Mathematics - Budapest, HU) [dblp]
- Torsten Ueckerdt (KIT - Karlsruher Institut für Technologie, DE) [dblp]
- Pavel Valtr (Charles University - Prague, CZ) [dblp]
- Alexander Wolff (Universität Würzburg, DE) [dblp]
Related Seminars
Classification
- Computational Geometry
- Data Structures and Algorithms
- Discrete Mathematics
Keywords
- Graph drawing
- Graph algorithm
- Graph theory
- Combinatorial geometry
- Network visualization
