Dagstuhl Seminar 22481
Vertex Partitioning in Graphs: From Structure to Algorithms
( Nov 27 – Dec 02, 2022 )
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https://www.dagstuhl.de/22481
Organizers
- Maria Chudnovsky (Princeton University, US)
- Neeldhara Misra (Indian Institute of Techology - Madras, IN)
- Daniel Paulusma (Durham University, GB)
- Oliver Schaudt (Bayer AG - Leverkusen, DE)
Contact
- Andreas Dolzmann (for scientific matters)
- Susanne Bach-Bernhard (for administrative matters)
Shared Documents
- Dagstuhl Materials Page (Use personal credentials as created in DOOR to log in)
Schedule
Many important discrete optimization problems can be modelled as graph problems that ask if the set of vertices in a graph can be partitioned into a smallest number of sets, such that each set has the same property, or into some number of sets, such that each set has a specific property of their own. This leads to a rich framework of vertex partitioning problems, which include classical problems such as Graph Colouring, Graph Homomorphism, Vertex Cover, Feedback Vertex Set, and Odd Cycle Transversal, and variants and generalizations of these problems, such as List Colouring, Connected Vertex Cover, Independent Feedback Vertex Set, and Subset Odd Cycle Transversal.
Most of these vertex partitioning problems are NP-hard. However, this situation may change if we insist that the input graph belongs to some special graph class. This leads to two fundamental questions, which lie at the heart of our Dagstuhl Seminar: for which graph classes can an NP-hard vertex partitioning problem be solved in polynomial time, and for which graph classes does the problem remain NP-hard?
In our seminar, we aim to discover, in a systematic way, general properties of graph classes from which we can determine the tractability or hardness of vertex partitioning problems. For this purpose, we bring together researchers from Discrete Mathematics and Theoretical Computer Science. Topics of the seminar will include:
- Vertex Partitioning Problems
- Hereditary Graph Classes
- Width Parameters
- Graph Decompositions
- Minimal Separators
- Parameterized Complexity
We plan an appropriate number of survey talks, presentations of recent results, open problem sessions, and ample time for discussions and problem solving. As concrete outcomes we expect to develop new, general methodology for solving vertex partitioning problems. This will also increase our understanding of how the complexities of these problems are related to each other when the input is restricted to some special graph class.
Creative Commons BY 4.0
Maria Chudnovsky, Neeldhara Misra, Daniel Paulusma, and Oliver Schaudt
- Tara Abrishami (Princeton University, US) [dblp]
- Akanksha Agrawal (Indian Institute of Techology Madras, IN) [dblp]
- Bogdan Alecu (University of Leeds, GB)
- Christoph Brause (TU Bergakademie Freiberg, DE) [dblp]
- Nick Brettell (Victoria University - Wellington, NZ) [dblp]
- Henning Bruhn-Fujimoto (Universität Ulm, DE) [dblp]
- Maria Chudnovsky (Princeton University, US) [dblp]
- Konrad Dabrowski (Newcastle University, GB) [dblp]
- Peter Gartland (University of California - Santa Barbara, US) [dblp]
- Jan Goedgebeur (KU Leuven, BE) [dblp]
- Petr A. Golovach (University of Bergen, NO) [dblp]
- Bart Jansen (TU Eindhoven, NL) [dblp]
- Tuukka Korhonen (University of Bergen, NO)
- Daniel Král' (Masaryk University - Brno, CZ) [dblp]
- Madhumita Kundu (University of Bergen, NO)
- Paloma Lima (IT University of Copenhagen, DK) [dblp]
- Daniel Lokshtanov (University of California - Santa Barbara, US) [dblp]
- Barnaby Martin (Durham University, GB) [dblp]
- Tomas Masarik (University of Warsaw, PL) [dblp]
- Jana Masarikova (University of Warsaw, PL & Charles University - Praha, CZ)
- Andrea Munaro (Queen's University of Belfast, GB) [dblp]
- Jelle Oostveen (Utrecht University, NL)
- Sukanya Pandey (Utrecht University, NL)
- Daniel Paulusma (Durham University, GB) [dblp]
- Marcin Pilipczuk (University of Warsaw, PL) [dblp]
- Michal Pilipczuk (University of Warsaw, PL) [dblp]
- Pawel Rzazewski (Warsaw University of Technology, PL) [dblp]
- Saket Saurabh (The Institute of Mathematical Sciences - Chennai, IN) [dblp]
- Oliver Schaudt (Bayer AG - Leverkusen, DE) [dblp]
- Paul Seymour (Princeton University, US) [dblp]
- Roohani Sharma (MPI für Informatik - Saarbrücken, DE) [dblp]
- Siani Smith (University of Bristol, GB)
- Jan Arne Telle (University of Bergen, NO) [dblp]
- Nicolas Trotignon (ENS - Lyon, FR) [dblp]
- Erik Jan van Leeuwen (Utrecht University, NL) [dblp]
- Kristina Vuskovic (University of Leeds, GB) [dblp]
Related Seminars
- Dagstuhl Seminar 19271: Graph Colouring: from Structure to Algorithms (2019-06-30 - 2019-07-05) (Details)
Classification
- Computational Complexity
- Data Structures and Algorithms
- Discrete Mathematics
Keywords
- computational complexity
- hereditary graph classes
- parameterized algorithms
- polynomial-time algorithms
- vertex partitioning
