Informace o projektu
Structure of tractable instances of hard algorithmic problems on graphs
- Kód projektu
- GA20-04567S
- Období řešení
- 1/2020 - 12/2022
- Investor / Programový rámec / typ projektu
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Grantová agentura ČR
- Standardní projekty
- Fakulta / Pracoviště MU
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Fakulta informatiky
- prof. RNDr. Petr Hliněný, Ph.D.
- RNDr. Deniz Agaoglu Cagirici, Ph.D.
- Onur Cagirici, M.Sc., Ph.D.
- doc. Mgr. Jan Obdržálek, PhD.
One of the fundamental questions in theoretical CS is how to approach problems which are intractable in their full generality. Our proposal is to investigate the internal structure of tractable instances of such generally hard problems on graphs, namely those dealing with structural and topological graph theory, geometric graphs, and of problems definable in various logics. In particular, we propose to investigate algorithmic and complexity theoretical aspects of new width and sparsity parameters of graph classes, properties of geometric representations of graphs, tractable instances for the FO model checking problem, and the detailed structure of the graph crossing number problem.
Cíle udržitelného rozvoje
Masarykova univerzita se hlásí k cílům udržitelného rozvoje OSN, jejichž záměrem je do roku 2030 zlepšit podmínky a kvalitu života na naší planetě.
Publikace
Počet publikací: 17
2021
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Computational Complexity of Covering Multigraphs with Semi-Edges: Small Cases
46th International Symposium on Mathematical Foundations of Computer Science (MFCS 2021), rok: 2021
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On 13-Crossing-Critical Graphs with Arbitrarily Large Degrees
Extended Abstracts EuroComb 2021. Trends in Mathematics, rok: 2021
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Twin-Width is Linear in the Poset Width
International Symposium on Parameterized and Exact Computation (IPEC), rok: 2021
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Unit Disk Visibility Graphs
Extended Abstracts EuroComb 2021, rok: 2021
2020
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Clique-Width of Point Configurations
Graph-Theoretic Concepts in Computer Science, WG 2020, rok: 2020
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Isomorphism Problem for Sd-Graphs
45th International Symposium on Mathematical Foundations of Computer Science (MFCS 2020), rok: 2020
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On Embeddability of Unit Disk Graphs onto Straight Lines
International Computer Science Symposium in Russia, CSR 2020, rok: 2020