Effective Random Methods in Discrete Mathematics

Project Information

ERMiD

Grant agreement ID: 101054936

DOI

10.3030/101054936

EC signature date 11 May 2022

Start date 1 January 2023

End date 31 December 2027

Funded under

• European Research Council (ERC)

Total cost

€ 2 019 035,00

EU contribution

€ 2 019 035,00

Coordinated by

HUN-REN RENYI ALFRED MATEMATIKAI KUTATOINTEZET
Hungary

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 .

Deliverables

Data Management Plan (1)

Data Management Plan

Publications

Book chapters (3)

Spanners in Planar Domains via Steiner Spanners and non-Steiner Tree Covers

Author(s): Sujoy Bhore, Balázs Keszegh, Andrey Kupavskii, Hung Le, Alexandre Louvet, Dömötör Pálvölgyi, Csaba D. Tóth
Published in: Proceedings of the 2025 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), 2025
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/1.9781611978322.145

On the Extremal Functions of Acyclic Forbidden 0-1 Matrices

Author(s): Seth Pettie, Gábor Tardos
Published in: Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), 2024
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/1.9781611977912.45

A Refutation of the Pach-Tardos Conjecture for 0-1 Matrices

Author(s): Seth Pettie, Gábor Tardos
Published in: Proceedings of the 2025 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), 2025
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/1.9781611978322.152

Peer reviewed articles (30)

Orientation of Convex Sets

Author(s): Péter Ágoston, Gábor Damásdi, Balázs Keszegh, Dömötör Pálvölgyi
Published in: The Electronic Journal of Combinatorics, Issue 31, 2024, ISSN 1077-8926
Publisher: The Electronic Journal of Combinatorics
DOI: 10.37236/11750

Disjointness graphs of short polygonal chains

Author(s): János Pach, Gábor Tardos, Géza Tóth
Published in: Journal of Combinatorial Theory, Series B, Issue 164, 2024, ISSN 0095-8956
Publisher: Elsevier BV
DOI: 10.1016/J.JCTB.2023.08.008

The double Hall property and cycle covers in bipartite graphs

Author(s): János Barát, Andrzej Grzesik, Attila Jung, Zoltán Lóránt Nagy, Dömötör Pálvölgyi
Published in: Discrete Mathematics, Issue 347, 2024, ISSN 0012-365X
Publisher: Elsevier BV
DOI: 10.1016/J.DISC.2024.114079

Three-chromatic geometric hypergraphs

Author(s): Gábor Damásdi, Dömötör Pálvölgyi
Published in: Journal of the European Mathematical Society, 2024, ISSN 1435-9855
Publisher: European Mathematical Society - EMS - Publishing House GmbH
DOI: 10.4171/JEMS/1516

Projective and External Saturation Problem for Posets

Author(s): Dömötör Pálvölgyi, Balázs Patkós
Published in: Order, 2024, ISSN 0167-8094
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/S11083-024-09674-W

Bipartite secret sharing and staircases

Author(s): Laszlo Csirmaz, František Matúš, Carles Padró
Published in: Discrete Mathematics, Issue 347, 2024, ISSN 0012-365X
Publisher: Elsevier BV
DOI: 10.1016/J.DISC.2024.113909

Coloring directed hypergraphs

Author(s): Balázs Keszegh
Published in: Discrete Mathematics, Issue 346, 2023, ISSN 0012-365X
Publisher: Elsevier BV
DOI: 10.1016/J.DISC.2023.113526

DP-FSAEA: Differential Privacy for Federated Surrogate-Assisted Evolutionary Algorithms

Author(s): Yuping Yan, Xilu Wang, Péter Ligeti, Yaochu Jin
Published in: IEEE Transactions on Evolutionary Computation, 2024, ISSN 1089-778X
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
DOI: 10.1109/TEVC.2024.3391003

Almost-Monochromatic Sets and the Chromatic Number of the Plane

Author(s): Nóra Frankl, Tamás Hubai, Dömötör Pálvölgyi
Published in: Discrete & Computational Geometry, Issue 70, 2023, ISSN 0179-5376
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/S00454-023-00526-9

Query complexity of Boolean functions on the middle slice of the cube

Author(s): Dániel Gerbner, Balázs Keszegh, Dániel T. Nagy, Kartal Nagy, Dömötör Pálvölgyi, Balázs Patkós, Gábor Wiener
Published in: Discrete Applied Mathematics, Issue 362, 2024, ISSN 0166-218X
Publisher: Elsevier BV
DOI: 10.1016/J.DAM.2024.11.018

Posets are easily testable

Author(s): Panna Tímea Fekete, Gábor Kun
Published in: European Journal of Combinatorics, 2024, ISSN 0195-6698
Publisher: Elsevier BV
DOI: 10.1016/J.EJC.2024.104044

Successive vertex orderings of fully regular graphs

Author(s): Lixing Fang, Hao Huang, János Pach, Gábor Tardos, Junchi Zuo
Published in: Journal of Combinatorial Theory, Series A, Issue 199, 2023, ISSN 0097-3165
Publisher: Elsevier BV
DOI: 10.1016/J.JCTA.2023.105776

The Number of Tangencies Between Two Families of Curves

Author(s): Balázs Keszegh, Dömötör Pálvölgyi
Published in: Combinatorica, Issue 43, 2023, ISSN 0209-9683
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/S00493-023-00041-8

A Characterization of Edge-Ordered Graphs with Almost Linear Extremal Functions

Author(s): Gaurav Kucheriya, Gábor Tardos
Published in: Combinatorica, Issue 43, 2023, ISSN 0209-9683
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/S00493-023-00052-5

On graphs that contain exactly k copies of a subgraph, and a related problem in search theory

Author(s): Dániel Gerbner, Balázs Keszegh, Dániel Lenger, Dániel T. Nagy, Dömötör Pálvölgyi, Balázs Patkós, Máté Vizer, Gábor Wiener
Published in: Discrete Applied Mathematics, Issue 341, 2023, ISSN 0166-218X
Publisher: Elsevier BV
DOI: 10.1016/J.DAM.2023.08.012

A new discrete theory of pseudoconvexity

Author(s): Balázs Keszegh
Published in: Discrete Mathematics & Theoretical Computer Science, Issue vol. 25:1, 2023, ISSN 1365-8050
Publisher: Centre pour la Communication Scientifique Directe (CCSD)
DOI: 10.46298/DMTCS.9255

A Secure Federated Data-Driven Evolutionary Multi-Objective Optimization Algorithm

Author(s): Qiqi Liu, Yuping Yan, Péter Ligeti, Yaochu Jin
Published in: IEEE Transactions on Emerging Topics in Computational Intelligence, Issue 8, 2024, ISSN 2471-285X
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
DOI: 10.1109/TETCI.2023.3313555

Turán problems for edge-ordered graphs

Author(s): Dániel Gerbner, Abhishek Methuku, Dániel T. Nagy, Dömötör Pálvölgyi, Gábor Tardos, Máté Vizer
Published in: Journal of Combinatorial Theory, Series B, Issue 160, 2023, ISSN 0095-8956
Publisher: Elsevier BV
DOI: 10.1016/J.JCTB.2022.12.006

Note on Polychromatic Coloring of Hereditary Hypergraph Families

Author(s): Dömötör Pálvölgyi
Published in: Graphs and Combinatorics, Issue 40, 2024, ISSN 0911-0119
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/S00373-024-02836-Y

Synchronizing Many Filesystems in Near Linear Time

Author(s): Elod P. Csirmaz, Laszlo Csirmaz
Published in: Future Internet, Issue 15, 2023, ISSN 1999-5903
Publisher: MDPI AG
DOI: 10.3390/fi15060198

Quantitative Helly-type Theorems via Hypergraph Chains

Author(s): Attila Jung
Published in: The Electronic Journal of Combinatorics, Issue 31, 2024, ISSN 1077-8926
Publisher: The Electronic Journal of Combinatorics
DOI: 10.37236/11989

Random Necklaces Require Fewer Cuts

Author(s): Noga Alon, Dor Elboim, János Pach, Gábor Tardos
Published in: SIAM Journal on Discrete Mathematics, Issue 38, 2024, ISSN 0895-4801
Publisher: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/22M1506699

Blockchain-Based Privacy-Preserving Shop Floor Auditing Architecture

Author(s): Fatemeh Stodt, Mohammed B. Alshawki, Christoph Reich, Fabrice Theoleyre, Peter Ligeti
Published in: IEEE Access, Issue 12, 2025, ISSN 2169-3536
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
DOI: 10.1109/ACCESS.2024.3366492

Piercing intersecting convex sets

Author(s): Imre Bárány, Travis Dillon, Dömötör Pálvölgyi, Dániel Varga
Published in: Linear Algebra and its Applications, Issue 710, 2024, ISSN 0024-3795
Publisher: Elsevier BV
DOI: 10.1016/J.LAA.2025.02.007

Where Have All the Grasshoppers Gone?

Author(s): János Pach, Gábor Tardos
Published in: The American Mathematical Monthly, Issue 131, 2024, ISSN 0002-9890
Publisher: Informa UK Limited
DOI: 10.1080/00029890.2023.2284611

Odd-sunflowers

Author(s): Peter Frankl, János Pach, Dömötör Pálvölgyi
Published in: Journal of Combinatorial Theory, Series A, Issue 206, 2024, ISSN 0097-3165
Publisher: Elsevier BV
DOI: 10.1016/J.JCTA.2024.105889

Cooperation in combinatorial search

Author(s): Dániel Gerbner, Balázs Keszegh, Kartal Nagy, Balázs Patkós, Gábor Wiener
Published in: Optimization Letters, Issue 19, 2024, ISSN 1862-4472
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/S11590-024-02120-1

Conjunctive hierarchical secret sharing by finite geometry

Author(s): Máté Gyarmati, Péter Ligeti, Peter Sziklai, Marcella Takáts
Published in: Designs, Codes and Cryptography, Issue 93, 2024, ISSN 0925-1022
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/S10623-024-01496-6

Attempting the Impossible: Enumerating Extremal Submodular Functions for n = 6

Author(s): Elod P. Csirmaz, Laszlo Csirmaz
Published in: Mathematics, Issue 13, 2025, ISSN 2227-7390
Publisher: MDPI AG
DOI: 10.3390/math13010097

"On the number of tangencies among 1-intersecting <mml:math xmlns:mml=""http://www.w3.org/1998/Math/MathML"" display=""inline"" id=""d1e1651"" altimg=""si718.svg""><mml:mi>x</mml:mi></mml:math>-monotone curves"

Author(s): Eyal Ackerman, Balázs Keszegh
Published in: European Journal of Combinatorics, Issue 118, 2024, ISSN 0195-6698
Publisher: Elsevier BV
DOI: 10.1016/J.EJC.2024.103929

Conference proceedings (5)

On the Number of Digons in Arrangements of Pairwise Intersecting Circles

Author(s): Eyal Ackerman, Gábor Damásdi, Balázs Keszegh, Rom Pinchasi, Rebeka Raffay
Published in: 40th International Symposium on Computational Geometry (SoCG 2024), Issue Volume 293, pp. 3:1-3:14, 2024
Publisher: Schloss Dagstuhl – Leibniz-Zentrum für Informatik
DOI: 10.4230/LIPICS.SOCG.2024.3

Monochromatic configurations on a circle

Author(s): Gábor Damásdi, Nora Frankl, Janos Pach, Dömötör Pálvölgyi
Published in: Proceedings of the 12th European Conference on Combinatorics, Graph Theory and Applications, 2023
Publisher: Masaryk University Press
DOI: 10.5817/CZ.MUNI.EUROCOMB23-044

A polynomial removal lemma for posets

Author(s): Gabor Kun, Panna Fekete
Published in: Proceedings of the 12th European Conference on Combinatorics, Graph Theory and Applications, 2023
Publisher: Masaryk University Press
DOI: 10.5817/CZ.MUNI.EUROCOMB23-096

Distributed Cryptography for Lightweight Encryption in Decentralized CP-ABE

Author(s): Mohammed B. Alshawki, Janneke Van Oosterhout, Peter Ligeti, Christoph Reich
Published in: 2023 19th International Conference on Wireless and Mobile Computing, Networking and Communications (WiMob), 2025
Publisher: IEEE
DOI: 10.1109/WiMob58348.2023.10187882

On the generalized Mycielskian of complements of odd cycles

Author(s): A. Gujgiczer, G. Simonyi, G. Tardos
Published in: Proceedings of the 12th Japanese-Hungarian Symposium on Discrete Mathematics and Its Applications, 2023
Publisher: Department of Computer Science and Information Theory, Budapest University of Technology and Economics