Martin Dvorak
7 Publications
2026 |
Submitted |
Preprint |
IST-REx-ID: 21400 |
A blueprint for the formalization of Seymour's matroid decomposition theorem
I. Sergeev, M. Dvorak, C. Rampell, M. Sandey, P. Monticone, ArXiv (n.d.).
[Preprint]
View
| Files available
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| arXiv
I. Sergeev, M. Dvorak, C. Rampell, M. Sandey, P. Monticone, ArXiv (n.d.).
2025 |
Published |
Journal Article |
IST-REx-ID: 10045 |
Generalized minimum 0-extension problem and discrete convexity
M. Dvorak, V. Kolmogorov, Mathematical Programming 209 (2025) 279–322.
[Published Version]
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| Files available
| DOI
| WoS
| arXiv
M. Dvorak, V. Kolmogorov, Mathematical Programming 209 (2025) 279–322.
2025 |
Submitted |
Preprint |
IST-REx-ID: 21399 |
The equational theories project: Advancing collaborative mathematical research at scale
Bolan M, Breitner J, Brox J, Carlini N, Carneiro M, Doorn F van, Dvorak M, Goens A, Hill A, Husum H, Mejia HI, Kocsis ZA, Floch BL, Bar-on A, Luccioli L, McNeil D, Meiburg A, Monticone P, Nielsen PP, Osazuwa EO, Paolini G, Petracci M, Reinke B, Renshaw D, Rossel M, Roux C, Scanvic J, Srinivas S, Tadipatri AR, Tao T, Tsyrklevich V, Vaquerizo-Villar F, Weber D, Zheng F. The equational theories project: Advancing collaborative mathematical research at scale. arXiv, 10.48550/arXiv.2512.07087.
[Preprint]
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Bolan M, Breitner J, Brox J, Carlini N, Carneiro M, Doorn F van, Dvorak M, Goens A, Hill A, Husum H, Mejia HI, Kocsis ZA, Floch BL, Bar-on A, Luccioli L, McNeil D, Meiburg A, Monticone P, Nielsen PP, Osazuwa EO, Paolini G, Petracci M, Reinke B, Renshaw D, Rossel M, Roux C, Scanvic J, Srinivas S, Tadipatri AR, Tao T, Tsyrklevich V, Vaquerizo-Villar F, Weber D, Zheng F. The equational theories project: Advancing collaborative mathematical research at scale. arXiv, 10.48550/arXiv.2512.07087.
2025 |
Draft |
Preprint |
IST-REx-ID: 21398 |
Composition direction of Seymour's theorem for regular matroids — Formally verified
M. Dvorak, T. Figueroa-Reid, R. Hamadani, B.-H. Hwang, E. Karunus, V. Kolmogorov, A. Meiburg, A. Nelson, P. Nelson, M. Sandey, I. Sergeev, ArXiv (n.d.).
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
M. Dvorak, T. Figueroa-Reid, R. Hamadani, B.-H. Hwang, E. Karunus, V. Kolmogorov, A. Meiburg, A. Nelson, P. Nelson, M. Sandey, I. Sergeev, ArXiv (n.d.).
2024 |
Draft |
Preprint |
IST-REx-ID: 20071 |
Duality theory in linear optimization and its extensions -- formally verified
M. Dvorak, V. Kolmogorov, ArXiv (n.d.).
[Preprint]
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| Files available
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| arXiv
M. Dvorak, V. Kolmogorov, ArXiv (n.d.).
2023 |
Published |
Conference Paper |
IST-REx-ID: 13120 |
Closure properties of general grammars - formally verified
M. Dvorak, J. Blanchette, in:, 14th International Conference on Interactive Theorem Proving, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023.
[Published Version]
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| Files available
| DOI
| WoS
| arXiv
M. Dvorak, J. Blanchette, in:, 14th International Conference on Interactive Theorem Proving, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023.
2021 |
Published |
Conference Paper |
IST-REx-ID: 9592 |
Massively winning configurations in the convex grabbing game on the plane
M. Dvorak, S. Nicholson, in:, Proceedings of the 33rd Canadian Conference on Computational Geometry, Canadian Conference on Computational Geometry, 2021.
[Published Version]
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| Files available
| arXiv
M. Dvorak, S. Nicholson, in:, Proceedings of the 33rd Canadian Conference on Computational Geometry, Canadian Conference on Computational Geometry, 2021.
Grants
7 Publications
2026 |
Submitted |
Preprint |
IST-REx-ID: 21400 |
A blueprint for the formalization of Seymour's matroid decomposition theorem
I. Sergeev, M. Dvorak, C. Rampell, M. Sandey, P. Monticone, ArXiv (n.d.).
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
I. Sergeev, M. Dvorak, C. Rampell, M. Sandey, P. Monticone, ArXiv (n.d.).
2025 |
Published |
Journal Article |
IST-REx-ID: 10045 |
Generalized minimum 0-extension problem and discrete convexity
M. Dvorak, V. Kolmogorov, Mathematical Programming 209 (2025) 279–322.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
M. Dvorak, V. Kolmogorov, Mathematical Programming 209 (2025) 279–322.
2025 |
Submitted |
Preprint |
IST-REx-ID: 21399 |
The equational theories project: Advancing collaborative mathematical research at scale
Bolan M, Breitner J, Brox J, Carlini N, Carneiro M, Doorn F van, Dvorak M, Goens A, Hill A, Husum H, Mejia HI, Kocsis ZA, Floch BL, Bar-on A, Luccioli L, McNeil D, Meiburg A, Monticone P, Nielsen PP, Osazuwa EO, Paolini G, Petracci M, Reinke B, Renshaw D, Rossel M, Roux C, Scanvic J, Srinivas S, Tadipatri AR, Tao T, Tsyrklevich V, Vaquerizo-Villar F, Weber D, Zheng F. The equational theories project: Advancing collaborative mathematical research at scale. arXiv, 10.48550/arXiv.2512.07087.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
Bolan M, Breitner J, Brox J, Carlini N, Carneiro M, Doorn F van, Dvorak M, Goens A, Hill A, Husum H, Mejia HI, Kocsis ZA, Floch BL, Bar-on A, Luccioli L, McNeil D, Meiburg A, Monticone P, Nielsen PP, Osazuwa EO, Paolini G, Petracci M, Reinke B, Renshaw D, Rossel M, Roux C, Scanvic J, Srinivas S, Tadipatri AR, Tao T, Tsyrklevich V, Vaquerizo-Villar F, Weber D, Zheng F. The equational theories project: Advancing collaborative mathematical research at scale. arXiv, 10.48550/arXiv.2512.07087.
2025 |
Draft |
Preprint |
IST-REx-ID: 21398 |
Composition direction of Seymour's theorem for regular matroids — Formally verified
M. Dvorak, T. Figueroa-Reid, R. Hamadani, B.-H. Hwang, E. Karunus, V. Kolmogorov, A. Meiburg, A. Nelson, P. Nelson, M. Sandey, I. Sergeev, ArXiv (n.d.).
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
M. Dvorak, T. Figueroa-Reid, R. Hamadani, B.-H. Hwang, E. Karunus, V. Kolmogorov, A. Meiburg, A. Nelson, P. Nelson, M. Sandey, I. Sergeev, ArXiv (n.d.).
2024 |
Draft |
Preprint |
IST-REx-ID: 20071 |
Duality theory in linear optimization and its extensions -- formally verified
M. Dvorak, V. Kolmogorov, ArXiv (n.d.).
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
M. Dvorak, V. Kolmogorov, ArXiv (n.d.).
2023 |
Published |
Conference Paper |
IST-REx-ID: 13120 |
Closure properties of general grammars - formally verified
M. Dvorak, J. Blanchette, in:, 14th International Conference on Interactive Theorem Proving, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
M. Dvorak, J. Blanchette, in:, 14th International Conference on Interactive Theorem Proving, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023.
2021 |
Published |
Conference Paper |
IST-REx-ID: 9592 |
Massively winning configurations in the convex grabbing game on the plane
M. Dvorak, S. Nicholson, in:, Proceedings of the 33rd Canadian Conference on Computational Geometry, Canadian Conference on Computational Geometry, 2021.
[Published Version]
View
| Files available
| arXiv
M. Dvorak, S. Nicholson, in:, Proceedings of the 33rd Canadian Conference on Computational Geometry, Canadian Conference on Computational Geometry, 2021.