Computational Mathematics

Publications and preprints

Preprints and reports

1. Braun, G., Pokutta, S., and Weismantel, R. (2022). Alternating Linear Minimization: Revisiting von Neumann’s alternating projections. [arXiv] [slides] [video]
   [BibTeX]

   @misc{2022_BraunPokuttaWeismantel_Alternatingminimization,
     archiveprefix = {arXiv},
     eprint = {2212.02933},
     arxiv = {arXiv:2212.02933},
     primaryclass = {math.OC},
     author = {Braun, Gábor and Pokutta, Sebastian and Weismantel, Robert},
     title = {Alternating Linear Minimization: Revisiting von Neumann's alternating projections},
     slides = {https://pokutta.com/slides/20230327-icerm.pdf},
     video = {https://icerm.brown.edu/programs/sp-s23/w2/#schedule-item-4945},
     date = {2022-12-06}
   }

2. Böttcher, J., Frankl, N., Mergoni Cecchelli, D., Parczyk, O., and Skokan, J. (2023). Graphs with large minimum degree and no small odd cycles are 3-colourable. [arXiv]
   [BibTeX]

   @misc{2023_BoettcherEtAl_Graphs3colourable,
     archiveprefix = {arXiv},
     eprint = {2302.01875},
     arxiv = {arXiv:2302.01875},
     primaryclass = {math.CO},
     author = {Böttcher, Julia and Frankl, Nóra and Mergoni Cecchelli, Domenico and Parczyk, Olaf and Skokan, Jozef},
     title = {Graphs with large minimum degree and no small odd cycles are $3$-colourable},
     date = {2023-02-03}
   }

3. Kiem, A., Parczyk, O., and Spiegel, C. (2024). Adjunctions, Box Products, and Forcing Families. [arXiv]
   [BibTeX]

   @misc{2024_KiemParczykSpiegel_Forcing,
     archiveprefix = {arXiv},
     eprint = {2412.12904},
     arxiv = {arXiv:2412.12904},
     primaryclass = {math.CO},
     author = {Kiem, Aldo and Parczyk, Olaf and Spiegel, Christoph},
     title = {Adjunctions, Box Products, and Forcing Families},
     date = {2024-12-17}
   }

4. Abiad, A., Garbe, F., Povill, X., and Spiegel, C. (2025). Infinitely many counterexamples to a conjecture of Lovász. [arXiv]
   [BibTeX]

   @misc{2025_AidaFrederikXavierSpiegel_Counterexampleslovasz_2506-21286,
     archiveprefix = {arXiv},
     eprint = {2506.21286},
     arxiv = {arXiv:2506.21286},
     primaryclass = {math.CO},
     author = {Abiad, Aida and Garbe, Frederik and Povill, Xavier and Spiegel, Christoph},
     title = {Infinitely many counterexamples to a conjecture of Lovász},
     date = {2025-06-26}
   }

5. Pokutta, S. (2025). Scalable DC Optimization via Adaptive Frank-Wolfe Algorithms. [arXiv]
   [BibTeX]

   @misc{2025_Pokutta_DcoptimizationFrankwolfe_2507-17545,
     archiveprefix = {arXiv},
     eprint = {2507.17545},
     arxiv = {arXiv:2507.17545},
     primaryclass = {math.OC},
     author = {Pokutta, Sebastian},
     title = {Scalable DC Optimization via Adaptive Frank-Wolfe Algorithms},
     date = {2025-07-23}
   }

6. Glock, S., Parczyk, O., Rathke, S., and Szabó, T. (2026). The maximum diameter of d-dimensional simplicial complexes. [arXiv]
   [BibTeX]

   @misc{2026_GlockParczykRathkeSzabo_Maximumdiametersimplicialcomplexes_2602-20890,
     archiveprefix = {arXiv},
     eprint = {2602.20890},
     arxiv = {arXiv:2602.20890},
     primaryclass = {math.CO},
     author = {Glock, Stefan and Parczyk, Olaf and Rathke, Silas and Szabó, Tibor},
     title = {The maximum diameter of $d$-dimensional simplicial complexes},
     date = {2026-02-24}
   }

7. Pauls, J., Schrödter, K., Ligensa, S., Schwartz, M., Turan, B., Zimmer, M., Saatchi, S., Pokutta, S., Ciais, P., and Gieseke, F. (2026). ECHOSAT: Estimating Canopy Height Over Space And Time. [arXiv]
   [BibTeX]

   @misc{2026_JanEtAl_EchosatCanopyheight_2602-21421,
     archiveprefix = {arXiv},
     eprint = {2602.21421},
     arxiv = {arXiv:2602.21421},
     primaryclass = {cs.CV},
     author = {Pauls, Jan and Schrödter, Karsten and Ligensa, Sven and Schwartz, Martin and Turan, Berkant and Zimmer, Max and Saatchi, Sassan and Pokutta, Sebastian and Ciais, Philippe and Gieseke, Fabian},
     title = {ECHOSAT: Estimating Canopy Height Over Space And Time},
     date = {2026-02-24}
   }

8. Kaibel, V., and Pokutta, S. (2026). A Counterexample to Ziegler’s Cross-Polytope Conjecture for Simplicial 0/1-Polytopes. [arXiv]
   [BibTeX]

   @misc{2026_KaibelPokutta_Counterexampleziegler_2606-31640,
     archiveprefix = {arXiv},
     eprint = {2606.31640},
     arxiv = {arXiv:2606.31640},
     primaryclass = {math.CO},
     author = {Kaibel, Volker and Pokutta, Sebastian},
     title = {A Counterexample to Ziegler's Cross-Polytope Conjecture for Simplicial 0/1-Polytopes},
     date = {2026-06-30}
   }

9. Kiem, A., and Wei, F. (2026). Explicit Fractalizers: Prime-Order Paley Graphs and other Cayley Graphs. [arXiv]
   [BibTeX]

   @misc{2026_KiemWei_PrimeOrderPaleyGraphs_2609-33526,
     archiveprefix = {arXiv},
     eprint = {2609.33526},
     arxiv = {arXiv:2609.33526},
     primaryclass = {math.CO},
     author = {Kiem, Aldo and Wei, Fan},
     title = {Explicit Fractalizers: Prime-Order Paley Graphs and other Cayley Graphs},
     date = {2026-09-27}
   }

10. Pelleriti, N., Nelaturu, S. H., Zhou, Z., Li, Z., Zimmer, M., Han, B., and Pokutta, S. (2026). What Do Evolutionary Coding Agents Evolve? [arXiv]
    [BibTeX]

    @misc{2026_PelleritiEtAl_Evotrace_2605-20086,
      archiveprefix = {arXiv},
      eprint = {2605.20086},
      arxiv = {arXiv:2605.20086},
      primaryclass = {cs.NE},
      author = {Pelleriti, Nico and Nelaturu, Sree Harsha and Zhou, Zhanke and Li, Zongze and Zimmer, Max and Han, Bo and Pokutta, Sebastian},
      title = {What Do Evolutionary Coding Agents Evolve?},
      date = {2026-05-19}
    }

11. Pokutta, S. (2026). (Approximate) Symmetric Extension Complexity of the Spanning Tree Polytope. [arXiv]
    [BibTeX]

    @misc{2026_Pokutta_Symmetricextensioncomplexity_2606-17017,
      archiveprefix = {arXiv},
      eprint = {2606.17017},
      arxiv = {arXiv:2606.17017},
      primaryclass = {math.CO},
      author = {Pokutta, Sebastian},
      title = {(Approximate) Symmetric Extension Complexity of the Spanning Tree Polytope},
      date = {2026-06-15}
    }

12. Urbano, A., Romero, D. W., Zimmer, M., and Pokutta, S. (2026). Neural Field Tokenizations with Hierarchy and Spatial Locality Priors. [arXiv]
    [BibTeX]

    @misc{2026_UrbanoRomeroZimmerPokutta_Neuralfieldtokenization_2606-08204,
      archiveprefix = {arXiv},
      eprint = {2606.08204},
      arxiv = {arXiv:2606.08204},
      primaryclass = {cs.LG},
      author = {Urbano, Alonso and Romero, David W. and Zimmer, Max and Pokutta, Sebastian},
      title = {Neural Field Tokenizations with Hierarchy and Spatial Locality Priors},
      date = {2026-06-06}
    }

13. Xu, L., Zhou, Y., and Pokutta, S. (2026). Agentic MIP Research: Accelerated Constraint Handler Generation. [arXiv]
    [BibTeX]

    @misc{2026_XuZhouPokutta_Agenticmip_2605-09186,
      archiveprefix = {arXiv},
      eprint = {2605.09186},
      arxiv = {arXiv:2605.09186},
      primaryclass = {cs.AI},
      author = {Xu, Liding and Zhou, Yugeng and Pokutta, Sebastian},
      title = {Agentic MIP Research: Accelerated Constraint Handler Generation},
      date = {2026-05-09}
    }

14. Zimmer, M., Pelleriti, N., Roux, C., and Pokutta, S. (2026). The Agentic Researcher: A Practical Guide to AI-Assisted Research in Mathematics and Machine Learning. [arXiv]
    [BibTeX]

    @misc{2026_ZimmerPelleritiRouxPokutta_Airesearchframework_2603-15914,
      archiveprefix = {arXiv},
      eprint = {2603.15914},
      arxiv = {arXiv:2603.15914},
      primaryclass = {cs.LG},
      author = {Zimmer, Max and Pelleriti, Nico and Roux, Christophe and Pokutta, Sebastian},
      title = {The Agentic Researcher: A Practical Guide to AI-Assisted Research in Mathematics and Machine Learning},
      date = {2026-03-16}
    }

15. Geiselmann, Z., Joswig, M., Kastner, L., Mundinger, K., Pokutta, S., Spiegel, C., Wack, M., and Zimmer, M. (2026). Limits of combinatorial patchworking. [arXiv]
    [BibTeX]

    @misc{2026_ZoeEtAl_Patchworkedcurves_2602-06888,
      archiveprefix = {arXiv},
      eprint = {2602.06888},
      arxiv = {arXiv:2602.06888},
      primaryclass = {math.AG},
      author = {Geiselmann, Zoe and Joswig, Michael and Kastner, Lars and Mundinger, Konrad and Pokutta, Sebastian and Spiegel, Christoph and Wack, Marcel and Zimmer, Max},
      title = {Limits of combinatorial patchworking},
      date = {2026-02-06}
    }

Conference contributions

1. Pokutta, S. Frank-Wolfe Beyond 1/t Convergence. Advances in Neural Information Processing Systems, 39. To appear. Associated with NeurIPS 2026. [arXiv]
   [BibTeX]

   @inproceedings{2026_Pokutta_Localdualsharpness_2604-28006,
     booktitle = {Advances in Neural Information Processing Systems},
     series = {Advances in Neural Information Processing Systems},
     volume = {39},
     publisher = {Curran Associates},
     note = {To appear},
     archiveprefix = {arXiv},
     eprint = {2604.28006},
     arxiv = {arXiv:2604.28006},
     primaryclass = {math.OC},
     author = {Pokutta, Sebastian},
     title = {Frank-Wolfe Beyond 1/t Convergence}
   }

2. Parczyk, O., and Spiegel, C. (2027). An Unsure Note on an Un-Schur Problem. Combinatorial and Additive Number Theory VII: CANT, New York, USA, 2024 and 2025, 557. To appear. Associated with CANT 2025. [arXiv]
   [BibTeX]

   @inproceedings{2024_ParczykSpiegel_UnSchur:1,
     year = {2027},
     booktitle = {Combinatorial and Additive Number Theory VII: CANT, New York, USA, 2024 and 2025},
     series = {Springer Proceedings in Mathematics & Statistics},
     volume = {557},
     publisher = {Springer Science+Business Media},
     note = {To appear},
     archiveprefix = {arXiv},
     eprint = {2410.22024},
     arxiv = {arXiv:2410.22024},
     primaryclass = {math.CO},
     author = {Parczyk, Olaf and Spiegel, Christoph},
     title = {An Unsure Note on an Un-Schur Problem}
   }

3. Geiselmann, Z., Joswig, M., Kastner, L., Mundinger, K., Pokutta, S., Spiegel, C., Wack, M., and Zimmer, M. (2027). Fast Isotopy Computation for T-Curves. Mathematical Software – ICMS 2026, 16677. To appear. Associated with ICMS 2026. [URL] [arXiv]
   [BibTeX]

   @inproceedings{2026_ZoeEtAl_Isotopytcurves_2604-09221,
     year = {2027},
     booktitle = {Mathematical Software – ICMS 2026},
     series = {Lecture Notes in Computer Science},
     volume = {16677},
     publisher = {Springer Science+Business Media},
     note = {To appear},
     url = {https://icms-conference.org/2026/papers/paper32/main.pdf},
     archiveprefix = {arXiv},
     eprint = {2604.09221},
     arxiv = {arXiv:2604.09221},
     primaryclass = {math.AG},
     author = {Geiselmann, Zoe and Joswig, Michael and Kastner, Lars and Mundinger, Konrad and Pokutta, Sebastian and Spiegel, Christoph and Wack, Marcel and Zimmer, Max},
     title = {Fast Isotopy Computation for T-Curves}
   }

4. Muhtar, D., Song, X., Pokutta, S., Zimmer, M., Pelleriti, N., Hofmann, T., and Liu, S. (2026). When Does Sparsity Mitigate the Curse of Depth in LLMs. Proceedings of the 43rd International Conference on Machine Learning, 306. Associated with ICML 2026. [arXiv]
   [BibTeX]

   @inproceedings{2026_DilxatEtAl_Sparsitydepthllms_2603-15389,
     year = {2026},
     booktitle = {Proceedings of the 43rd International Conference on Machine Learning},
     series = {Proceedings of Machine Learning Research},
     volume = {306},
     month = jul,
     archiveprefix = {arXiv},
     eprint = {2603.15389},
     arxiv = {arXiv:2603.15389},
     primaryclass = {cs.CL},
     author = {Muhtar, Dilxat and Song, Xinyuan and Pokutta, Sebastian and Zimmer, Max and Pelleriti, Nico and Hofmann, Thomas and Liu, Shiwei},
     title = {When Does Sparsity Mitigate the Curse of Depth in LLMs}
   }

5. Pelleriti, N., Nelaturu, S. H., Zhou, Z., Li, Z., Zimmer, M., Han, B., and Pokutta, S. (2026). What Do Evolutionary Coding Agents Evolve? Accepted at NeurIPS 2026 Workshop on Self-Evolving Diversity-Driven Search for Robust AI Systems. [arXiv]
   [BibTeX]

   @misc{2026_PelleritiEtAl_Evotrace_2605-20086:1,
     howpublished = {Accepted at NeurIPS 2026 Workshop on Self-Evolving Diversity-Driven Search for Robust AI Systems},
     year = {2026},
     archiveprefix = {arXiv},
     eprint = {2605.20086},
     arxiv = {arXiv:2605.20086},
     primaryclass = {cs.NE},
     author = {Pelleriti, Nico and Nelaturu, Sree Harsha and Zhou, Zhanke and Li, Zongze and Zimmer, Max and Han, Bo and Pokutta, Sebastian},
     title = {What Do Evolutionary Coding Agents Evolve?}
   }

6. Pelleriti, N., Mundinger, K., Zimmer, M., and Pokutta, S. (2026). Zero: A Meta-Agent for Mathematical Research. Accepted at The Sixth Workshop on Mathematical Reasoning and AI @ NeurIPS 2026.
   [BibTeX]

   @misc{2026_PelleritiMundingerZimmerPokutta_Zero,
     howpublished = {Accepted at The Sixth Workshop on Mathematical Reasoning and AI @ NeurIPS 2026},
     year = {2026},
     author = {Pelleriti, Nico and Mundinger, Konrad and Zimmer, Max and Pokutta, Sebastian},
     title = {Zero: A Meta-Agent for Mathematical Research}
   }

7. Pelleriti, N., Mundinger, K., Zimmer, M., and Pokutta, S. (2026). Zero: A Meta-Agent for Mathematical Research. Accepted at First Workshop on Meta Agents: Managing Agents That Manage Agents @ NeurIPS 2026.
   [BibTeX]

   @misc{2026_PelleritiMundingerZimmerPokutta_Zero:1,
     howpublished = {Accepted at First Workshop on Meta Agents: Managing Agents That Manage Agents @ NeurIPS 2026},
     year = {2026},
     author = {Pelleriti, Nico and Mundinger, Konrad and Zimmer, Max and Pokutta, Sebastian},
     title = {Zero: A Meta-Agent for Mathematical Research}
   }

8. Mundinger, K., Zimmer, M., Kiem, A., Spiegel, C., and Pokutta, S. (2025). Neural Discovery in Mathematics: Do Machines Dream of Colored Planes? Proceedings of the 42nd International Conference on Machine Learning, 267, 45236–45255. Associated with ICML 2025. [URL] [arXiv]
   [BibTeX]

   @inproceedings{2025_MundingerZimmerKiemSpiegelPokutta_NeuralDiscovery,
     year = {2025},
     booktitle = {Proceedings of the 42nd International Conference on Machine Learning},
     series = {Proceedings of Machine Learning Research},
     volume = {267},
     month = jul,
     pages = {45236--45255},
     url = {https://proceedings.mlr.press/v267/mundinger25a.html},
     archiveprefix = {arXiv},
     eprint = {2501.18527},
     arxiv = {arXiv:2501.18527},
     primaryclass = {cs.LG},
     author = {Mundinger, Konrad and Zimmer, Max and Kiem, Aldo and Spiegel, Christoph and Pokutta, Sebastian},
     title = {Neural Discovery in Mathematics: Do Machines Dream of Colored Planes?}
   }

9. Kiem, A., Pokutta, S., and Spiegel, C. (2024). The Four-Color Ramsey Multiplicity of Triangles. Discrete Mathematics Days 2024, 20, 13–18. Associated with DMD 2024. [URL] [arXiv] [code]
   [BibTeX]

   @inproceedings{2023_KiemPokuttaSpiegel_4colorramsey:1,
     year = {2024},
     booktitle = {Discrete Mathematics Days 2024},
     series = {Obras Colectivas Ciencias},
     volume = {20},
     publisher = {Editorial Universidad de Alcalá},
     pages = {13--18},
     url = {https://dmd2024.web.uah.es/files/abstracts/paper_3.pdf},
     archiveprefix = {arXiv},
     eprint = {2312.08049},
     arxiv = {arXiv:2312.08049},
     primaryclass = {math.CO},
     author = {Kiem, Aldo and Pokutta, Sebastian and Spiegel, Christoph},
     title = {The Four-Color Ramsey Multiplicity of Triangles},
     code = {https://github.com/FordUniver/kps_trianglemult}
   }

10. Kiem, A., Pokutta, S., and Spiegel, C. (2024). Categorification of Flag Algebras. Discrete Mathematics Days 2024, 20, 259–264. Associated with DMD 2024. [URL]
    [BibTeX]

    @inproceedings{2024_KiemPokuttaSpiegel_Categorificationflagalgebras,
      year = {2024},
      booktitle = {Discrete Mathematics Days 2024},
      series = {Obras Colectivas Ciencias},
      volume = {20},
      publisher = {Editorial Universidad de Alcalá},
      pages = {259--264},
      url = {https://dmd2024.web.uah.es/files/abstracts/paper_47.pdf},
      author = {Kiem, Aldo and Pokutta, Sebastian and Spiegel, Christoph},
      title = {Categorification of Flag Algebras}
    }

11. Mundinger, K., Pokutta, S., Spiegel, C., and Zimmer, M. (2024). Extending the Continuum of Six-Colorings. Discrete Mathematics Days 2024, 20, 178–183. Associated with DMD 2024. [URL] [arXiv]
    [BibTeX]

    @inproceedings{2024_MundingerPokuttaSpiegelZimmer_SixcoloringsExpansion:1,
      year = {2024},
      booktitle = {Discrete Mathematics Days 2024},
      series = {Obras Colectivas Ciencias},
      volume = {20},
      publisher = {Editorial Universidad de Alcalá},
      pages = {178--183},
      url = {https://dmd2024.web.uah.es/files/abstracts/paper_27.pdf},
      archiveprefix = {arXiv},
      eprint = {2404.05509},
      arxiv = {arXiv:2404.05509},
      primaryclass = {math.CO},
      author = {Mundinger, Konrad and Pokutta, Sebastian and Spiegel, Christoph and Zimmer, Max},
      title = {Extending the Continuum of Six-Colorings}
    }

12. Parczyk, O., Pokutta, S., Spiegel, C., and Szabó, T. (2023). Fully Computer-Assisted Proofs in Extremal Combinatorics. Proceedings of the AAAI Conference on Artificial Intelligence, 37(10), 12482–12490. Associated with AAAI 2023. DOI: 10.1609/aaai.v37i10.26470 [URL] [arXiv] [code]
    [BibTeX]

    @article{2022_ParczykPokuttaSpiegelSzabo_Ramseymultiplicityheuristics:2,
      year = {2023},
      date = {2023-06-26},
      journal = {Proceedings of the AAAI Conference on Artificial Intelligence},
      volume = {37},
      number = {10},
      month = jun,
      pages = {12482--12490},
      doi = {10.1609/aaai.v37i10.26470},
      url = {https://ojs.aaai.org/index.php/AAAI/article/view/26470},
      archiveprefix = {arXiv},
      eprint = {2206.04036},
      arxiv = {arXiv:2206.04036},
      primaryclass = {math.CO},
      author = {Parczyk, Olaf and Pokutta, Sebastian and Spiegel, Christoph and Szabó, Tibor},
      title = {Fully Computer-Assisted Proofs in Extremal Combinatorics},
      code = {https://zenodo.org/record/6602512#.YyvFhi8Rr5g}
    }

13. Rué, J., and Spiegel, C. (2023). The Rado Multiplicity Problem in Vector Spaces over Finite Fields. Proceedings of the 12th European Conference on Combinatorics, Graph Theory and Applications (EUROCOMB’23), 784–789. Associated with EUROCOMB 2023. DOI: 10.5817/CZ.MUNI.EUROCOMB23-108 [URL] [arXiv] [code]
    [BibTeX]

    @inproceedings{2023_RueSpiegel_Radomultiplicity:1,
      year = {2023},
      date = {2023-08-28},
      booktitle = {Proceedings of the 12th European Conference on Combinatorics, Graph Theory and Applications (EUROCOMB'23)},
      publisher = {Masaryk University Press},
      pages = {784--789},
      doi = {10.5817/CZ.MUNI.EUROCOMB23-108},
      url = {https://journals.muni.cz/eurocomb/article/view/35642},
      archiveprefix = {arXiv},
      eprint = {2304.00400},
      arxiv = {arXiv:2304.00400},
      primaryclass = {math.CO},
      author = {Rué, Juanjo and Spiegel, Christoph},
      title = {The Rado Multiplicity Problem in Vector Spaces over Finite Fields},
      code = {https://github.com/FordUniver/rs_radomult_23}
    }

14. Parczyk, O., Pokutta, S., Spiegel, C., and Szabó, T. (2022). New Ramsey multiplicity bounds and search heuristics. Discrete Mathematics Days 2022, 263, 224–230. Associated with DMD 2022. [arXiv] [code]
    [BibTeX]

    @inproceedings{2022_ParczykPokuttaSpiegelSzabo_Ramseymultiplicityheuristics:1,
      year = {2022},
      date = {2022-06-29},
      booktitle = {Discrete Mathematics Days 2022},
      series = {Difunde},
      volume = {263},
      publisher = {Editorial de la Universidad de Cantabria},
      month = jun,
      pages = {224--230},
      archiveprefix = {arXiv},
      eprint = {2206.04036},
      arxiv = {arXiv:2206.04036},
      primaryclass = {math.CO},
      author = {Parczyk, Olaf and Pokutta, Sebastian and Spiegel, Christoph and Szabó, Tibor},
      title = {New Ramsey multiplicity bounds and search heuristics},
      code = {https://zenodo.org/record/6602512#.YyvFhi8Rr5g}
    }

15. Böttcher, J., Parczyk, O., Sgueglia, A., and Skokan, J. (2021). The Square of a Hamilton Cycle in Randomly Perturbed Graphs. Extended Abstracts EuroComb 2021: European Conference on Combinatorics, Graph Theory and Applications, 14, 644–650. Associated with EUROCOMB 2021. DOI: 10.1007/978-3-030-83823-2_103 [arXiv]
    [BibTeX]

    @inproceedings{2024_BoettcherAmedeoJozefParczyk_Hamiltoncycleperturbation:1,
      year = {2021},
      booktitle = {Extended Abstracts EuroComb 2021: European Conference on Combinatorics, Graph Theory and Applications},
      series = {Trends in Mathematics},
      volume = {14},
      publisher = {Birkhäuser},
      pages = {644--650},
      doi = {10.1007/978-3-030-83823-2_103},
      archiveprefix = {arXiv},
      eprint = {2202.05215},
      arxiv = {arXiv:2202.05215},
      primaryclass = {math.CO},
      author = {Böttcher, Julia and Parczyk, Olaf and Sgueglia, Amédeo and Skokan, Jozef},
      title = {The Square of a Hamilton Cycle in Randomly Perturbed Graphs}
    }

16. Kusch, C., Rué, J., Spiegel, C., and Szabó, T. (2017). Random Strategies are Nearly Optimal for Generalized van der Waerden Games. Electronic Notes in Discrete Mathematics, 61, 789–795. Associated with EUROCOMB 2017. DOI: 10.1016/j.endm.2017.07.037 [URL] [arXiv]
    [BibTeX]

    @article{2017_KuschRueSpiegelSzabo_Uniformrandomstrategy:1,
      year = {2017},
      date = {2017-08-01},
      journal = {Electronic Notes in Discrete Mathematics},
      volume = {61},
      month = aug,
      pages = {789--795},
      doi = {10.1016/j.endm.2017.07.037},
      url = {https://doi.org/10.1016/j.endm.2017.07.037},
      archiveprefix = {arXiv},
      eprint = {1711.07251},
      arxiv = {arXiv:1711.07251},
      primaryclass = {math.CO},
      author = {Kusch, Christopher and Rué, Juanjo and Spiegel, Christoph and Szabó, Tibor},
      title = {Random Strategies are Nearly Optimal for Generalized van der Waerden Games}
    }

Articles, chapters and books

1. Kiem, A., Pokutta, S., and Spiegel, C. (2026). The four-color Ramsey multiplicity of triangles. Journal of Combinatorial Theory, Series B, 179, 19–70. DOI: 10.1016/j.jctb.2026.02.001 [arXiv] [code]
   [BibTeX]

   @article{2023_KiemPokuttaSpiegel_4colorramsey,
     year = {2026},
     journal = {Journal of Combinatorial Theory, Series B},
     month = jul,
     volume = {179},
     pages = {19--70},
     doi = {10.1016/j.jctb.2026.02.001},
     archiveprefix = {arXiv},
     eprint = {2312.08049},
     arxiv = {arXiv:2312.08049},
     primaryclass = {math.CO},
     author = {Kiem, Aldo and Pokutta, Sebastian and Spiegel, Christoph},
     title = {The four-color Ramsey multiplicity of triangles},
     code = {https://github.com/FordUniver/kps_trianglemult}
   }

2. Rué, J., and Spiegel, C. (2026). The Rado multiplicity problem in vector spaces over finite fields. Finite Fields and Their Applications, 111, 102782. DOI: 10.1016/j.ffa.2025.102782 [arXiv] [code]
   [BibTeX]

   @article{2023_RueSpiegel_Radomultiplicity,
     year = {2026},
     journal = {Finite Fields and Their Applications},
     month = mar,
     volume = {111},
     pages = {102782},
     doi = {10.1016/j.ffa.2025.102782},
     archiveprefix = {arXiv},
     eprint = {2304.00400},
     arxiv = {arXiv:2304.00400},
     primaryclass = {math.CO},
     author = {Rué, Juanjo and Spiegel, Christoph},
     title = {The Rado multiplicity problem in vector spaces over finite fields},
     code = {https://github.com/FordUniver/rs_radomult_23}
   }

3. Parczyk, O., and Spiegel, C. (2026). An Unsure Note on an Un-Schur Problem. Electronic Journal of Combinatorics, 33(1), P1.45. DOI: 10.37236/13554 [arXiv]
   [BibTeX]

   @article{2024_ParczykSpiegel_UnSchur,
     year = {2026},
     date = {2026-03-13},
     journal = {Electronic Journal of Combinatorics},
     month = mar,
     volume = {33},
     number = {1},
     pages = {P1.45},
     doi = {10.37236/13554},
     archiveprefix = {arXiv},
     eprint = {2410.22024},
     arxiv = {arXiv:2410.22024},
     primaryclass = {math.CO},
     author = {Parczyk, Olaf and Spiegel, Christoph},
     title = {An Unsure Note on an Un-Schur Problem}
   }

4. Espuny Díaz, A., Gupta, P., Mergoni Cecchelli, D., Parczyk, O., and Sgueglia, A. (2026). Dirac’s Theorem for Graphs of Bounded Bandwidth. Electronic Journal of Combinatorics, 33(1), P1.21. DOI: 10.37236/13474 [arXiv]
   [BibTeX]

   @article{2024_AlbertoEtAl_Diractheorembandwidth,
     year = {2026},
     journal = {Electronic Journal of Combinatorics},
     volume = {33},
     number = {1},
     pages = {P1.21},
     doi = {10.37236/13474},
     archiveprefix = {arXiv},
     eprint = {2407.05889},
     arxiv = {arXiv:2407.05889},
     primaryclass = {math.CO},
     author = {Espuny Díaz, Alberto and Gupta, Pranshu and Mergoni Cecchelli, Domenico and Parczyk, Olaf and Sgueglia, Amédeo},
     title = {Dirac's Theorem for Graphs of Bounded Bandwidth}
   }

5. Parczyk, O., Rathke, S., and Szabó, T. (2026). The Maximum Diameter of 2-Dimensional Simplicial Complexes. Discrete & Computational Geometry. DOI: 10.1007/s00454-026-00844-8 [arXiv]
   [BibTeX]

   @article{2025_ParczykRathkeSzabo_Simplicialdiameter_2511-10144,
     year = {2026},
     date = {2026-04-27},
     journal = {Discrete & Computational Geometry},
     doi = {10.1007/s00454-026-00844-8},
     archiveprefix = {arXiv},
     eprint = {2511.10144},
     arxiv = {arXiv:2511.10144},
     primaryclass = {math.CO},
     author = {Parczyk, Olaf and Rathke, Silas and Szabó, Tibor},
     title = {The Maximum Diameter of 2-Dimensional Simplicial Complexes}
   }

6. Parczyk, O., Pokutta, S., Spiegel, C., and Szabó, T. (2025). New Ramsey Multiplicity Bounds and Search Heuristics. Foundations of Computational Mathematics, 25(5), 1777–1814. DOI: 10.1007/s10208-024-09675-6 [URL] [arXiv] [code]
   [BibTeX]

   @article{2022_ParczykPokuttaSpiegelSzabo_Ramseymultiplicityheuristics,
     year = {2025},
     journal = {Foundations of Computational Mathematics},
     month = oct,
     volume = {25},
     number = {5},
     pages = {1777--1814},
     doi = {10.1007/s10208-024-09675-6},
     url = {https://link.springer.com/article/10.1007/s10208-024-09675-6},
     archiveprefix = {arXiv},
     eprint = {2206.04036},
     arxiv = {arXiv:2206.04036},
     primaryclass = {math.CO},
     author = {Parczyk, Olaf and Pokutta, Sebastian and Spiegel, Christoph and Szabó, Tibor},
     title = {New Ramsey Multiplicity Bounds and Search Heuristics},
     code = {https://zenodo.org/record/6602512#.YyvFhi8Rr5g}
   }

7. Illingworth, F., Lang, R., Müyesser, A., Parczyk, O., and Sgueglia, A. (2025). Spanning Spheres in Dirac Hypergraphs. Combinatorica, 45(4), 43. DOI: 10.1007/s00493-025-00169-9 [arXiv]
   [BibTeX]

   @article{2024_FreddieEtAl_Spanningspheresdirac,
     year = {2025},
     journal = {Combinatorica},
     month = aug,
     volume = {45},
     number = {4},
     pages = {43},
     doi = {10.1007/s00493-025-00169-9},
     archiveprefix = {arXiv},
     eprint = {2407.06275},
     arxiv = {arXiv:2407.06275},
     primaryclass = {math.CO},
     author = {Illingworth, Freddie and Lang, Richard and Müyesser, Alp and Parczyk, Olaf and Sgueglia, Amédeo},
     title = {Spanning Spheres in Dirac Hypergraphs}
   }

8. Mattos, L., Mergoni Cecchelli, D., and Parczyk, O. (2025). On Product Schur Triples in the Integers. SIAM Journal on Discrete Mathematics, 39(2), 1082–1095. DOI: 10.1137/24M1632875 [arXiv]
   [BibTeX]

   @article{2023_MattosDomenicoParczyk_Productschurtriples,
     year = {2025},
     journal = {SIAM Journal on Discrete Mathematics},
     volume = {39},
     number = {2},
     pages = {1082--1095},
     doi = {10.1137/24M1632875},
     archiveprefix = {arXiv},
     eprint = {2311.18796},
     arxiv = {arXiv:2311.18796},
     primaryclass = {math.CO},
     author = {Mattos, Letícia and Mergoni Cecchelli, Domenico and Parczyk, Olaf},
     title = {On Product Schur Triples in the Integers}
   }

9. Mundinger, K., Pokutta, S., Spiegel, C., and Zimmer, M. (2024). Extending the Continuum of Six-Colorings. Geombinatorics, XXXIV(1), 20–29. [URL] [arXiv]
   [BibTeX]

   @article{2024_MundingerPokuttaSpiegelZimmer_SixcoloringsExpansion,
     year = {2024},
     date = {2024-07-01},
     journal = {Geombinatorics},
     month = jul,
     volume = {XXXIV},
     number = {1},
     pages = {20--29},
     url = {https://geombina.uccs.edu/past-issues/volume-xxxiv},
     archiveprefix = {arXiv},
     eprint = {2404.05509},
     arxiv = {arXiv:2404.05509},
     primaryclass = {math.CO},
     author = {Mundinger, Konrad and Pokutta, Sebastian and Spiegel, Christoph and Zimmer, Max},
     title = {Extending the Continuum of Six-Colorings}
   }

10. Böttcher, J., Parczyk, O., Sgueglia, A., and Skokan, J. (2024). The square of a Hamilton cycle in randomly perturbed graphs. Random Structures & Algorithms, 65(2), 342–386. DOI: 10.1002/rsa.21215 [arXiv]
    [BibTeX]

    @article{2024_BoettcherAmedeoJozefParczyk_Hamiltoncycleperturbation,
      year = {2024},
      journal = {Random Structures & Algorithms},
      volume = {65},
      number = {2},
      pages = {342--386},
      doi = {10.1002/rsa.21215},
      archiveprefix = {arXiv},
      eprint = {2202.05215},
      arxiv = {arXiv:2202.05215},
      primaryclass = {math.CO},
      author = {Böttcher, Julia and Parczyk, Olaf and Sgueglia, Amédeo and Skokan, Jozef},
      title = {The square of a Hamilton cycle in randomly perturbed graphs}
    }

11. Kusch, C., Rué, J., Spiegel, C., and Szabó, T. (2019). On the optimality of the uniform random strategy. Random Structures & Algorithms, 55(2), 371–401. DOI: 10.1002/rsa.20829 [URL] [arXiv]
    [BibTeX]

    @article{2017_KuschRueSpiegelSzabo_Uniformrandomstrategy,
      year = {2019},
      journal = {Random Structures & Algorithms},
      month = sep,
      volume = {55},
      number = {2},
      pages = {371--401},
      doi = {10.1002/rsa.20829},
      url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/rsa.20829},
      archiveprefix = {arXiv},
      eprint = {1711.07251},
      arxiv = {arXiv:1711.07251},
      primaryclass = {math.CO},
      author = {Kusch, Christopher and Rué, Juanjo and Spiegel, Christoph and Szabó, Tibor},
      title = {On the optimality of the uniform random strategy}
    }