Dr. G. (Guus) Regts
Faculty of Science
KDV
Visiting address
- Science Park 107
- Room number: F3.31
Postal address
-
Postbus 94248
1090 GE Amsterdam
Contact details
-
Publications
2024
de Boer, D., Buys, P., Guerini, L., Peters, H., & Regts, G. (2024). Zeros, chaotic ratios and the computational complexity of approximating the independence polynomial. Mathematical Proceedings of the Cambridge Philosophical Society, 176(2), 459-494. https://doi.org/10.1017/S030500412300052X [details]
2023
- Bencs, F., de Boer, D., Buys, P., & Regts, G. (2023). Uniqueness of the Gibbs Measure for the Anti-ferromagnetic Potts Model on the Infinite Δ-Regular Tree for Large Δ. Journal of Statistical Physics, 190, Article 140. https://doi.org/10.1007/s10955-023-03145-z [details]
- Huijben, J., Patel, V., & Regts, G. (2023). Sampling from the low temperature Potts model through a Markov chain on flows. Random Structures and Algorithms, 62(1), 219-239. https://doi.org/10.1002/rsa.21089 [details]
- Regts, G. (2023). Absence of zeros implies strong spatial mixing. Probability Theory and Related Fields, 186(1-2), 621-641. https://doi.org/10.1007/s00440-023-01190-z [details]
- Regts, G., Huijben, J., & Bencs, F. (2023). On the location of chromatic zeros of series-parallel graphs. The Electronic Journal of Combinatorics, 30(3), Article P3.2. https://doi.org/10.37236/11204 [details]
- de Boer, D., Buys, P., & Regts, G. (2023). Uniqueness of the Gibbs measure for the 4-state anti-ferromagnetic Potts model on the regular tree. Combinatorics Probability and Computing, 32(1), 158-182. https://doi.org/10.1017/S0963548322000207 [details]
2022
- Buys, P., Galanis, A., Patel, V., & Regts, G. (2022). Lee-Yang zeros and the complexity of the ferromagnetic Ising model on bounded-degree graphs. Forum of Mathematics, Sigma, 10, Article e7. https://doi.org/10.1017/fms.2022.4 [details]
- Garijo, D., Goodall, A., Nešetřil, J., & Regts, G. (2022). Polynomials and graph homomorphisms. In J. Ellis-Monaghan, & I. Moffat (Eds.), Handbook of the Tutte Polynomial and Related Topics (pp. 405-422). CRC Press. https://doi.org/10.1201/9780429161612-22 [details]
2021
- Bencs, F., Csikvári, P., & Regts, G. (2021). Some Applications of Wagner's Weighted Subgraph Counting Polynomial. The Electronic Journal of Combinatorics, 28(4), Article 4-14. https://doi.org/10.37236/10185 [details]
- Bencs, F., Davies, E., Patel, V., & Regts, G. (2021). On zero-free regions for the anti-ferromagnetic Potts model on bounded-degree graphs. Annales de l'Institut Henri Poincaré D, 8(3), 459-489. https://doi.org/10.4171/AIHPD/108 [details]
- Buys, P., Galanis, A., Patel, V. S., & Regts, G. (2021). Lee-yang zeros and the complexity of the ferromagnetic ising model on bounded-degree graphs. In D. Marx (Ed.), Proceedings of the Thirty-Second Annual ACM-SIAM Symposium on Discrete Algorithms: SODA '21 (pp. 1508-1519). Society for Industrial and Applied Mathematics Publications. https://doi.org/10.48550/arXiv.2006.14828, https://doi.org/10.1137/1.9781611976465.91 [details]
- Goodall, A., Litjens, B., Regts, G., & Vena, L. (2021). Tutte’s dichromate for signed graphs. Discrete Applied Mathematics, 289, 153-184. https://doi.org/10.1016/j.dam.2020.09.021 [details]
- Regts, G., & Sevenster, B. (2021). Mixed partition functions and exponentially bounded edge-connection rank. Annales de l'Institut Henri Poincaré D, 8(2), 179-200. https://doi.org/10.4171/AIHPD/100 [details]
2020
- Abiad, A., Gribling, S., Lahaye, D., Mnich, M., Regts, G., Vena, L., Verweij, G., & Zwaneveld, P. (2020). On the complexity of solving a decision problem with flow-depending costs: The case of the IJsselmeer dikes. Discrete Optimization, 37, Article 100565. https://doi.org/10.1016/j.disopt.2019.100565 [details]
- Goodall, A., Litjens, B., Regts, G., & Vena, L. (2020). A Tutte polynomial for maps II: The non-orientable case. European Journal of Combinatorics, 86, Article 103095. https://doi.org/10.1016/j.ejc.2020.103095 [details]
- Helmuth, T., Perkins, W., & Regts, G. (2020). Algorithmic Pirogov–Sinai theory. Probability Theory and Related Fields, 176(3-4), 851-895. https://doi.org/10.1007/s00440-019-00928-y [details]
- Peters, H., & Regts, G. (2020). Location of zeros for the partition function of the Ising model on bounded degree graphs. Journal of the London Mathematical Society, 101(2), 765-785. https://doi.org/10.1112/jlms.12286 [details]
2019
- Barvinok, A., & Regts, G. (2019). Weighted counting of solutions to sparse systems of equations. Combinatorics Probability and Computing, 28(5), 696-719. https://doi.org/10.1017/S0963548319000105 [details]
- Helmuth, T., Perkins, W., & Regts, G. (2019). Algorithmic Pirogov-Sinai theory. In M. Charikar, & E. Cohen (Eds.), STOC '19: Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing (pp. 1009-1020). Association for Computing Machinery. https://doi.org/10.1145/3313276.3316305 [details]
- Kang, R. J., Patel, V., & Regts, G. (2019). Discrepancy and large dense monochromatic subsets. Journal of Algebraic Combinatorics, 10(1), 87-109. https://doi.org/10.4310/JOC.2019.v10.n1.a4 [details]
- Patel, V., & Regts, G. (2019). Computing the Number of Induced Copies of a Fixed Graph in a Bounded Degree Graph. Algorithmica, 81(5), 1844–1858. https://doi.org/10.1007/s00453-018-0511-9 [details]
- Peters, H., & Regts, G. (2019). On a Conjecture of Sokal Concerning Roots of the Independence Polynomial. The Michigan mathematical journal, 68(1), 33-55. https://doi.org/10.1307/mmj/1541667626 [details]
2018
- Goodall, A., Krajewski, T., Regts, G., & Vena, L. (2018). A Tutte Polynomial for Maps. Combinatorics Probability and Computing, 27(6), 913-945. https://doi.org/10.1017/S0963548318000081 [details]
- Regts, G. (2018). Zero-Free Regions of Partition Functions with Applications to Algorithms and Graph Limits. Combinatorica, 38(4), 987–1015. https://doi.org/10.1007/s00493-016-3506-7 [details]
2017
- Goodall, A., Litjens, B., Regts, G., & Vena, L. (2017). A Tutte polynomial for non-orientable maps. Electronic Notes in Discrete Mathematics, 61, 513-519. https://doi.org/10.1016/j.endm.2017.07.001 [details]
- Kang, R. J., Long, E., Patel, V., & Regts, G. (2017). On a Ramsey-type problem of Erdős and Pach. Bulletin of the London Mathematical Society, 49(6), 991-999. https://doi.org/10.1112/blms.12094 [details]
- Patel, V., & Regts, G. (2017). Deterministic Polynomial-Time Approximation Algorithms for Partition Functions and Graph Polynomials. SIAM Journal on Computing, 46(6), 1893-1919. https://doi.org/10.1137/16M1101003 [details]
- Patel, V., & Regts, G. (2017). Deterministic polynomial-time approximation algorithms for partition functions and graph polynomials. Electronic Notes in Discrete Mathematics, 61, 971-977. https://doi.org/10.1016/j.endm.2017.07.061 [details]
- Regts, G., & Sevenster, B. (2017). Graph parameters from symplectic group invariants. Journal of Combinatorial Theory. Series B, 122, 844-868. https://doi.org/10.1016/j.jctb.2016.10.002 [details]
- Regts, G., & Sevenster, B. (2017). Partition functions from orthogonal and symplectic group invariants. Electronic Notes in Discrete Mathematics, 61, 1011-1017. https://doi.org/10.1016/j.endm.2017.07.066 [details]
- Regts, G., Schrijver, A., & Sevenster, B. (2017). On the existence of real R-matrices for virtual link invariants. Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 87(2), 435-443. https://doi.org/10.1007/s12188-016-0175-9 [details]
2016
- Goodall, A., Regts, G., & Vena, L. (2016). Matroid invariants and counting graph homomorphisms. Linear Algebra and Its Applications, 494, 263–273. Advance online publication. https://doi.org/10.1016/j.laa.2016.01.022 [details]
- Regts, G. (2016). Regularity lemmas in a Banach space setting. European journal of combinatorics = Journal européen de combinatoire = Europäische Zeitschrift für Kombinatorik, 51, 347-358. https://doi.org/10.1016/j.ejc.2015.06.006 [details]
- Regts, G., & Schrijver, A. (2016). Compact orbit spaces in Hilbert spaces and limits of edge-colouring models. European journal of combinatorics = Journal européen de combinatoire = Europäische Zeitschrift für Kombinatorik, 52(B), 389-395. https://doi.org/10.1016/j.ejc.2015.07.013 [details]
- Regts, G., Schrijver, A., & Sevenster, B. (2016). On partition functions for 3-graphs. Journal of Combinatorial Theory Series B, 121, 421–431. https://doi.org/10.1016/j.jctb.2016.07.012 [details]
2015
- Kang, R. J., Pach, J., Patel, V., & Regts, G. (2015). A Precise Threshold for Quasi-Ramsey Numbers. SIAM Journal on Discrete Mathematics, 29(3), 1670-1682. https://doi.org/10.1137/14097313X [details]
- Kang, R. J., Patel, V., & Regts, G. (2015). On a Ramsey-type problem of Erdős and Pach. Electronic Notes in Discrete Mathematics, 49, 821-827. https://doi.org/10.1016/j.endm.2015.06.049 [details]
- Regts, G. (2015). Regularity lemmas in a Banach space setting. Electronic Notes in Discrete Mathematics, 49, 107-113. https://doi.org/10.1016/j.endm.2015.06.017 [details]
2022
- Patel, V., & Regts, G. (2022). Approximate counting using Taylor’s theorem: a survey. Bulletin of the EATC, (138). http://bulletin.eatcs.org/index.php/beatcs/article/view/725 [details]
2020
- Coulson, M., Davies, E., Kolla, A., Patel, V., & Regts, G. (2020). Statistical physics approaches to Unique Games. In S. Saraf (Ed.), 35th Computational Complexity Conference: CCC 2020, July 28–31, 2020, Saarbrücken, Germany (Virtual Conference) Article 13 (Leibniz International Proceedings in Informatics; Vol. 169). Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.CCC.2020.13 [details]
2013
- van der Aalst, T., Denteneer, D., Döring, H., Duong, M. H., Kang, R. J., Keane, M., Kool, J., Kryven, I., Meyfroyt, T., Müller, T., Regts, G., & Tomczyk, J. (2013). The random disc thrower problem. In M. Heydenreich, S. Hille, V. Rottschäfer, F. Spieksma, & E. Verbitskiy (Eds.), Proceedings of the 90th European Study Group Mathematics with Industry: SWI 2013: Leiden, 28 Janurary - 1 February 2013 (pp. 59-78). Universiteit Leiden, Studiegroep Wiskunde met de Industrie. http://websites.math.leidenuniv.nl/SWI-2013/SWI-2013_Scientific_proceedings_final.pdf [details]
2019
- Peters, H., & Regts, G. (2019). Een discrete vraag, een complexe oplossing. Nieuw Archief voor Wiskunde, 5/20(4), 245-247. http://www.nieuwarchief.nl/serie5/toonnummer.php?deel=20&nummer=4&taal=0 [details]
Others
- Patel, V. (participant) & Regts, G. (participant) (17-5-2021 - 21-5-2021). Extremal and Algorithmic Aspects of Partition Functions (organising a conference, workshop, ...).
- Patel, V. (participant) & Regts, G. (participant) (17-5-2021 - 21-5-2021). Extremal and Algorithmic Aspects of Partition Functions (organising a conference, workshop, ...).
- Peters, H. (organiser), Roeder, R. G. (organiser) & Regts, G. (participant) (17-5-2021 - 21-5-2021). Extremal and Algorithmic Aspects of Partition Functions (organising a conference, workshop, ...).
- Patel, V. S. (organiser) & Regts, G. (organiser) (23-8-2018 - 24-8-2018). 2-day Workshop on Algorithmic and Combinatorial Aspects of Partition Functions, Amsterdam. Topic: The study of various types of partition functions is a very active area of research and lies at the interface of combinatorics, probability, (…) (organising a conference, workshop, ...).
2023
- Huijben, J. (2023). Chromatic polynomials: Zeros, algorithms and computational complexity. [Thesis, fully internal, Universiteit van Amsterdam]. [details]
- de Boer, D. (2023). The Potts model and the independence polynomial: Uniqueness of the Gibbs measure and distributions of complex zeros. [Thesis, fully internal, Universiteit van Amsterdam]. [details]
2022
2019
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Ancillary activities
- No ancillary activities
de Boer, D., Buys, P., Guerini, L., Peters, H., & Regts, G. (2024). Zeros, chaotic ratios and the computational complexity of approximating the independence polynomial. Mathematical Proceedings of the Cambridge Philosophical Society, 176(2), 459-494.