References
- [CGO20] S. Chapman, R. Garcia, and C. O’Neill, Beyond coins, stamps, and chicken McNuggets: An invitation to numerical semigroups, in: A Project-Based Guide to Undergraduate Research in Mathematics, 2020, 177–202.
- [CO18] S. T. Chapman and C. O’Neill, Factoring in the Chicken McNugget monoid, Mathematics Magazine 91 (2018), 323–336.
- [AKM19] J. Austin, B. G. Kronenthal, and S. M. Molitoris, The settlers of “Catanbinatorics”, Mathematics Magazine 92 (2019), 187–198.
- [AC22] J. Austin and E. Curl, Exploring combinatorics and graph theory with simple Blokus, College Mathematics Journal 53 (2022), 273–281.
- [EH23] R. Eaton and K. Herzinger, A further investigation of positions in Sylver coinage for which four has been chosen, Integers 23 (2023).
- [GK18] I. García-Marco and K. Knauer, Chomp on numerical semigroups, Algebraic Combinatorics 1 (2018), 371–394.
- [CSD+15] C. Cox, J. de Silva, P. Deorsey, F. H. J. Kenter, T. Retter, and J. Tobin, How to make the perfect fireworks display: Two strategies for Hanabi, Mathematics Magazine 88 (2015), 323–336.
- [Bou01] C. L. Bouton, Nim, a game with a complete mathematical theory, Ann. Math. 3(1/4) (1901), 35–39.
- [Lun69] W. F. Lunnon, A postage stamp problem, Comput. J. 12 (1969), 377–380.
- [Guy87] R. K. Guy, Twenty questions concerning Conway’s Sylver coinage, Amer. Math. Monthly 83 (1987), 634–637.
- [DGM15] M. Delgado, P. A. García-Sánchez, and J. Morais, NumericalSgps: A GAP package for numerical semigroups, 2015, available at http://www.gap-system.org.
- [Alf05] J. L. R. Alfonsín, The Diophantine Frobenius Problem, OUP Oxford, 2005.
- [Mat96] G. B. Mathews, On the partition of numbers, Proc. London Math. Soc. 28 (1896), 486–490.
DOI: https://doi.org/10.2478/rmm-2026-0005 | Journal eISSN: 2182-1976
Language: English
Page range: 79 - 94
Published on: May 27, 2026
Published by: Ludus Association
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Related subjects:
© 2026 Jathan Austin, Emelie Curl, published by Ludus Association
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.