Artículo
Kohen, D.; Sadofschi Costa, I. "On a generalization of the seating couples problem" (2016) Discrete Mathematics. 339(12):3017-3019
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Abstract:
We prove a conjecture of Adamaszek generalizing the seating couples problem to the case of 2n seats. Concretely, we prove that given a positive integer n and d1,…,dn∈(Z/2n)× we can partition Z/2n into n pairs with differences d1,…,dn. © 2016 Elsevier B.V.
Registro:
| Documento: | Artículo |
| Título: | On a generalization of the seating couples problem |
| Autor: | Kohen, D.; Sadofschi Costa, I. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Argentina IMAS, CONICET, Argentina |
| Palabras clave: | Cauchy–Davenport; Couples; Partition; Seating; Sumset |
| Año: | 2016 |
| Volumen: | 339 |
| Número: | 12 |
| Página de inicio: | 3017 |
| Página de fin: | 3019 |
| DOI: | http://dx.doi.org/10.1016/j.disc.2016.06.018 |
| Título revista: | Discrete Mathematics |
| Título revista abreviado: | Discrete Math |
| ISSN: | 0012365X |
| CODEN: | DSMHA |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0012365X_v339_n12_p3017_Kohen |
Referencias:
- Chowla, I., A theorem on the addition of residue classes: application to the number Γ(k) in Waring's problem (1937) Q. J. Math., os-8 (1), pp. 99-102
- Hall, M., A combinatorial problem on abelian groups (1952) Proc. Amer. Math. Soc., 3, pp. 584-587
- Karasev, R.N., Petrov, F.V., Partitions of nonzero elements of a finite field into pairs (2012) Israel J. Math., 192 (1), pp. 143-156
- Kohen, D., Sadofschi, I., A new approach on the seating couples problem arXiv:1006.2571; Mezei, T.R., Seating couples and Tic-Tac-Toe (2013), (Master's thesis) Eötvös Loránd University; Preissmann, E., Mischler, M., Seating couples around the King's table and a new characterization of prime numbers (2009) Amer. Math. Monthly, 116 (3), pp. 268-272
Citas:
---------- APA ----------
Kohen, D. & Sadofschi Costa, I. (2016) . On a generalization of the seating couples problem. Discrete Mathematics, 339(12), 3017-3019.http://dx.doi.org/10.1016/j.disc.2016.06.018
---------- CHICAGO ----------
Kohen, D., Sadofschi Costa, I. "On a generalization of the seating couples problem" . Discrete Mathematics 339, no. 12 (2016) : 3017-3019.http://dx.doi.org/10.1016/j.disc.2016.06.018
---------- MLA ----------
Kohen, D., Sadofschi Costa, I. "On a generalization of the seating couples problem" . Discrete Mathematics, vol. 339, no. 12, 2016, pp. 3017-3019.http://dx.doi.org/10.1016/j.disc.2016.06.018
---------- VANCOUVER ----------
Kohen, D., Sadofschi Costa, I. On a generalization of the seating couples problem. Discrete Math. 2016;339(12):3017-3019.http://dx.doi.org/10.1016/j.disc.2016.06.018
