Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/27472
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| Title: | A problem of integer partitions and numerical semigroups |
| Authors: | Rosales, J. C.
Branco, M. B. |
| Editors: | Professor Stuart White University of Oxford, UK |
| Keywords: | Integer partitions
numerical semigroups |
| Issue Date: | 2019 |
| Publisher: | RSE Scotland Foundation |
| Citation: | J. C. Rosales and M. B. Branco: A problem of integer partitions and numerical semigroups. Proceedings of Royal Society of Edinburgh Section A: Mathematics, Volume 149, Issue 4, August 2019,
pp. 969-978. DOI: 10.1017/prm.2018.65 |
| Abstract: | Let C be a set of positive integers. In this paper we obtain an algorithm for computing all subsets A of positive integers which are
minimals with the condition that if x_1 +... + x_n is a partition of an
element in C, then at least a summand of this partition belongs to
A. We use techniques of numerical semigroups to solve this problem,
because it is equivalent to give an algorithm that allows us compute all
the numerical semigroups which are maximals with the condition that
have empty intersection with the set C. |
| URI: | http://hdl.handle.net/10174/27472 |
| Type: | article |
| Appears in Collections: | MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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Departamento de Matemática /
MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica /
