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- Title
On sets related to integer partitions with quasi-required elements and disallowed elements.
- Authors
Robles-Pérez, Aureliano M.; Rosales, José Carlos
- Abstract
Given a set A of non-negative integers and a set B of positive integers, we are interested in computing all sets C (of positive integers) that are minimal in the family of sets K (of positive integers) such that (i) K contains no elements generated by non-negative integer linear combinations of elements in A and (ii) for any partition of an element in B there is at least one summand that belongs to K. To solve this question, we translate it into a numerical semigroups problem.
- Subjects
INTEGERS; PARTITIONS (Mathematics)
- Publication
Aequationes Mathematicae, 2024, Vol 98, Issue 2, p423
- ISSN
0001-9054
- Publication type
Article
- DOI
10.1007/s00010-023-01005-5