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arXiv · 2602.19162

Some Families of Greedy Numerical Semigroups

Arnau Messegué-Buisan·Hebert Pérez-Rosés
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Abstract

The change-making problem was recently extended to sets of positive integers not containing the element $1$, and from there to numerical semigroups. A greedy numerical semigroup is defined as a numerical semigroup where the greedy representation of an element is optimal with respect to the number of summands. In this paper we identify some new families of greedy numerical semigroups.

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Arnau Messegué-Buisan, Hebert Pérez-Rosés. 2026-02-22. Some Families of Greedy Numerical Semigroups. https://arxiv.org/abs/2602.19162

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