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The authors have been partially supported by Grant 2021 SGR 00115 from the Government of Catalonia, by Project ACITECH PID2021-124928NB-I00, funded by MCIN/AEI/10.13039/501100011033/FEDER, EU, and by Project HER- MES, funded by the European Union NextGenerationEU/PRTR via INCIBE.

Analysis of institutional authors

Perez-Roses, HebertCorresponding AuthorBras-Amoros, MariaAuthor

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Greedy sets and greedy numerical semigroups

Publicated to:Communications In Algebra. 53 (6): 2442-2455 - 2025-01-01 53(6), DOI: 10.1080/00927872.2024.2444625

Authors: Pérez-Rosés H; Serradilla-Merinero JM; Bras-Amorós M

Affiliations

Univ Rovira & Virgili, Dept Comp Sci & Math, Avda Paisos Catalans 26, Catalonia 43007, Spain - Author

Abstract

Motivated by the change-making problem, we extend the notion of greediness to sets of positive integers not containing the element 1, and from there to numerical semigroups. We provide an algorithm to determine if a given set (not necessarily containing the number 1) is greedy. We also give specific conditions for sets of cardinality three, and we prove that numerical semigroups generated by three consecutive integers are greedy.

Keywords

Change-making problemGreedy algorithmsNumerical semigroupNumerical semigroups

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Communications In Algebra due to its progression and the good impact it has achieved in recent years, according to the agency Scopus (SJR), it has become a reference in its field. In the year of publication of the work, 2025, it was in position , thus managing to position itself as a Q2 (Segundo Cuartil), in the category Algebra and Number Theory. Notably, the journal is positioned en el Cuartil Q3 for the agency WoS (JCR) in the category Mathematics.

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-06-30:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 1 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.

Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (Pérez Rosés, Hebert) and Last Author (Bras Amoros, Maria).

the author responsible for correspondence tasks has been Pérez Rosés, Hebert.