Author, as appears in the article.: Bras-Amoros, Maria; Fernandez-Gonzalez, Julio
Department: Enginyeria Informàtica i Matemàtiques
URV's Author/s: Bras Amoros, Maria
Abstract: For the elements of a numerical semigroup which are larger than the Frobenius number, we introduce the definition of seed by broadening the notion of generator. This new concept allows us to explore the semigroup tree in an alternative efficient way, since the seeds of each descendant can be easily obtained from the seeds of its parent. The paper is devoted to presenting the results which are related to this approach, leading to a new algorithm for computing and counting the semigroups of a given genus.
Thematic Areas: Mathematics, applied Matemática / probabilidade e estatística Interdisciplinar Computational mathematics Ciência da computação Applied mathematics Algebra and number theory
licence for use: https://creativecommons.org/licenses/by/3.0/es/
Author's mail: maria.bras@urv.cat
Author identifier: 0000-0002-3481-004X
Record's date: 2024-07-27
Papper version: info:eu-repo/semantics/acceptedVersion
Link to the original source: https://www.ams.org/journals/mcom/2018-87-313/S0025-5718-2018-03292-6/home.html
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Papper original source: Mathematics Of Computation. 87 (313): 2539-2550
APA: Bras-Amoros, Maria; Fernandez-Gonzalez, Julio (2018). COMPUTATION OF NUMERICAL SEMIGROUPS BY MEANS OF SEEDS. Mathematics Of Computation, 87(313), 2539-2550. DOI: 10.1090/mcom/3292
Article's DOI: 10.1090/mcom/3292
Entity: Universitat Rovira i Virgili
Journal publication year: 2018
Publication Type: Journal Publications
Repositori URV