On the Enumeration of the Set of Numerical Semigroups with Fixed Frobenius Number and Fixed Number of Second Kind Gaps
Metadatos
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Springer Nature
Materia
Irreducible numerical semigroups Second kind gaps Frobenius number Trees Wilf’s conjecture
Date
2021-11-12Referencia bibliográfica
Robles-Pérez, A.M., Rosales, J.C. On the Enumeration of the Set of Numerical Semigroups with Fixed Frobenius Number and Fixed Number of Second Kind Gaps. Results Math 77, 10 (2022). [https://doi.org/10.1007/s00025-021-01542-y]
Patrocinador
European Regional Development Fund; Ministerio de Economía, Industria y Competitividad, Gobierno de España; Junta de Andalucía FQM-343Résumé
We study how certain invariants of numerical semigroups relate to the number of second kind gaps. Furthermore, given two fixed non-negative integers F and k, we provide an algorithm to compute all the numerical semigroups whose Frobenius number is F and which have exactly k second kind gaps.