On the Enumeration of the Set of Numerical Semigroups with Fixed Frobenius Number and Fixed Number of Second Kind Gaps

被引：0
|
作者：
Aureliano M. Robles-Pérez
José Carlos Rosales
机构：
[1] Universidad de Granada,Departamento de Matemática Aplicada & Instituto de Matemáticas (IMAG)
[2] Universidad de Granada,Departamento de Álgebra & Instituto de Matemáticas (IMAG)
来源：
Results in Mathematics | 2022年 / 77卷
关键词：
Irreducible numerical semigroups; second kind gaps; Frobenius number; trees; Wilf’s conjecture; 20M14; 11Y16;
D O I：
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摘要：
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.
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