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arXiv · 1804.06654

On the enumeration of the set of numerical semigroups with fixed Frobenius number and fixed number of second kind gaps

Aureliano M. Robles-Pérez·José Carlos Rosales
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Abstract

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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Aureliano M. Robles-Pérez, José Carlos Rosales. 2018-04-18. On the enumeration of the set of numerical semigroups with fixed Frobenius number and fixed number of second kind gaps. https://doi.org/10.1007/s00025-021-01542-y

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