On the enumeration of the set of numerical semigroups with fixed Frobenius number and fixed number of second kind gaps
arXiv:1804.06654 · doi:10.1007/s00025-021-01542-y
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.
18 pages, 2 figures