@misc{10481/71813, year = {2021}, month = {11}, url = {http://hdl.handle.net/10481/71813}, 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.}, organization = {European Regional Development Fund}, organization = {Ministerio de Economía, Industria y Competitividad, Gobierno de España}, organization = {Junta de Andalucía FQM-343}, publisher = {Springer Nature}, keywords = {Irreducible numerical semigroups}, keywords = {Second kind gaps}, keywords = {Frobenius number}, keywords = {Trees}, keywords = {Wilf’s conjecture}, title = {On the Enumeration of the Set of Numerical Semigroups with Fixed Frobenius Number and Fixed Number of Second Kind Gaps}, doi = {10.1007/s00025-021-01542-y}, author = {Robles Pérez, Aureliano M. and Rosales González, José Carlos}, }