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

dc.contributor.authorRobles Pérez, Aureliano M. 
dc.contributor.authorRosales González, José Carlos 
dc.date.accessioned2021-11-29T11:10:56Z
dc.date.available2021-11-29T11:10:56Z
dc.date.issued2021-11-12
dc.identifier.citationRobles-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]es_ES
dc.identifier.urihttp://hdl.handle.net/10481/71813
dc.descriptionBoth authors are supported by the Project MTM2017-84890-P (funded by Ministerio de Economía, Industria y Competitividad and Fondo Europeo de Desarrollo Regional FEDER) and by the Junta de Andalucía Grant Number FQM-343. The authors would like to thank the referee for useful comments and suggestions that have helped us to improve the manuscript.es_ES
dc.description.abstractWe 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.es_ES
dc.description.sponsorshipEuropean Regional Development Fundes_ES
dc.description.sponsorshipMinisterio de Economía, Industria y Competitividad, Gobierno de Españaes_ES
dc.description.sponsorshipJunta de Andalucía FQM-343es_ES
dc.language.isoenges_ES
dc.publisherSpringer Naturees_ES
dc.rightsAtribución 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subjectIrreducible numerical semigroupses_ES
dc.subjectSecond kind gapses_ES
dc.subjectFrobenius numberes_ES
dc.subjectTrees es_ES
dc.subjectWilf’s conjecturees_ES
dc.titleOn the Enumeration of the Set of Numerical Semigroups with Fixed Frobenius Number and Fixed Number of Second Kind Gapses_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.1007/s00025-021-01542-y
dc.type.hasVersionVoRes_ES


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