On the Enumeration of the Set of Numerical Semigroups with Fixed Frobenius Number and Fixed Number of Second Kind Gaps-Reference-Cited by-同舟云学术

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

Published:2021-11-12 Issue:1 Volume:77 Page:
ISSN:1422-6383
Container-title:Results in Mathematics
language:en
Short-container-title:Results Math

Author:

Robles-Pérez Aureliano M.^ORCID,Rosales José Carlos^ORCID

Abstract

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.

Funder

Ministerio de Economía, Industria y Competitividad, Gobierno de España

Consejería de Transformación Económica, Industria, Conocimiento y Universidades

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1007/s00025-021-01542-y.pdf

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