Almost symmetric numerical semigroups with given Frobenius number and type
Commutative Algebra
2018-11-16 v2
Abstract
We give two algorithmic procedures to compute the whole set of almost symmetric numerical semigroups with fixed Frobenius number and type, and the whole set of almost symmetric numerical semigroups with fixed Frobenius number. Our algorithms allow to compute the whole set of almost symmetric numerical semigroups with fixed Frobenius number with similar or even higher efficiency that the known ones. They have been implemented in the GAP (http://www.gap-system.org) package NumericalSgps (http://www.gap-system.org/Packages/numericalsgps.html).
Cite
@article{arxiv.1806.11097,
title = {Almost symmetric numerical semigroups with given Frobenius number and type},
author = {M. B. Branco and I. Ojeda and J. C. Rosales},
journal= {arXiv preprint arXiv:1806.11097},
year = {2018}
}
Comments
12 pages, 1 figure. References updated. A conjecture added (Remark 20). Accepted for publication in Journal of Algebra and its Applications