activity
20112023
most citednumericalsgps, a GAP package for numerical semigroups

55 citations · 98 across the 9 of their papers we have counts for

collaborators

10 papers

cs.FL2023

Kunz languages for numerical semigroups are context sensitive

Manuel Delgado, Jaume Usó i Cubertorer

There is a one-to-one and onto correspondence between the class of numerical semigroups of depth , where is an integer, and a certain language over the alphabet $\{1,\ldots,…

math.CO2019★ 1 cited

Trimming the numerical semigroups tree to probe Wilf's conjecture to higher genus

Manuel Delgado

This paper aims to contribute to validate, for numerical semigroups of reasonably large genus, the so-called Conjecture of Wilf. There is no counter-example for the conjecture amon…

math.CO2019

Algorithms for Generalized Numerical Semigroups

Carmelo Cisto, Manuel Delgado, Pedro A. García-Sánchez

We provide algorithms for performing computations in generalized numerical semigroups, that is, submonoids of with finite complement in . These sem…

math.CO2019

Conjecture of Wilf: a survey

Manuel Delgado

This paper intends to survey the vast literature devoted to a problem posed by Wilf in 1978 which, despite the attention it attracted, remains unsolved. As it frequently happens wi…

math.CO2016★ 1 cited

On a question of Eliahou and a conjecture of Wilf

Manuel Delgado

To a numerical semigroup , Eliahou associated a number and proved that numerical semigroups for which the associated number is non negative satisfy Wilf's conjecture. The…

math.AC2015★ 55 cited

numericalsgps, a GAP package for numerical semigroups

Manuel Delgado, Pedro A. García Sánchez

The package numericalsgps performs computations with and for numerical semigroups. Recently also affine semigroups are admitted as objects for calculations. This manuscript is a su…

math.CO2013★ 18 cited

On the weight hierarchy of codes coming from semigroups with two generators

M. Delgado, J. I. Farrán, P. A. García-Sánchez +1

The weight hierarchy of one-point algebraic geometry codes can be estimated by means of the generalized order bounds, which are described in terms of a certain Weierstrass semigrou…

math.AC2013★ 7 cited

Numerical semigroups problem list

Manuel Delgado, Pedro A. Garcia-Sanchez, José C. Rosales

We propose a list of open problems in numerical semigroups.

math.RA2012★ 2 cited

Rees quotients of numerical semigroups

Manuel Delgado, Vítor H. Fernandes

We introduce a class of finite semigroups obtained by considering Rees quotients of numerical semigroups. Several natural questions concerning this class, as well as particular sub…

math.NT2011★ 14 cited

On the generalized Feng-Rao numbers of numerical semigroups generated by intervals

M. Delgado, J. I. Farrán, P. A. García-Sánchez +1

We give some general results concerning the computation of the generalized Feng-Rao numbers of numerical semigroups. In the case of a numerical semigroup generated by an interval,…