10 citations · 18 across the 6 of their papers we have counts for
6 papers
On the enumeration of the set of numerical semigroups with fixed Frobenius number and fixed number of second kind gaps
Aureliano M. Robles-Pérez, José Carlos Rosales
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 algorith…
On a transport problem and monoids of non-negative integers
Aureliano M. Robles-Pérez, José Carlos Rosales
A problem about how to transport profitably a group of cars leads us to study the set formed by the integers such that the system of inequalities, with non-negative integer…
A combinatorial problem and numerical semigroups
Aureliano M. Robles-Pérez, José Carlos Rosales
Let and be two -tuples of positive integers, let be a set of positive integers, and let be a positive integer. In this work we…
Numerical semigroups in a problem about economic incentives for consumers
Aureliano M. Robles-Pérez, José Carlos Rosales
Motivated by a promotion to increase the number of musical downloads, we introduce the concept of -incentive and show an algorithm that compute the smallest -incentive contai…
Frobenius restricted varieties in numerical semigroups
Aureliano M. Robles-Pérez, José Carlos Rosales
The common behaviour of many families of numerical semigroups led up to defining, firstly, the Frobenius varieties and, secondly, the (Frobenius) pseudo-varieties. However, some in…
Numerical semigroups with a given set of pseudo-Frobenius numbers
M. Delgado, P. A. García-Sánchez, A. M. Robles-Pérez
The pseudo-Frobenius numbers of a numerical semigroup are those gaps of the numerical semigroup that are maximal for the partial order induced by the semigroup. We present a proced…