activity
20202026
most citedTotally Greedy Sequences Defined by Second-Order Linear Recurrences With Constant Coefficients

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.CO2026

Some Families of Greedy Numerical Semigroups

Arnau Messegué-Buisan, Hebert Pérez-Rosés

The change-making problem was recently extended to sets of positive integers not containing the element , and from there to numerical semigroups. A greedy numerical semigroup is…

math.CO2025

Asymptotic Analysis of Central Binomiacci Numbers

Hebert Pérez-Rosés

We make an asymptotic analysis via singularity analysis of generating functions of a number sequence that involves the Fibonacci numbers and generalizes the binomial coefficients.

math.CO2024

Greedy Sets and Greedy Numerical Semigroups

Hebert Pérez-Rosés, José Miguel Serradilla-Merinero, Maria Bras-Amorós

Motivated by the change-making problem, we extend the notion of greediness to sets of positive integers not containing the element , and from there to numerical semigroups. We p…

math.CO2024★ 1 cited

Totally Greedy Sequences Defined by Second-Order Linear Recurrences With Constant Coefficients

Hebert Pérez-Rosés

The change-making problem consists of representing a certain amount of money with the least possible number of coins, from a given, pre-established set of denominations. The greedy…

math.CO2020

Quasi-ordinarization transform of a numerical semigroup

Maria Bras-Amorós, Hebert Pérez-Rosés, José Miguel Serradilla-Merinero

We introduce the quasi-ordinarization transform of a numerical semigroup. This transform will allow to organize all the semigroups of a given genus in a forest rooted at all quasi-…