4 papers
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…
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.
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…
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…