172 citations · 305 across the 36 of their papers we have counts for
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math.CO2022
Quasi-polynomial growth of numerical and affine semigroups with constrained gaps
Michael DiPasquale, Bryan R. Gillespie, Chris Peterson
A common tool in the theory of numerical semigroups is to interpret a desired class of semigroups as the integer lattice points in a rational polyhedron in order to leverage comput…
math.CO2019
A generalization of Wilf's conjecture for Generalized Numerical Semigroups
Carmelo Cisto, Michael DiPasquale, Gioia Failla +3
A numerical semigroup is a submonoid of with finite complement in . A generalized numerical semigroup is a submonoid of with finite compleme…
math.CO2019★ 14 cited
Irreducible Generalized Numerical Semigroups and uniqueness of the Frobenius element
Carmelo Cisto, Gioia Failla, Chris Peterson +1
Let be the -dimensional monoid of non-negative integers. A generalized numerical semigroup is a submonoid such that $H(S)=\mathbb{N}^…