55 citations · 229 across the 44 of their papers we have counts for
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math.OC2010★ 1 cited
On the computation of the Omega invariant of a numerical semigroup by optimizing over an efficient integer set
Víctor Blanco
In this paper we present a mathematical formulation for the omega invariant of a numerical semigroup for each of its minimal generators. The model consists of solving a problem of…
math.AC2010
Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids
Víctor Blanco, Pedro A. García-Sánchez, Alfred Geroldinger
Arithmetical invariants---such as sets of lengths, catenary and tame degrees---describe the non-uniqueness of factorizations in atomic monoids. We study these arithmetical invarian…
math.AC2010
m-irreducible numerical semigroups
V. Blanco, J. C. Rosales
In this paper we introduce the notion of m-irreducibility that extends the standard concept of irreducibility of a numerical semigroup when the multiplicity is fixed. We analyze th…