55 citations · 229 across the 44 of their papers we have counts for
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A semidefinite programming approach for solving Multiobjective Linear Programming
Víctor Blanco, Justo Puerto, Safae El-Haj Ben-Ali
Several algorithms are available in the literature for finding the entire set of Pareto-optimal solutions in MultiObjective Linear Programming (MOLP). However, it has not been prop…
A Semidefinite Programming approach for minimizing ordered weighted averages of rational functions
V. Blanco, S. El-Haj Ben-Ali, J. Puerto
This paper considers the problem of minimizing the ordered weighted average (or ordered median) function of finitely many rational functions over compact semi-algebraic sets. Order…
A semilattice structure for the set of numerical semigroups with fixed Frobenius number
V. Blanco, J. C. Rosales
We present a procedure to enumerate the whole set of numerical semigroups with a given Frobenius number F, S(F). The methodology is based on the construction of a partition of S(F)…
The tree of irreducible numerical semigroups with fixed Frobenius number
V. Blanco, J. C. Rosales
In this paper we present a procedure to build the set of irreducible numerical semigroups with a fixed Frobenius number. The construction gives us a rooted tree structure for this…
Irreducible numerical semigroups with multiplicity three and four
Víctor Blanco
In this paper we analyze the irreducibility of numerical semigroups with multiplicity up to four. Our approach uses the notion of Kunz-coordinates vector of a numerical semigroup r…
Integer Programming and m-irreducibility of numerical semigroups
Víctor Blanco, Justo Puerto
This paper addresses the problem of decomposing a numerical semigroup into m-irreducible numerical semigroups. The problem originally stated in algebraic terms is translated, intro…