3 papers
math.CO2015
On the number of L-shapes in embedding dimension four
F. Aguiló-Gost, P. A. García-Sánchez, D. Llena
\textit{Minimum distance diagrams}, also known as \textit{\textsf{L}--shapes}, have been used to study some properties related to \textit{weighted Cayley digraphs} of \textit{degre…
math.CO2012
Constructing the set of complete intersection numerical semigroups with a given Frobenius number
Abdallah Assi, Pedro A. García-Sánchez
Delorme suggested that the set of all complete intersection numerical semigroups can be computed recursively. We have implemented this algorithm, and particularized it to several s…
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…