Browsing by Author "Aguiló Gost, Francisco de Asis L."
Now showing items 1-13 of 13
-
Abelian Cayley digraphs with asymptotically large order for any given degree
(2016-04-29)
Article
Open AccessAbelian Cayley digraphs can be constructed by using a generalization to Z(n) of the concept of congruence in Z. Here we use this approach to present a family of such digraphs, which, for every fixed value of the degree, ... -
A geometric approach to dense Cayley digraphs of finite Abelian groups
(Elsevier, 2016)
Conference report
Open AccessWe give a method for constructing infinite families of dense (or eventually likely dense) Cayley digraphs of finite Abelian groups. The diameter of the digraphs is obtained by means of the related {\em minimum distance ... -
A geometric approach to dense Cayley digraphs of finite Abelian groups
(2016)
Article
Open AccessWe give a method for constructing infinite families of dense (or eventually likely dense) Cayley digraphs of finite Abelian groups. The diameter of the digraphs is obtained by means of the related minimum distance diagrams. ... -
An algorithm to compute the primitive elements of an embedding dimension three numerical semigroups
(2014)
Article
Open AccessWe give an algorithm to compute the set of primitive elements for an embedding dimension three numerical semigroups. We show how we use this procedure in the study of the construction of L-shapes and the tame degree of the ... -
Aprenentatge de càlcul
(Edicions UPC, 2002)
Book
Restricted access to the UPC academic communityConté: 1. Successions, continuïtat i derivació. 2. Integració i sèries. -
Clasificación de 3-semigrupos numéricos mediante L-formas
(Universidad de Almería, 2012)
Conference report
Restricted access - publisher's policyUn semigrupo num erico generado por tres elementos tiene asociadas una o dos teselaciones peri odicas del plano generadas por una baldosa en forma de L. Se conocen algunas propiedades combinatorias del semigrupo en t ... -
Classification of numerical 3-semigroups by means of L-shapes
(2014-06-01)
Article
Open AccessWe recall L-shapes, which are minimal distance diagrams, related to weighted 2-Cayley digraphs, and we give the number and the relation between minimal distance diagrams related to the same digraph. On the other hand, we ... -
Computing denumerants in numerical 3-semigroups
(2018)
Article
Restricted access - publisher's policyAs far as we know, usual computer algebra packages can not compute denumerants for almost medium (about a hundred digits) or almost medium-large (about a thousand digits) input data in a reasonably time cost on an ordinary ... -
Denumerants of 3-numerical semigroups
(2014)
Article
Open AccessDenumerants of numerical semigroups are known to be difficult to obtain, even with small embedding dimension of the semigroups. In this work we give some results on denumerants of 3-semigroups S=<a,b,c>S=<a,b,c>. Closed ... -
Factorization and catenary degree in 3-generated numerical semigroups
(2009-08-01)
Article
Restricted access - publisher's policyGiven a numerical semigroup S(A), generated by A = {a,b,N} ⊂ N with 0 < a < b < N and gcd(a,b,N) = 1, we give a parameterization of the set F(m;A) = {(x, y, z) ∈ $N^3$ | xa + yb + zN = m} for any m ∈ S(A). We also give the ... -
Familias infinitas de digrafos de Cayley de grado 2 óptimos sobre grupos abelianos finitos
(Universidad de Almería, 2012)
Conference report
Restricted access - publisher's policySea GN un grupo abeliano finito de orden N. Para cada conjunto de generadores f, g = GN, consideremos el digrafo de Cayley Cay(GN, {f, g}). Seg´un sea GN c´ıclico o no c´ıclico, podemos obtener un di´ametro ´optimo ... -
On the number of L-shapes in embedding dimension four numerical semigroups
(2015-12-06)
Article
Open AccessMinimum distance diagrams, also known as L-shapes, have been used to study some properties related to weighted Cayley digraphs of degree two and embedding dimension three numerical semigroups. In this particular case, it ... -
Propiedades estructurales en 2-digrafos de Cayley óptimos sobre grupos abelianos finitos
(Universidad de Almería, 2012)
Conference report
Open AccessEn este trabajo se presentan algunas propiedades estructurales de los digrafos de Cayley de grado dos con diámetro óptimo, sobre grupos finitos abelianos. En particular, cuando el grupo no es cíclico, todos los digrafos ...
