Now showing items 1-13 of 13

  • Abelian Cayley digraphs with asymptotically large order for any given degree 

    Aguiló Gost, Francisco de Asis L.; Fiol Mora, Miquel Àngel; Pérez Mansilla, Sonia (2016-04-29)
    Article
    Open Access
    Abelian 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 

    Aguiló Gost, Francisco de Asis L.; Fiol Mora, Miquel Àngel; Pérez Mansilla, Sonia (Elsevier, 2016)
    Conference report
    Open Access
    We 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 

    Aguiló Gost, Francisco de Asis L.; Fiol Mora, Miquel Àngel; Pérez Mansilla, Sonia (2016)
    Article
    Open Access
    We 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 

    Aguiló Gost, Francisco de Asis L.; García Sánchez, Pedro A.; Llena, David (2014)
    Article
    Open Access
    We 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 

    Aguiló Gost, Francisco de Asis L.; Barguilla Navarrete, Jorge; Garriga Valle, Ernest; Miralles de la Asunción, Alicia (Edicions UPC, 2002)
    Book
    Restricted access to the UPC academic community
    Conté: 1. Successions, continuïtat i derivació. 2. Integració i sèries.
  • Clasificación de 3-semigrupos numéricos mediante L-formas 

    Aguiló Gost, Francisco de Asis L.; Marijuan López, Carlos (Universidad de Almería, 2012)
    Conference report
    Restricted access - publisher's policy
    Un 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 

    Aguiló Gost, Francisco de Asis L.; Marijuan López, Carlos (2014-06-01)
    Article
    Open Access
    We 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 

    Aguiló Gost, Francisco de Asis L.; Llena, David (2018)
    Article
    Restricted access - publisher's policy
    As 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 

    Aguiló Gost, Francisco de Asis L.; García Sánchez, Pedro A.; Llena, David (2014)
    Article
    Open Access
    Denumerants 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 

    Aguiló Gost, Francisco de Asis L.; García Sánchez, Pedro A. (2009-08-01)
    Article
    Restricted access - publisher's policy
    Given 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 

    Aguiló Gost, Francisco de Asis L.; Miralles de la Asunción, Alicia (Universidad de Almería, 2012)
    Conference report
    Restricted access - publisher's policy
    Sea 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 

    Aguiló Gost, Francisco de Asis L.; García Sánchez, Pedro A.; Llena, David (2015-12-06)
    Article
    Open Access
    Minimum 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 

    Aguiló Gost, Francisco de Asis L.; Miralles de la Asunción, Alicia; Zaragoza Monroig, M. Luisa (Universidad de Almería, 2012)
    Conference report
    Open Access
    En 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 ...