Now showing items 1-20 of 21

    • 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. ...
    • A preliminary model for optimal load distribution in heterogeneous smart environments 

      García Almiñana, Jordi; Aguiló Gost, Francisco de Asis L.; Simó Mezquita, Ester; Zaragoza Monroig, M. Luisa; Masip Bruin, Xavier; LU, Yunsong; Prieto González, Andrés; Molinas Ramón, Joan (2019)
      Conference report
      Restricted access - publisher's policy
      Smart cities are becoming popular and, with them, a plethora of resources is emerging turning into a massive concentration of computing devices. In such environments, the deployment of a smart resources management system ...
    • 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, ...
    • 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
      Open Access
      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 ...
    • Control – 1A de Matemàtica Discreta [Curs 2019-2020] - Q2 

      Aguiló Gost, Francisco de Asis L. (Universitat Politècnica de Catalunya, 2020-03-30)
      Exam
      Restricted access to the UPC academic community
    • Control – 1B de Matemàtica Discreta [Curs 2019-2020] - Q2 

      Aguiló Gost, Francisco de Asis L. (Universitat Politècnica de Catalunya, 2020-03-30)
      Exam
      Restricted access to the UPC academic community
    • 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 ...
    • MATEMÀTICA DISCRETA (Examen 1r quadrimestre) [Curs 2019-2020] 

      Aguiló Gost, Francisco de Asis L. (Universitat Politècnica de Catalunya, 2019-11-06)
      Exam
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    • MATEMÀTICA DISCRETA (Examen final - 1r quadrimestre) [Curs 2019-2020] 

      Aguiló Gost, Francisco de Asis L. (Universitat Politècnica de Catalunya, 2020-01-13)
      Exam
      Restricted access to the UPC academic community
    • MATEMÀTICA DISCRETA (Examen parcial 2 - 1r quadrimestre) [Curs 2019-2020] 

      Aguiló Gost, Francisco de Asis L. (Universitat Politècnica de Catalunya, 2020-01-13)
      Exam
      Restricted access to the UPC academic community
    • MATEMÀTICA DISCRETA (Examen reavaluació - 1r quadrimestre) [Curs 2019-2020] 

      Aguiló Gost, Francisco de Asis L. (Universitat Politècnica de Catalunya, 2020-01-27)
      Exam
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    • MATEMÀTICA DISCRETA (Examen reavaluació - 2n quadrimestre) [Curs 2019-2020] 

      Aguiló Gost, Francisco de Asis L. (Universitat Politècnica de Catalunya, 2020-06-22)
      Exam
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    • 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 ...