Exploració per tema "Cayley digraph"

Ara es mostren els items 1-7 de 7

    • 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)
      Text en actes de congrés
      Accés obert
      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
      Accés obert
      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. ...

    • 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
      Accés obert
      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, ...

    • Classification of numerical 3-semigroups by means of L-shapes 

      Aguiló Gost, Francisco de Asis L.; Marijuan López, Carlos (2014-06-01)
      Article
      Accés obert
      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 ...

    • Comments on “Extremal Cayley Digraphs of Finite Abelian Groups” [Intercon. Networks 12 (2011), no. 1-2, 125–135] 

      Fiol Mora, Miquel Àngel (2013-12)
      Article
      Accés obert
      We comment on the paper “Extremal Cayley digraphs of finite Abelian groups” [Intercon. Networks 12 (2011), no. 1-2, 125–135]. In particular, we give some counterexamples to the results presented there, and provide a correct ...

    • On congruence in $Z^n$ and the dimension of a multidimensional circulant 

      Fiol Mora, Miquel Àngel (Elsevier, 1995)
      Article
      Accés obert
      From a generalization to $Z^n$ of the concept of congruence we define a family of regular digraphs or graphs called multidimensional circulants, which turn to be Cayley (di)graphs of Abelian groups. This paper is mainly ...

    • The multidimensional Manhattan networks 

      Comellas Padró, Francesc de Paula; Dalfó Simó, Cristina; Fiol Mora, Miquel Àngel (2007)
      Article
      Accés obert
      The $n$-dimensional Manhattan network $M_n$---a special case of $n$-regular digraph---is formally defined and some of its structural properties are studied. In particular, it is shown that $M_n$ is a Cayley digraph, ...