Enviaments recents

  • The group inverse of subdivision networks 

    Carmona Mejías, Ángeles; Mitjana Riera, Margarida; Monsó Burgués, Enrique P.J. (2016-10)
    Article
    Accés restringit per política de l'editorial
    In this paper, given a network and a subdivision of it, we show how the Group Inverse of the subdivision network can be related to the Group Inverse of initial given network. Our approach establishes a relationship between ...
  • A family of mixed graphs with large order and diameter 2 

    Araujo Pardo, Gabriela; Balbuena Martínez, Maria Camino Teófila; Miller, Mirka; Zdimalova, Maria (2017-02)
    Article
    Accés restringit per política de l'editorial
    A mixed regular graph is a connected simple graph in which each vertex has both a fixed outdegree (the same indegree) and a fixed undirected degree. A mixed regular graphs is said to be optimal if there is not a mixed ...
  • Kirchhoff index of a non-complete wheel 

    Gago Álvarez, Silvia (2016)
    Article
    Accés restringit per política de l'editorial
    In this work, we compute analitycally the Kirchhoff index and effective resistances of a weighted non–complete wheel that has been obtained by adding a vertex to a weighted cycle and some edges conveniently chosen. To this ...
  • Effective resistances and Kirchhoff index in subdivision networks 

    Carmona Mejías, Ángeles; Mitjana Riera, Margarida; Monsó Burgués, Enrique P.J. (Taylor & Francis, 2016-11-12)
    Article
    Accés obert
    We define a subdivision network ¿S of a given network ¿; by inserting a new vertex in every edge, so that each edge is replaced by two new edges with conductances that fulfill electrical conditions on the new network. In ...
  • Combinatorial recurrences and linear difference equations 

    Jiménez Jiménez, M. Jose; Encinas Bachiller, Andrés Marcos (2016-10-17)
    Article
    Accés restringit per política de l'editorial
    In this work we introduce the triangular arrays of depth greater than 1 given by linear recurrences, that generalize some well known recurrences that appear in enumerative combinatorics. In particular, we focussed on ...
  • Overdetermined partial boundary value problems on finite networks 

    Arauz Lombardía, Cristina; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos (2015-03-01)
    Article
    Accés restringit per política de l'editorial
    In this study, we define a class of non-self-adjoint boundary value problems on finite networks associated with Schrodinger operators. The novel feature of this study is that no data are prescribed on part of the boundary, ...
  • Recovering the conductances on grids: A theoretical justification 

    Arauz Lombardía, Cristina; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Mitjana Riera, Margarida (2016)
    Article
    Accés obert
    In this work, we present an overview of the work developed by the authors in the context of inverse problems on nite networks. This study performs an extension of the pioneer studies by E.B. Curtis and J.A. Morrow, ...
  • On the acyclic disconnection and the girth 

    Balbuena Martínez, Maria Camino Teófila; Olsen, Mika (2015-05-11)
    Article
    Accés obert
    The acyclic disconnection, (omega) over right arrow (D), of a digraph D is the maximum number of connected components of the underlying graph of D - A(D*), where D* is an acyclic subdigraph of D. We prove that (omega) over ...
  • Small regular graphs of girth 7 

    Abreu, Marien; Araujo Pardo, Gabriela; Balbuena Martínez, Maria Camino Teófila; Labbate, D.; Salas Salvado, Jordi (2015-07-01)
    Article
    Accés obert
    In this paper, we construct new infinite families of regular graphs of girth 7 of smallest order known so far. Our constructions are based on combinatorial and geometric properties of (q + 1, 8)-cages, for q a prime power. ...
  • Dirichlet-to-Robin maps on finite networks 

    Arauz Lombardía, Cristina; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos (2015-04-01)
    Article
    Accés obert
    Our aim is to characterize those matrices that are the response matrix of a semi positive definite Schrodinger operator on a circular planar network. Our findings generalize the known results and allow us to consider both ...

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