Exploració per tema "Kirchhoff index"

Ara es mostren els items 1-7 de 7

    • A formula for the Kirchhoff index 

      Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel (2007-09-30)
      Article
      Accés obert
      We show here that the Kirchhoff index of a network is the average of the Wiener capacities of its vertices. Moreover, we obtain a closed-form formula for the effective resistance between any pair of vertices when the ...

    • Characterization of symmetric M-matrices as resistive inverses 

      Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel (2007-01-25)
      Article
      Accés obert
      We aim here at characterizing those nonnegative matrices whose inverse is an irreducible Stieltjes matrix. Specifically, we prove that any irreducible Stieltjes matrix is a resistive inverse. To do that we consider the ...

    • Green matrices associated with generalized linear polyominoes 

      Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Mitjana Riera, Margarida (Elsevier, 2015)
      Article
      Accés obert
      A polyomino is an edge-connected union of cells in the planar square lattice. Here we consider generalized linear polyominoes; that is, the polyominoes supported by an n × 2 lattice. In this paper, we obtain the ...

    • Green's function in partial subdivision networks 

      Carmona Mejías, Ángeles; Mitjana Riera, Margarida; Monsó Burgués, Enrique P.J. (Taylor & Francis, 2018-07-24)
      Article
      Accés obert
      In the present work, we define a partial subdivision network of a given network G, by inserting a new vertex in some selected edges of G, so that each of these edges is replaced by two new edges with conductances that ...

    • Group inverse matrix of the normalized Laplacian on subdivision networks 

      Carmona Mejías, Ángeles; Mitjana Riera, Margarida; Monsó Burgués, Enrique P.J. (2020)
      Article
      Accés obert
      In this paper we consider a subdivision of a given network and we show how the group inverse matrix of the normalized laplacian of the subdivision network is related to the group inverse matrix of the normalized laplacian ...

    • Group inverse of the laplacian of connections of networks 

      Gago Álvarez, Silvia (2018-03-25)
      Report de recerca
      Accés restringit per política de l'editorial
      In previous works the group inverse of a network obtained by some perturbations, as the deletion of a vertex, the addition of a new vertex, contraction of an edge, etc. is obtained in terms of the group inverse of the ...

    • Kirchhoff index of a non-complete wheel 

      Gago Álvarez, Silvia (2016)
      Article
      Accés obert
      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 ...