Now showing items 1-12 of 26

    • Green matrices associated with generalized linear polyominoes 

      Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Mitjana Riera, Margarida (Elsevier, 2015)
      Article
      Open Access
      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 matrices of weighted graphs with pendant vertices 

      Gago Álvarez, Silvia (2014)
      Lecture
      Open Access
    • On the nucleolus of 2 × 2 assignment games 

      Martínez De Albeniz, Javier; Rafels Pallarola, Carlos; Ybern Carballo, María de las Nieves (2013)
      Article
      Open Access
      We provide explicit formulas for the nucleolus of an arbitrary assignment game with two buyers and two sellers. Five different cases are analyzed depending on the entries of the assignment matrix. We extend the results to ...
    • A procedure to compute the nucleolus of the assignment game 

      Martínez De Albeniz, Javier; Rafels Pallarola, Carlos; Ybern Carballo, María de las Nieves (2013-11)
      Article
      Restricted access - publisher's policy
      The assignment game introduced by Shapley and Shubik (1972) [6] is a model for a two-sided market where there is an exchange of indivisible goods for money and buyers or sellers demand or supply exactly one unit of the ...
    • La función de Green y el índice de Kirchhoff de redes cluster 

      Arauz Lombardía, Cristina; Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos (2010)
      Conference lecture
      Open Access
      En este trabajo determinamos las Funciones de Green, respecto de un peso fijado sobre los vértices, en una amplia clase de redes compuestas que se engloban bajo la denominación de redes cluster. También aplicamos las ...
    • Green function on product networks 

      Arauz Lombardía, Cristina; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos (2012)
      Conference lecture
      Restricted access - publisher's policy
      Our objective is to determine the Green function of product networks in terms of the Green function of one of the factor networks and the eigenvalues and eigenfunctions of the Schr odinger operator of the other factor ...
    • Boundary value problems for Schrödinger operators on a Path Associated to Orthogonal Polynomials 

      Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gago Álvarez, Silvia (Springer, 2013)
      Part of book or chapter of book
      Restricted access - publisher's policy
      In this work, we concentrate on determining explicit expressions, via suitable orthogonal polynomials on the line, for the Green function associated with any regular boundary value problem on a weighted path, whose weights ...
    • Two-side boundary value problems in distance-regular graphs 

      Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gago Álvarez, Silvia (Universidad de Almería, 2012)
      Conference lecture
      Open Access
      In this work we analyze regular boundary value problems on a distanceregular graph associated with Schr¨odinger operators in the case that the boundary has two vertices. Moreover, we obtain the Green matrix for each ...
    • The Green function of a perturbed network 

      Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Mitjana Riera, Margarida (2012)
      Conference lecture
      Open Access
      The díscrete Green functions and their relationship whit discrete Laplace equations have deserved the interest of many researchs useing different approac. In this work we derive the Green function of a perturbed network ...
    • Generalized linear polyominoes, Green functions and Green matrices 

      Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Mitjana Riera, Margarida (2012)
      Conference lecture
      Open Access
      In this work we derive the Creen function of a generalized linear Polyomino as a suitable perturbation of the Creen function of a Hamiltonian path on it. So, our study encompasses previous work:; on polyomino-like chains.
    • Boundary value problems for Schrödinger operators on a path 

      Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gago Álvarez, Silvia (2012-05-25)
      External research report
      Open Access
      In this work, we concentrate on determining explicit expressions, via suitable orthogonal polynomials on the line, for the Green function associated with any regular boundary value problem on a weighted path, whose weights ...
    • Betweenness-selfcentric graphs 

      Gago Álvarez, Silvia; Hurajová, Jana; Madaras, Tomas (2012-04-11)
      External research report
      Open Access
      The betweenness centrality of a vertex of a graph is the portion of shortest paths between all pairs of vertices passing through that vertex. In this paper, we study properties and constructions of graphs whose vertices ...