Now showing items 1-18 of 18

  • A formula for the Kirchhoff index 

    Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel (2007-09-30)
    Article
    Open Access
    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 ...
  • Application of the forces' method in dynamic systems 

    Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel (2007-10-11)
    Article
    Open Access
    We present here some applications of the Forces's method in dynamic systems. In particular, we consider the problem of the approximation of the trajectories of a conservative system of point masses by means of the minimization ...
  • Bounds on the first non-null eigenvalue for self-adjoint boundary value problems on networks 

    Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel (2006-09)
    Article
    Open Access
    We aim here at obtaining bounds on the first non-null eigenvalue for self-adjoint boundary value problems on a weighted network by means of equilibrium measures, that includes the study of Dirichlet, Neumann and Mixed ...
  • 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
    Open Access
    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 ...
  • Computational cost of the Fekete problem 

    Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel (2007-10-11)
    Article
    Open Access
    We present here strong numerical and statistical evidence of the fact that the Smale's 7th problem can be answered affirmatively. In particular, we show that a local minimum for the logarithmic potential energy in the ...
  • Desde un biberón hasta una catedral 

    Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos (2010)
    Conference lecture
    Open Access
  • Equilibrium measures on finite networks. Effective resistance and hitting time 

    Carmona Mejías, Ángeles; Bendito Pérez, Enrique; Encinas Bachiller, Andrés Marcos (2001)
    Article
    Open Access
    We aim here at showing how the equilibrium measures for a finite network can be used to obtain simple expressions for both Green and Poisson kernels and hence we can deduce nice expressions of the hitting time and the ...
  • Estimation of Fekete points 

    Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel (2005-05)
    Article
    Open Access
    In this paper we present a new method to estimate Fekete points on surfaces. Although our method works in a general setting, we concentrate on its application to the unit sphere because it is the prototype problem and ...
  • Fekete points in non-smooth surfaces 

    Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel (2006-07)
    Article
    Open Access
    In this paper we present a procedure for the estimation of the Fekete points on a wide variety of non-regular objects in $R^3$. We understand the problem of the Fekete points in terms of the identification of good ...
  • Jacobi matrices and boundary value problems in distance-regular graphs 

    Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gago Álvarez, Silvia (2012-01-25)
    External research report
    Open Access
    In this work we analyze regular boundary value problems on a distance-regular graph associated with SchrÄodinger operators. These problems include the cases in which the boundary has two or one vertices. Moreover, we obtain ...
  • Kirchhoff indexes of a network 

    Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel; Mitjana Riera, Margarida (Elsevier, 2010-04-15)
    Article
    Restricted access - publisher's policy
    In this work we define the effective resistance between any pair of vertices with respect to a value λ ≥ 0 and a weight ω on the vertex set. This allows us to consider a generalization of the Kirchhoff Index of a finite ...
  • 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 ...
  • M-Matrix Inverse problem for distance-regular graphs 

    Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Mitjana Riera, Margarida (2010)
    Conference lecture
    Open Access
  • M-Matrix Inverse problem for distance-regular graphs 

    Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Mitjana Riera, Margarida (Iniciativa Digital Politècnica, 2011)
    Conference report
    Open Access
    We analyze when the Moore–Penrose inverse of the combinatorial Laplacian of a distance–regular graph is a M–matrix;that is, it has non–positive off–diagonal elements or, equivalently when the Moore-Penrose inverse of the ...
  • Monitoring of swelling pressure in bentonite 

    Bendito Pérez, Enrique; Pintado, X. (2016-10)
    Article
    Restricted access - publisher's policy
    This paper presents a methodology for determining the radial swelling pressure that develops in a cylindrical plastic cell when the bentonite sample it contains is hydrated. Strains in the cylindrical cell wall are measured ...
  • Potential Theory for boundary value problems on finite networks 

    Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel (2006-07)
    Article
    Open Access
    We aim here at analyzing self-adjoint boundary value problems on finite networks associated with positive semi-definite Schrödinger operators. In addition, we study the existence and uniqueness of solutions and its ...
  • Regular boundary value problems on a path throughout Chebyshev Polynomials 

    Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel (2006-08)
    Article
    Open Access
    In this work we study the different types of regular boundary value problems on a path associated with the Schrödinger operator. In particular, we obtain the Green function for each problem and we emphasize the case of ...
  • Vector Calculus on weighted networks 

    Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos (2005-01)
    Article
    Open Access
    In this work we study the different type of regular boundary value problems on a path associated with the Schr\"odinger operator. In particular, we get the Poisson kernel and the Green function for each problem and we ...