Browsing by Author "Bendito Pérez, Enrique"

A formula for the Kirchhoff index
Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel (20070930)
Article
Open AccessWe show here that the Kirchhoff index of a network is the average of the Wiener capacities of its vertices. Moreover, we obtain a closedform 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 (20071011)
Article
Open AccessWe 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 nonnull eigenvalue for selfadjoint boundary value problems on networks
Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel (200609)
Article
Open AccessWe aim here at obtaining bounds on the first nonnull eigenvalue for selfadjoint boundary value problems on a weighted network by means of equilibrium measures, that includes the study of Dirichlet, Neumann and Mixed ... 
Characterization of symmetric Mmatrices as resistive inverses
Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel (20070125)
Article
Open AccessWe 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 (20071011)
Article
Open AccessWe 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 AccessWe 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 (200505)
Article
Open AccessIn 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 nonsmooth surfaces
Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gesto Beiroa, José Manuel (200607)
Article
Open AccessIn this paper we present a procedure for the estimation of the Fekete points on a wide variety of nonregular 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 distanceregular graphs
Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Gago Álvarez, Silvia (20120125)
External research report
Open AccessIn this work we analyze regular boundary value problems on a distanceregular 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, 20100415)
Article
Restricted access  publisher's policyIn 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 AccessEn 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 ... 
MMatrix Inverse problem for distanceregular graphs
Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Mitjana Riera, Margarida (2010)
Conference lecture
Open Access 
MMatrix Inverse problem for distanceregular graphs
Bendito Pérez, Enrique; Carmona Mejías, Ángeles; Encinas Bachiller, Andrés Marcos; Mitjana Riera, Margarida (Iniciativa Digital Politècnica, 2011)
Conference report
Open AccessWe 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 MoorePenrose inverse of the ... 
Monitoring of swelling pressure in bentonite
Bendito Pérez, Enrique; Pintado, X. (201610)
Article
Restricted access  publisher's policyThis 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 (200607)
Article
Open AccessWe aim here at analyzing selfadjoint boundary value problems on finite networks associated with positive semidefinite 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 (200608)
Article
Open AccessIn 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 (200501)
Article
Open AccessIn 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 ...