Articles de revista: Recent submissions
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Green matrices associated with generalized linear polyominoes
(Elsevier, 2015)
Article
Open AccessA polyomino is an edgeconnected union of cells in the planar square lattice. Here we consider generalized linear polyominoes; that is, the polyominoes supported by an n Ã— 2 lattice. In this paper, we obtain the ... 
On the nucleolus of 2 × 2 assignment games
(2013)
Article
Open AccessWe 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
(201311)
Article
Restricted access  publisher's policyThe assignment game introduced by Shapley and Shubik (1972) [6] is a model for a twosided market where there is an exchange of indivisible goods for money and buyers or sellers demand or supply exactly one unit of the ... 
Kirchhoff indexes of a network
(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 ... 
A formula for the Kirchhoff index
(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
(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 ... 
Computational cost of the Fekete problem
(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 ... 
Characterization of symmetric Mmatrices as resistive inverses
(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 ... 
Potential Theory for boundary value problems on finite networks
(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 ... 
Bounds on the first nonnull eigenvalue for selfadjoint boundary value problems on networks
(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 ... 
Regular boundary value problems on a path throughout Chebyshev Polynomials
(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
(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 ...