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Bounded solutions of self-adjoint second order linear difference equations with periodic coefficients
(2018-02-25)
Article
Open AccessIn this work we obtain easy characterizations for the boundedness of the solutions of the discrete, self–adjoint, second order and linear unidimensional equations with periodic coefficients, including the analysis of the ... -
Second order linear difference equations
(2017-12-04)
Article
Open AccessWe provide the explicit solution of a general second order linear difference equation via the computation of its associated Green function. This Green function is completely characterized and we obtain a closed expression ... -
Vertex-disjoint cycles in bipartite tournaments
(2016-10)
Article
Open AccessLet k=2 be an integer. Bermond and Thomassen conjectured that every digraph with minimum out-degree at least 2k-1 contains k vertex-disjoint cycles. Recently Bai, Li and Li proved this conjecture for bipartite digraphs. ... -
Explicit inverse of a tridiagonal (p,r)-Toeplitz matrix
(Elsevier, 2018-04-01)
Article
Open AccessWe have named tridiagonal (p,r)–Toeplitz matrix to those tridiagonal matrices in which each diagonal is a quasi–periodic sequence, d(p+j)=rd(j), so with period p¿N but multiplied by a real number r. We present here the ... -
Equilibrium measures on finite networks. Effective resistance and hitting time
(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 ... -
Dirichlet-to-Robin matrix on networks
(2014)
Article
Open AccessIn this work, we de ne the Dirichlet{to{Robin matrix associated with a Schr odinger type matrix on general networks, and we prove that it satis es the alternating property which is essential to characterize those matrices ... -
Recovering the conductances on grids
(2014)
Article
Restricted access - publisher's policyIn this work, we present an algorithm to the recovery of the conductance of a 2– dimensional grid. The algorithm is based in the solution of some overdetermined partial boundary value problems defined on the grid. -
Resistance distances on networks
(2017)
Article
Open AccessThis paper aims to study a family of distances in networks associated witheffective resistances. Speci cally, we consider the e ective resistance distance with respect to a positive parameter and a weight on the vertex ... -
The group inverse of subdivision networks
(2016-10)
Article
Open AccessIn this paper, given a network and a subdivision of it, we show how the Group Inverse of the subdivision network can be related to the Group Inverse of initial given network. Our approach establishes a relationship between ... -
A family of mixed graphs with large order and diameter 2
(2017-02)
Article
Open AccessA mixed regular graph is a connected simple graph in which each vertex has both a fixed outdegree (the same indegree) and a fixed undirected degree. A mixed regular graphs is said to be optimal if there is not a mixed ... -
Kirchhoff index of a non-complete wheel
(2016)
Article
Open AccessIn 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 ... -
Effective resistances and Kirchhoff index in subdivision networks
(Taylor & Francis, 2016-11-12)
Article
Open AccessWe define a subdivision network ¿S of a given network ¿; by inserting a new vertex in every edge, so that each edge is replaced by two new edges with conductances that fulfill electrical conditions on the new network. In ...
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