We 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 ...

La determinación del espectro de un grafo es de interés por la conexión que los autovalores y sus multiplicidades tienen con invariantes y propiedades topológicas del grafo, como el diámetro, conectividad, expansión, ...

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.

The line model assumes long distance calls between non neighboring processors. In this sense, the line model is strongly related to circuit-switched networks, wormhole routing, optical networks supporting wavelength ...

We aim here at determining the Green function for general Schrödinger operators on product networks. The first step consists in expressing Schrödinger operators on a product network as sum of appropriate Schrödinger operators ...

Any elliptic operator defines an automorphism on the orthogonal subspace to the eigenfunctions associated with the lowest eigenvalue, whose inverse is the orthogonal Green operator. In this study, we show that elliptic ...