Now showing items 1-20 of 37

• Acte de reconeixement al professor Sebastià Xambó a l'FME ﻿

(2015-09-15)
Audiovisual
Open Access
La Facultat de Matemàtiques i Estadística de la UPC organitza un acte de reconeixement a la trajectòria acadèmica del professor Sebastià Xambó, que fou degà de l'FME des de l'any 2003 fins l'any 2009. L'acte tindrà lloc ...
• Computing the Green function for a Dirichlet problem on spider networks ﻿

(2018)
Conference report
Open Access
• Cycles in the cycle prefix digraph ﻿

(2000)
Article
Open Access
Cycle prefix digraphs are a class of Cayley coset graphs with many remarkable properties such as symmetry, large number of nodes for a given degree and diameter, simple shortest path routing, Hamiltonicity, optimal ...
• Effective resistances and Kirchhoff index in subdivision networks ﻿

(Taylor & Francis, 2016-11-12)
Article
Open Access
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 ...
• Effective resistances and Kirchhoff index in subdivision networks ﻿

(2016)
Conference report
Restricted access - publisher's policy
In this work we compute the effective resistances and the Kirchhoff Index of subdivision networks in terms of the corresponding parameters of the original network. Our techniques are based on the study of discrete operators ...
• El espectro del digrafo mariposa ﻿

(A. Márquez, 2002-09)
Conference report
Open Access
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, ...
• Funciones de green en redes producto ﻿

Conference report
Restricted access - publisher's policy
En esta comunicación presentaremos la versión discreta del método de separación de variables para determinar la función de Green de redes producto en términos de la función de Green de uno de las redes factores y los ...
• Generalized linear polyominoes, Green functions and Green matrices ﻿

(2012)
Conference lecture
Open Access
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.
• Gossiping in chordal rings under the line model ﻿

(2000)
Article
Open Access
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 ...
• Green matrices associated with generalized linear polyominoes ﻿

(Elsevier, 2015)
Article
Open Access
A polyomino is an edge-connected 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 ...
• Green operators of networks with a new vertex ﻿

(Elsevier, 2016-02)
Article
Open Access
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 ...
• Green's function in partial subdivision networks ﻿

(Taylor & Francis, 2018-07-24)
Article
Restricted access - publisher's policy
In the present work, we define a partial subdivision network of a given network G, by inserting a new vertex in some selected edges of G, so that each of these edges is replaced by two new edges with conductances that ...
• Green's function of a weighted $n$-cycle ﻿

(2016)
Conference report
Open Access
• Green’s kernel for subdivision networks ﻿

(2016)
Conference report
Open Access
• Group inverse matrix of the normalized Laplacian on subdivision networks ﻿

Conference report
Open Access
• Inversa de matrices circulantes con tres parámetros ﻿

(2015)
Conference report
Open Access
Utilizando técnicas relacionadas con la resolución de problemas de contorno para ecuaciones en diferencias de segundo orden, se dan condiciones necesarias y suficientes cientes para la invertibilidad de matrices circulantes ...
• Kirchhoff indexes of a network ﻿

(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 ...
• Kirchhoff index of periodic linear chains ﻿

(2015-02)
Article
Open Access
A periodic linear chain consists of a weighted 2n -path where new edges have been added following a certain periodicity. In this paper, we obtain the effective resistance and the Kirchhoff index of a periodic linear chain ...
• Matrix tree theorem for Schrödinger operators on networks ﻿

(2017)
Conference report
Open Access
• Minimal contention-free matrices with application to multicasting ﻿

(2000)
Article
Open Access
In this paper, we show that the multicast problem in trees can be expressed in term of arranging rows and columns of boolean matrices. Given a $p \times q$ matrix $M$ with 0-1 entries, the {\em shadow} of $M$ is ...