Now showing items 41-58 of 58

• #### MÈTODES MATEMÀTICS II (Examen 1r quadrim) ﻿

(Universitat Politècnica de Catalunya, 2008-01-15)
Exam
• #### 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 ...
• #### On middle cube graphs ﻿

(2015)
Article
Open Access
We study a family of graphs related to the $n$-cube. The middle cube graph of parameter k is the subgraph of $Q_{2k-1}$ induced by the set of vertices whose binary representation has either $k-1$ or $k$ number of ones. The ...
• #### Perturbations of discrete elliptic operators ﻿

(Elsevier, 2015)
Article
Open Access
• #### Propagació d'informació en grafs i digrafs que modelen xarxes d'interconnexió simètriques ﻿

(Universitat Politècnica de Catalunya, 1999-03-11)
Doctoral thesis
Open Access
L'objectiu d'aquesta tesi és aprofondir en l'estudi d'una certa família de dígrafs, els dígrafs de prefix-cicle, donant nous detalls sobre la seva estructura, noves maneres d'enfocar el seu estudi, i dissenyant bons esquemes ...
• #### Quadern de pràctiques amb Maple V ﻿

(Universitat Politècnica de Catalunya, 2001)
Problem statement, exercise / Lecture notes
Open Access
• #### Recovering the conductances on grids: A theoretical justification ﻿

(2016)
Article
Open Access
In this work, we present an overview of the work developed by the authors in the context of inverse problems on nite networks. This study performs an extension of the pioneer studies by E.B. Curtis and J.A. Morrow, ...
• #### Resistance distances in extended or contracted networks ﻿

(Elsevier, 2019-09-01)
Article
Open Access
In this paper we introduce new effective resistances on a given network, associated with a positive value and two weights on the vertex set and investigate under which conditions they determine a distance. We prove that ...
• #### Resistance distances on networks ﻿

(2017)
Article
Open Access
This 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 ...
• #### Resistive distances on networks ﻿

(2016)
Conference report
Open Access
• #### The effective resistance of extended or contracted networks ﻿

(2017)
Conference report
Open Access
• #### The generalized hierarchical product of graphs ﻿

(2008-01)
Article
Open Access
A generalization of both the hierarchical product and the Cartesian product of graphs is introduced and some of its properties are studied. We call it the generalized hierarchical product. In fact, the obtained graphs ...
• #### The Green function of a perturbed network ﻿

(2012)
Conference lecture
Open Access
The díscrete Green functions and their relationship whit discrete Laplace equations have deserved the interest of many researchs useing different approac. In this work we derive the Green function of a perturbed network ...
• #### The group inverse of subdivision networks ﻿

(2016-10)
Article
Open Access
In 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 ...
• #### The inverses of some circulant matrices ﻿

(2015-11-01)
Article
Open Access
We present here necessary and su cient conditions for the invertibility of circulant and symmetric matrices that depend on three parameters and moreover, we explicitly compute the inverse. The techniques we use are related ...
• #### The local spectra of line graphs ﻿

(2006-08)
Article
Open Access
The local spectrum of a graph G = (V, E), constituted by the standard eigenvalues of G and their local multiplicities, plays a similar role as the global spectrum when the graph is “seen” from a given vertex. Thus, for ...
• #### The local spectra of regular line graphs ﻿

(2006-10)
Article
Open Access
The local spectrum of a graph G = (V, E), constituted by the standard eigenvalues of G and their local multiplicities, plays a similar role as the global spectrum when the graph is “seen” from a given vertex. Thus, for ...
• #### The spectra of Manhattan street networks ﻿

(2007-10)
Article
Open Access
The multidimensional Manhattan street networks constitute a family of digraphs with many interesting properties, such as vertex symmetry (in fact they are Cayley digraphs), easy routing, Hamiltonicity, and modular ...