To access the full text documents, please follow this link: http://hdl.handle.net/2117/100002

Title:	Effective resistances and Kirchhoff index in subdivision networks
Author:	Carmona Mejías, Ángeles; Mitjana Riera, Margarida; Monsó Burgués, Enrique P.J.
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. COMPTHE - Combinatòria i Teoria Discreta del Potencial pel control de paràmetres en xarxes
Abstract:	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 this work, we firstly obtain an expression for the Green kernel of the subdivision network in terms of the Green kernel of the base network. Moreover, we also obtain the effective resistance and the Kirchhoff index of the subdivision network in terms of the corresponding parameters on the base network. Finally, as an example, we carry out the computations in the case of a wheel.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Graph theory -Resistance distance -Green kernel -Kirchhoff Index -Subdivision network -Grafs, Teoria de -Classificació AMS::31 Potential theory::31C Other generalizations -Classificació AMS::15 Linear and multilinear algebra; matrix theory -Classificació AMS::34 Ordinary differential equations::34B Boundary value problems
Rights:	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
Published by:	Taylor & Francis
Share:

Show full item record