A formula for the Kirchhoff index

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/1247

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.contributor	Universitat Politècnica de Catalunya. VARIDIS - Varietats Riemannianes Discretes i Teoria del Potencial
dc.contributor.author	Bendito Pérez, Enrique
dc.contributor.author	Carmona Mejías, Ángeles
dc.contributor.author	Encinas Bachiller, Andrés Marcos
dc.contributor.author	Gesto Beiroa, José Manuel
dc.date	2007-09-30
dc.identifier.uri	http://hdl.handle.net/2117/1247
dc.language.iso	eng
dc.relation	MTM2007-625551
dc.rights	Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject	Equilibrium Mathematics
dc.subject	Kirchhoff index
dc.subject	effective resistance
dc.subject	equilibrium measure
dc.subject	Equilibri -- Matemàtica
dc.subject	Classificació AMS::92 Biology and other natural sciences::92E Chemistry
dc.title	A formula for the Kirchhoff index
dc.type	info:eu-repo/semantics/article
dc.description.abstract	We show here that the Kirchhoff index of a network is the average of the Wiener capacities of its vertices. Moreover, we obtain a closed-form formula for the effective resistance between any pair of vertices when the considered network has some symmetries which allows us to give the corresponding formulas for the Kirchhoff index. In addition, we find the expression for the Foster's n-th Formula.

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