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dc.contributor.authorBendito Pérez, Enrique
dc.contributor.authorCarmona Mejías, Ángeles
dc.contributor.authorEncinas Bachiller, Andrés Marcos
dc.contributor.authorGesto Beiroa, José Manuel
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.description.abstractWe 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.
dc.format.extent11 p.
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject.lcshEquilibrium Mathematics
dc.subject.otherKirchhoff index
dc.subject.othereffective resistance
dc.subject.otherequilibrium measure
dc.titleA formula for the Kirchhoff index
dc.subject.lemacEquilibri -- Matemàtica
dc.contributor.groupUniversitat Politècnica de Catalunya. VARIDIS - Varietats Riemannianes Discretes i Teoria del Potencial
dc.subject.amsClassificació AMS::92 Biology and other natural sciences::92E Chemistry
dc.rights.accessOpen Access

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