Kirchhoff index of a non-complete wheel

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2016 Spain English Publisher:Elsevier BVJournal:Electronic Notes in Discrete Mathematics, volume 54, pages 229-234 (issn: 1571-0653,

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Authors: Gago Álvarez, Silvia;

doi: 10.1016/j.endm.2016.09.040

handle: 2117/100669

Kirchhoff index of a non-complete wheel

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Abstract

In this work, we compute analitycally the Kirchhoff index and effective resistances of a weighted non–complete wheel that has been obtained by adding a vertex to a weighted cycle and some edges conveniently chosen. To this purpose we use the group inverse of the combinatorial Laplacian

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Spain

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Keywords

Graph theory, Grafs, Àrees temàtiques de la UPC::Matemàtiques i estadística, Teoria de, Grafs, Teoria de, Group inverse, Kirchhoff index, Laplacian matrix, Non–complete wheels

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