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On the spectrum of the normalized Laplacian of iterated triangulations of graphs

Autor/a

Xie, Pinchen

Zhang, Zhongzhi

Comellas Padró, Francesc de Paula

Otros/as autores/as

Universitat Politècnica de Catalunya. Departament de Matemàtiques

Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions

Fecha de publicación

2016-01-15

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Resumen

The eigenvalues of the normalized Laplacian of a graph provide information on its topological and structural characteristics and also on some relevant dynamical aspects, specifically in relation to random walks. In this paper we determine the spectra of the normalized Laplacian of iterated triangulations of a generic simple connected graph. As an application, we also find closed-forms for their multiplicative degree-Kirchhoff index, Kemeny's constant and number of spanning trees.

Postprint (author's final draft)

Tipo de documento

Article

Lengua

Inglés

Materias y palabras clave

Àrees temàtiques de la UPC::Matemàtiques i estadística; Applied mathematics and mathematical computation; Complex networks; Normalized Laplacian spectrum; Graph triangulations; Degree-Kirchhoff index; Kemeny constant; Spanning trees; Matemàtica aplicada

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Derechos

http://creativecommons.org/licenses/by-nc-nd/3.0/es/

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E-prints [73032]