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

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Title:	On the spectrum of the normalized Laplacian of iterated triangulations of graphs
Author:	Xie, Pinchen; Zhang, Zhongzhi; Comellas Padró, Francesc de Paula
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions
Abstract:	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.
Subject(s):	-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
Rights:	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
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