The normalized Laplacian spectrum of subdivisions of a graph
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Cita com:
hdl:2117/104267
Tipus de documentArticle
Data publicació2016-08-05
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
Determining and analyzing the spectra of graphs is an important and exciting research topic in mathematics science and theoretical computer science. The eigenvalues of the normalized Laplacian of a graph provide information on its structural properties and also on some relevant dynamical aspects, in particular those related to random walks. In this paper, we give the spectra of the normalized Laplacian of iterated subdivisions of simple connected graphs. As an example of application of these results we find the exact values of their multiplicative degree-Kirchhoff index, Kemeny's constant and number of spanning trees.
CitacióXie, P., Zhang, Z., Comellas, F. The normalized Laplacian spectrum of subdivisions of a graph. "Applied mathematics and computation", 5 Agost 2016, vol. 286, p. 250-256.
ISSN0096-3003
Versió de l'editorhttp://www.sciencedirect.com/science/article/pii/S0096300316302831
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AMC-subdivision-fin.pdf | 339,9Kb | Visualitza/Obre |