Spectral analysis for weighted iterated quadrilateral graphs
2018 ◽
Vol 29
(11)
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pp. 1850113
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Keyword(s):
Much information about the structural properties and dynamical aspects of a network is measured by the eigenvalues of its normalized Laplacian matrix. In this paper, we aim to present a first study on the spectra of the normalized Laplacian matrix of weighted iterated quadrilateral graphs. We analytically obtain all the eigenvalues, as well as their multiplicities from two successive generations. As an example of application of these results, we then derive closed-form expressions for the multiplicative degree Kirchhoff index and the Kemeny’s constant, as well as the number of weighted spanning trees.
Keyword(s):
2020 ◽
Vol 31
(03)
◽
pp. 2050042
Keyword(s):
2019 ◽
Vol 33
(17)
◽
pp. 1950184
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Keyword(s):
2015 ◽
Vol 91
(3)
◽
pp. 353-367
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2019 ◽
Vol 355
◽
pp. 33-46
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