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The Laplacian Spectrum of a Graph

open access: yesComputers and Mathematics With Applications, 2004
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The Spectrum of the Laplacian on the Pentagasket

2003
The spectrum of the fully symmetric Laplacian on the fractal pentagasket is studied by theoretical and experimental methods. We show how to construct derived eigenspaces of high multiplicity for both Dirichlet and Neumann spectrum starting from primitive Neumann eigenspaces.
Bryant Adams   +3 more
openaire   +1 more source

The spectrum of the Laplacian on fractals

2021
In this work, we review some of the major results concerning dimension and spectral theory on self-affine and self-similar fractal sets. After a focused exposition on the underlying iterated function systems, measure theoretic results are used to determine the Hausdorff dimension of arbitrary self-similar sets.
openaire   +1 more source

On the Fu?�k Spectrum of the p-Laplacian

Nonlinear Differential Equations and Applications, 2004
Let \(\Omega\) be a bounded domain in \({\mathbb R}^n\), \(n\geq1\).
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On the Signless Laplacian and Normalized Laplacian Spectrum of the Zero Divisor Graphs

Ricerche Di Matematica, 2022
Mojgan Afkhami   +2 more
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SPECTRUM OF POLY-LAPLACIAN AND FRACTIONAL LAPLACIAN

Differential Geometry of Submanifolds and its Related Topics, 2013
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On the Spectra of Nonsymmetric Laplacian Matrices

Linear Algebra and Its Applications, 2005
Pavel Chebotarev, Rafig Agaev
exaly  

Applications of Laplacian Spectra for n-Prism Networks

Neurocomputing, 2016
Ahmed Elaiw   +2 more
exaly  

The Laplacian and Signless Laplacian Spectrum of Semi-Cayley Graphs Over Abelian Groups

Journal of Applied Mathematics and Computing, 2016
Xing Gao, Huazhong Lu
exaly  

On the Conjecture for Certain Laplacian Integral Spectrum of Graphs

Journal of Graph Theory, 2010
Sang-Gu Lee   +2 more
exaly  

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