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The Laplacian spectrum of neural networks [PDF]
Frontiers in Computational Neuroscience, 2014 The brain is a complex network of neural interactions, both at the microscopic and macroscopic level. Graph theory is well suited to examine the global network architecture of these neural networks.
Siemon ede Lange +2 more
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Some results on the Laplacian spectrum
Computers and Mathematics With Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Muhuo Liu, Bolian Liu
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On some forests determined by their Laplacian or signless Laplacian spectrum
Computers and Mathematics With Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zoran Stanić, Slobodan K SIMIĆ
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On the essential spectrum of the Laplacian and the drifted Laplacian
Journal of Functional Analysis, 2014 This paper concerns the $L^2$ essential spectrum of the Laplacian $Δ$ and the drift Laplacian $Δ_f$ on complete Riemannian manifolds endowed with a weighted measure $e^{-f}d\;vol_g$. We prove that the essential spectrum of the drift Laplacian $Δ_f$ is $[0,+\infty) $ provided the Bakry-Émery curvature tensor $Ric_f$ is nonnegative and $f$ has sublinear ...
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The Laplacian spectrum of a graph
Computers and Mathematics With Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Spectrum of Laplacian Matrix [PDF]
Mathematical Problems in Engineering, 2021 Let G be a simple graph of order n . The matrix ℒ
Akbar Jahanbani +2 more
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Spektrum Laplace pada graf kincir angin berarah (Q_k^3)
Majalah Ilmiah Matematika dan Statistika, 2022 Suppose that 0 = µ0 ≤ µ1 ≤ ... ≤ µn-1 are eigen values of a Laplacian matrix graph with n vertices and m(µ0), m(µ1), …, m(µn-1) are the multiplicity of each µ, so the Laplacian spectrum of a graph can be expressed as a matrix 2 × n whose line elements ...
Melly Amaliyanah +2 more
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Signless normalized Laplacian for hypergraphs
Electronic Journal of Graph Theory and Applications, 2022 The spectral theory of the normalized Laplacian for chemical hypergraphs is further investigated. The signless normalized Laplacian is introduced and it is shown that its spectrum for classical hypergraphs coincides with the spectrum of the normalized ...
Eleonora Andreotti, Raffaella Mulas
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Cospectral constructions for several graph matrices using cousin vertices
Special Matrices, 2021 Graphs can be associated with a matrix according to some rule and we can find the spectrum of a graph with respect to that matrix. Two graphs are cospectral if they have the same spectrum.
Lorenzen Kate
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On distance Laplacian spectrum of zero divisor graphs of the ring $\mathbb{Z}_{n}$
Karpatsʹkì Matematičnì Publìkacìï, 2021 For a finite commutative ring $\mathbb{Z}_{n}$ with identity $1\neq 0$, the zero divisor graph $\Gamma(\mathbb{Z}_{n})$ is a simple connected graph having vertex set as the set of non-zero zero divisors, where two vertices $x$ and $y$ are adjacent if and
S. Pirzada, B.A. Rather, T.A. Chishti
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