Results 11 to 20 of about 1,315,432 (182)
Exponential growth and the spectrum of the Laplacian [PDF]
Proceedings of the American Mathematical Society, 1981 Conditions are given on a noncompact manifold which allow one to conclude that 0 is in the spectrum of the Laplacian on M M
Robert Brooks
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The spectrum of the Laplacian of Kähler manifolds [PDF]
Proceedings of the American Mathematical Society, 1980 We strengthen some results on the spectrum of the Laplacian for 0- and 1-forms [ 8 ], [ 9 ] on Kähler manifolds and give some new results for the 2-forms.
Chen, Bang-Yen, Vanhecke, Lieven
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On the Fučík spectrum of the Laplacian on a torus [PDF]
Journal of Functional Analysis, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
E. Massa, B. Ruf
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The signless Laplacian matrix of hypergraphs [PDF]
Special Matrices, 2022 In this article, we define signless Laplacian matrix of a hypergraph and obtain structural properties from its eigenvalues. We generalize several known results for graphs, relating the spectrum of this matrix to structural parameters of the hypergraph ...
Cardoso Kauê, Trevisan Vilmar
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The Laplacian spectrum of weighted composite networks and the applications
AIP AdvancesThe topological properties of the networks can be described by the Laplacian spectra, but resolving the Laplacian spectra of networks poses difficulties. In this study, a novel approach for solving the Laplacian spectrum of weighted composite networks is
Jian Zhu +3 more
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The spectrum of the periodic p-Laplacian
Journal of Differential Equations, 2007 New properties of the spectrum \(\sigma\) are determined for the boundary value problems {\parindent6.5mm \begin{itemize}\item[(i)] \(-\Delta_p u= (\lambda- q(x))|u|^{p-1}\text{sgn\,}u\), \(p> 1\), \(x\in(0,\pi_p)\) with periodic boundary conditions \item[(ii)] \(u(0)= u(\pi_p)\), \(u'(0)= u'(\pi_p)\), \(q(x)\in C^1[0,\pi_p]\), \(\lambda\in \mathbb R\),
Binding, Paul A., Rynne, Bryan P.
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The Laplacian Spectrum of a Graph
SIAM Journal on Matrix Analysis and Applications, 1990 Let G be a graph. The Laplacian matrix $L(G) = D(G) - A(G)$ is the difference of the diagonal matrix of vertex degrees and the 0-1 adjacency matrix. Various aspects of the spectrum of $L(G)$ are investigated. Particular attention is given to multiplicities of integer eigenvalues and to the effect on the spectrum of various modifications of G.
Robert Grone +2 more
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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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Disjoint unions of complete graphs characterized by their Laplacian spectrum [PDF]
, 2009 International audienceA disjoint union of complete graphs is in general not determined by its Laplacian spectrum. We show in this paper that if we only consider the family of graphs without isolated vertex then a disjoint union of complete graphs is ...
Boulet, Romain
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The Laplacian spectrum of graphs [PDF]
, 2001 In this thesis we investigate the spectrum of the Laplacian matrix of a graph. Although its use dates back to Kirchhoff, most of the major results are much more recent. It is seen to reflect in a very natural way the structure of the graph, particularly those aspects related to connectedness.
Newman, Michael William
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