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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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Vertex weighted Laplacian Energy of union of graphs [PDF]
Computer Science Journal of Moldova, 2018 The vertex weighted Laplacian energy with respect to the vertex weight $w$ of a graph $G$ with $n$ vertices is defined as ~$LE_w(G)=\sum\limits_{i=1}^n|\mu_i-\bar{w}|$, where ${{\mu }_{1}},{{\mu }_{2}},...,{{\mu }_{n}}$ are the Laplacian eigenvalues of ...
Nilanjan De
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Infinitely many solutions for three quasilinear Laplacian systems on weighted graphs
Boundary Value ProblemsWe investigate a generalized poly-Laplacian system with a parameter on weighted finite graphs, a generalized poly-Laplacian system with a parameter and Dirichlet boundary value on weighted locally finite graphs, and a ( p , q ) $(p,q)$ -Laplacian system ...
Yan Pang, Junping Xie, Xingyong Zhang
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Convolution operators and the discrete Laplacian [PDF]
, 2009 PhDIn this thesis, we obtain new results for convolution operators on homogeneous spaces and give applications to the Laplacian on a homogeneous graph. Some of these results have been published in joint papers [13, 14] with my supervisor.
Chen, Chung-Chuan
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Multiple solutions for a weighted p-Laplacian problem [PDF]
Electronic Journal of Differential Equations, 2022 We prove the existence of at least three solutions for a weighted $p$-Laplacian operator involving Dirichlet boundary condition in a weighted Sobolev space.
Rohit Kumar, Abhishek Sarkar
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Weighted (Co)homology and Weighted Laplacian [PDF]
, 2023 In this paper, we generalize the combinatorial Laplace operator of Horak and Jost by introducing the $\phi$-weighted coboundary operator induced by a weight function $\phi$. Our weight function $\phi$ is a generalization of Dawson's weighted boundary map.
Xia, Kelin +3 more
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, 2023 Existence and multiplicity of weak solutions for a weighted (p, q)-Laplacian problem consisting of a singular term are proved, where the weight function satisfies Muckenhoupt’s condition.
Safari, Farzaneh +2 more
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Comparison of Laplacian differential reconstruction of inline holograms recorded at two different wavelengths and distances [PDF]
, 2010 Paper presented at Biomedical Optics (BIOMED) Miami, Florida, April 11, 2010We record two holograms using two different illuminating wavelengths. Subtracting these holograms, the resulting reconstruction is an approximation to the second order Laplacian
Dayan Li +5 more
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Inertias of Laplacian matrices of weighted signed graphs
Special Matrices, 2019 We study the sets of inertias achieved by Laplacian matrices of weighted signed graphs. First we characterize signed graphs with a unique Laplacian inertia.
Monfared K. Hassani +3 more
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Kriging-Weighted Laplacian Kernels for Grayscale Image Sharpening
IEEE Access, 2022 Sharpening filters are used to highlight fine image details, including object edges. However, sharpening filters are very specific to different types of images as they may create undesired edge effects, over-highlight fine details, or emphasize noise ...
Tuan D. Pham
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