Results 31 to 40 of about 57,585 (308)
Acta Scientiarum: Technology, 2023 Spectral Graph theory has been utilized frequently in the field of Computer Vision and Pattern Recognition to address challenges in the field of Image Segmentation and Image Classification.
Subramaniam Usha +3 more
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Hermitian Laplacian Matrix of Directed Graphs [PDF]
Jisuanji kexue, 2023 Laplacian matrix plays an important role in the research of undirected graphs.From its spectrum,some structure and properties of a graph can be deduced.Based on this,several efficient algorithms have been designed for relevant tasks in graphs,such as ...
LIU Kaiwen, HUANG Zengfeng
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Communications in Partial Differential Equations, 2014 We compare two natural types of fractional Laplacians $(-Δ)^s$, "Navier" and "Dirichlet" ones.
MUSINA, Roberta, Nazarov A. I.
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On Sum of Powers of the Laplacian and Signless Laplacian Eigenvalues of Graphs [PDF]
The Electronic Journal of Combinatorics, 2010 Let $G$ be a graph of order $n$ with signless Laplacian eigenvalues $q_1, \ldots,q_n$ and Laplacian eigenvalues $\mu_1,\ldots,\mu_n$. It is proved that for any real number $\alpha$ with $0 < \alpha\leq1$ or $2\leq\alpha < 3$, the inequality $q_1^\alpha+\cdots+ q_n^\alpha\geq \mu_1^\alpha+\cdots+\mu_n^\alpha$ holds, and for any real number ...
Saieed Akbari +3 more
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Data for "Laplacian-level meta-GGA for the weakly-nonlocal solid and liquid metals" [PDF]
, 2022 This dataset contains all VASP inputs and outputs for the paper "Improved Laplacian-level meta-GGA for the weakly-nonlocal solid and liquid metals." For the preprint, see arXiv:2203.09403, and for the reference densities, fitting routines, and analysis ...
Kaplan, Aaron D., Perdew, John P.
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Journal of Nonlinear Mathematical Physics, 2005 We consider some lattices and look at discrete Laplacians on these lattices. In particular we look at solutions of the equation $\triangle(1)ϕ= \triangle(2)Z$ where $\triangle(1)$ and $\triangle(2)$ are two such laplacians on the same lattice. We discuss solutions of this equation in some special cases.
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Applied Sciences, 2019 While progress has been made in design optimization of concentric ring electrodes maximizing the accuracy of the surface Laplacian estimation, it was based exclusively on the negligible dimensions model of the electrode.
Oleksandr Makeyev +5 more
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On singularity and properties of eigenvectors of complex Laplacian matrix of multidigraphs
AKCE International Journal of Graphs and Combinatorics, 2023 In this article, we associate a Hermitian matrix to a multidigraph G. We call it the complex Laplacian matrix of G and denote it by [Formula: see text]. It is shown that the complex Laplacian matrix is a generalization of the Laplacian matrix of a graph.
Sasmita Barik +2 more
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Abstract and Applied Analysis, 2003 We prove, for Orlicz spaces LA(ℝN) such that A satisfies the Δ2 condition, the nonresolvability of the A‐Laplacian equation ΔAu + h = 0 on ℝN, where ∫h ≠ 0, if ℝN is A‐parabolic. For a large class of Orlicz spaces including Lebesgue spaces Lp (p > 1), we also prove that the same equation, with any bounded measurable function h with compact support ...
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Nonnegative solutions of nonlinear fractional Laplacian equations [PDF]
, 2020 The study of reaction-diffusion equations involving nonlocal diffusion operators has recently flourished. The fractional Laplacian is an example of a nonlocal diffusion operator which allows long-range interactions in space, and it is therefore important
Hollifield, Elliott Z. +1 more
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