Results 1 to 10 of about 246,310 (302)

A class of digraphs which have completely real Laplacian spectra(一类具有全实Laplacian谱的有向图)

Zhejiang Daxue xuebao. Lixue ban, 2011
分别研究了一类带有Hamiltonian路和带有Hamiltonian圈的有向图的基本有圈性(essential cyclicity)，给出了这种有向图的Laplacian谱，表明这些图具有全实的Laplacian谱.
SULi(苏莉), LIHong-hai(李红海)
doaj   +1 more source

An eigenvalue optimization problem for Dirichlet-Laplacian with a drift [PDF]

مدل‌سازی پیشرفته ریاضی
In this paper, we prove a monotonicity result related to the principal eigenvalue for Dirichlet-Laplacian with a drift operator in a punctured ball.
محسن زیوری رضاپور
doaj   +1 more source

Overdetermined boundary value problems for the $\infty$-Laplacian

, 2009
We consider overdetermined boundary value problems for the $\infty$-Laplacian in a domain $\Omega$ of $\R^n$ and discuss what kind of implications on the geometry of $\Omega$ the existence of a solution may have.
Buttazzo, G., Kawohl, B.
core   +2 more sources

On graphs with distance Laplacian eigenvalues of multiplicity n−4

AKCE International Journal of Graphs and Combinatorics, 2023
Let G be a connected simple graph with n vertices. The distance Laplacian matrix [Formula: see text] is defined as [Formula: see text], where [Formula: see text] is the diagonal matrix of vertex transmissions and [Formula: see text] is the distance ...
Saleem Khan, S. Pirzada, A. Somasundaram
doaj   +1 more source

An integrated exploration of heat kernel invariant feature and manifolding technique for 3D object recognition system

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, Murugesan Karthik , Marappan Jothibasu, Vijayaragavan Gowtham   +3 more
doaj   +1 more source

Validating the Comparison Framework for the Finite Dimensions Model of Concentric Ring Electrodes Using Human Electrocardiogram Data

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, Mark Musngi, Larry Moore, Yiyao Ye-Lin, Gema Prats-Boluda, Javier Garcia-Casado   +5 more
doaj   +1 more source

Laplacian Manifold Learning Based Vibro-Acoustic Feature Fusion for Rail Corrugation Condition Characterization

Applied Sciences
Accurate characterization of rail corrugation is essential for the operation and maintenance of urban rail transit. To enhance the representation capability for rail corrugation, this study proposes a sound–vibration feature fusion method based on ...
Yun Liao, Guifa Huang, Dawei Zhang, Xiaoqiong Zhan, Min Li   +4 more
doaj   +1 more source

On the $ A_{\alpha^-} $-spectra of graphs and the relation between $ A_{\alpha} $- and $ A_{\alpha^-} $-spectra

AIMS Mathematics
Let $ G $ be a graph with adjacency matrix $ A(G) $, and let $ D(G) $ be the diagonal matrix of the degrees of $ G $. For any real number $ \alpha\in [0, 1] $, Nikiforov defined the $ A_{\alpha} $-matrix of $ G $ as $ A_{\alpha}(G) = \alpha D (G) +
Wafaa Fakieh, Zakeiah Alkhamisi, Hanaa Alashwali   +2 more
doaj   +1 more source

Re-patterning of cylindrical packing of diblock copolymers under confinement and curvature effects by using approximations of PDE’s involved in the CDS model on polar mesh system

Journal of Physics Communications
Soft materials, including diblock copolymers, are advancing nanotechnology due to their unique properties, applications materials include energy harvesting, water sanitation, environmental treatment, nanosensors, drug delivery and nanolithography.
Muhammad Javed Iqbal, Inayatullah Soomro, Mumtaz Hussain Mahar   +2 more
doaj   +1 more source

A nodal domain theorem and a higher-order Cheeger inequality for the graph $p$-Laplacian [PDF]

, 2016
We consider the nonlinear graph $p$-Laplacian and its set of eigenvalues and associated eigenfunctions of this operator defined by a variational principle. We prove a nodal domain theorem for the graph $p$-Laplacian for any $p\geq 1$. While for $p>1$ the
Hein, Matthias, Tudisco, Francesco
core   +1 more source