Results 31 to 40 of about 249,760 (328)
Mathematics, 2021 Unravelling how the human brain structure gives rise to function is a central question in neuroscience and remains partially answered. Recent studies show that the graph Laplacian of the human brain’s structural connectivity (SC) plays a dominant role in
Jichao Ma +3 more
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Spectral threshold dominance, Brouwer's conjecture and maximality of Laplacian energy [PDF]
, 2015 The Laplacian energy of a graph is the sum of the distances of the eigenvalues of the Laplacian matrix of the graph to the graph's average degree. The maximum Laplacian energy over all graphs on $n$ nodes and $m$ edges is conjectured to be attained for ...
Helmberg, Christoph, Trevisan, Vilmar
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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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The Laplacian coflow on almost-abelian Lie groups [PDF]
, 2018 We find explicit solutions of the Laplacian coflow of $G_2-$structures on seven-dimensional almost-abelian Lie groups. Moreover, we construct new examples of solitons for the Laplacian coflow which are not eigenforms of the Laplacian and we exhibit a ...
Bagaglini, Leonardo, Fino, Anna
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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
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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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Laplacian Pattern Formation [PDF]
Europhysics News, 1988 The formation of snowflakes, viscous fingers and electrodeposits is governed by analogous equations : these structures are all Laplacian patterns. In this paper we review model experiments and computer simulations which are widely used to study diverse morphologies resulting from the motion of unstable interfaces.
Vicsek, Tamás, Kertész, János
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An eigenvalue optimization problem for Dirichlet-Laplacian with a drift [PDF]
مدلسازی پیشرفته ریاضیIn 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
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Fractional Laplacian pyramids [PDF]
2009 16th IEEE International Conference on Image Processing (ICIP), 2009 We provide an extension of the L 2 -spline pyramid (Unser et al., 1993) using polyharmonic splines. We analytically prove that the corresponding error pyramid behaves exactly as a multi-scale Laplace operator. We use the multiresolution properties of polyharmonic splines to derive an efficient, non-separable filterbank implementation.
Delgado-Gonzalo, Ricard +2 more
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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)
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