Results 71 to 80 of about 302,460 (378)
Laplacian Distribution and Domination [PDF]
Graphs and Combinatorics, 2017 Let $m_G(I)$ denote the number of Laplacian eigenvalues of a graph $G$ in an interval $I$, and let $ (G)$ denote its domination number. We extend the recent result $m_G[0,1) \leq (G)$, and show that isolate-free graphs also satisfy $ (G) \leq m_G[2,n]$.
Domingos M. Cardoso +2 more
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Maximum Principles for Laplacian and Fractional Laplacian with Critical Integrability
The Journal of Geometric Analysis, 2023 In this paper, we study maximum principles for Laplacian and fractional Laplacian with critical integrability. We first consider the critical cases for Laplacian with zero order term and first order term. It is well known that for the Laplacian with zero order term $-Δ+c(x)$ in $B_1$, $c(x)\in L^p(B_1)$($B_1\subset \mathbf{R}^n$), the critical case for
Congming Li, Yingshu Lü
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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
doaj +1 more source
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 We set out to obtain estimates of the Laplacian Spectrum of Riemannian manifolds with non-empty boundary. This was achieved using standard doubled manifold techniques. In simple terms, we pasted two copies of the same manifold along their common boundary
Sabatini Luca
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Near‐Zero Thermal Expansion in Coordination Polymer Cd(1,2,4‐Triazole)2(H2PO4)2
Angewandte Chemie, EarlyView.The structural dynamics and the chemical bonding origin of a volumetric near‐zero thermal expansion in a coordination polymer across 25 K to 400 K is studied using multi‐temperature X‐ray crystallography and X‐ray electron density analysis. The lattice expansion in the a and c directions is counteracted by contraction along b axis, caused by concerted ...
Sounak Sarkar, Bo Brummerstedt Iversen
wiley +2 more sources
Stochastic Laplacian growth [PDF]
Physical Review E, 2016 A point source on a plane constantly emits particles which rapidly diffuse and then stick to a growing cluster. The growth probability of a cluster is presented as a sum over all possible scenarios leading to the same final shape. The classical point for the action, defined as a minus logarithm of the growth probability, describes the most probable ...
Oleg Alekseev, Mark Mineev-Weinstein
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Nonlocal Conduction in a Metawire
Advanced Materials, Volume 37, Issue 13, April 2, 2025.A 1D metawire composed of twisted copper wires is designed and realized. This metamaterial exhibits pronounced effects of nonlocal electric conduction according to Ohm's law. The current at one location not only depends on the electric field at that location but also on other locations.
Julio Andrés Iglesias Martínez +3 more
wiley +1 more source
Computing Laplacian energy, Laplacian-energy-like invariant and Kirchhoff index of graphs
Acta Universitatis Sapientiae: Informatica, 2022 Let G be a simple connected graph of order n and size m. The matrix L(G)= D(G)− A(G) is called the Laplacian matrix of the graph G,where D(G) and A(G) are the degree diagonal matrix and the adjacency matrix, respectively.
Bhatnagar S., Merajuddin, Pirzada S.
doaj +1 more source
Multi-View Spectral Clustering with Optimal Neighborhood Laplacian Matrix
AAAI Conference on Artificial Intelligence, 2020 Multi-view spectral clustering aims to group data into different categories by optimally exploring complementary information from multiple Laplacian matrices.
Sihang Zhou +8 more
semanticscholar +1 more source
Bilevel optimization, deep learning and fractional Laplacian regularization with applications in tomography [PDF]
Inverse Problems, 2019 In this work we consider a generalized bilevel optimization framework for solving inverse problems. We introduce fractional Laplacian as a regularizer to improve the reconstruction quality, and compare it with the total variation regularization.
Harbir Antil, Z. Di, R. Khatri
semanticscholar +1 more source