Results 81 to 90 of about 67,630 (266)
Eigenvalue monotonicity of $q$-Laplacians of trees along a poset
, 2018 Let $T$ be a tree on $n$ vertices with $q$-Laplacian $L_{T}^{q}$. Let $GTS_n$ be the generalized tree shift poset on the set of unlabelled trees with $n$ vertices.
Nagar, Mukesh Kumar
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Distributed Optimization of Finite Condition Number for Laplacian Matrix in Multi‐Agent Systems
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper addresses the distributed optimization of the finite condition number of the Laplacian matrix in multi‐agent systems. The finite condition number, defined as the ratio of the largest to the second smallest eigenvalue of the Laplacian matrix, plays an important role in determining the convergence rate and performance of consensus ...
Yicheng Xu, Faryar Jabbari
wiley +1 more source
Computing the Laplacian spectrum and Wiener index of pentagonal-derivation cylinder/Möbius network
HeliyonThe Laplacian spectrum significantly contributes the study of the structural features of non-regular networks. Actually, it emphasizes the interaction among the network eigenvalues and their structural properties.
Umar Ali +3 more
doaj +1 more source
Heat Equation on the Cone and the Spectrum of the Spherical Laplacian [PDF]
, 2013 Spectrum of the Laplacian on spherical domains is analyzed from the point of view of the heat equation on the cone. The series solution to the heat equation on the cone is known to lead to a study of the Laplacian eigenvalue problem on domains on the ...
Balakrishna, B S
core
Generic properties of eigenvalues of the fractional Laplacian [PDF]
, 2023 Mouhamed Moustapha Fall +3 more
openalex +1 more source
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In privacy protection of control systems, a trade‐off between control performance and privacy level is often pointed out. Our goal in this paper is to improve this trade‐off by shaping the frequency of noise added for privacy protection when the control objective is to track a reference signal, which is taken as a piece of information whose ...
Rintaro Watanabe +3 more
wiley +1 more source
Laplacian Eigenvalues and multisections
Electronic Notes in Discrete Mathematics, 2000 Abstract We will describe how simple computations on the eigenvalues of the laplacian matrix of a graph and a certain Gram matrix provide bounds on the number of edges joining parts in a graph where the vertex set is separated in parts of given sizes. These bounds are compared to existing ones.
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Eigenvalues for a nonlocal pseudo $p-$Laplacian
Discrete and Continuous Dynamical Systems, 2016 In this paper we study the eigenvalue problems for a nonlocal operator of order $s$ that is analogous to the local pseudo $p-$Laplacian. We show that there is a sequence of eigenvalues $ _n \to \infty$ and that the first one is positive, simple, isolated and has a positive and bounded associated eigenfunction.
del Pezzo, Leandro Martin +1 more
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A linear algorithm for obtaining the Laplacian eigenvalues of a cograph
Special MatricesIn this article, we give an O(n)O\left(n) time and space algorithm for obtaining the Laplacian eigenvalues of a cograph. This approach is more efficient as there is no need to directly compute the eigenvalues of Laplacian matrix related to this class of ...
Chen Guantao, Tura Fernando C.
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Isoperimetric inequalities for some nonlinear eigenvalue problems
Electronic Journal of Qualitative Theory of Differential Equations, 2004 In this paper we intend to review many of the known inequalities for eigenvalues of the Laplacian in Euclidean plane. Our aim is to show that we can generalize some results for the pseudo-Laplacian.
Gabriella Bognár
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