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Laplacian Controllability for Graphs with Integral Laplacian Spectrum

Mediterranean Journal of Mathematics, 2021
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The Spectrum and Laplacian Spectrum of the Dice Lattice

Journal of Statistical Physics, 2016
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Li, Shuli, Yan, Weigen, Tian, Tao
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Resistance distance and Laplacian spectrum

Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta), 2003
The resistance distance r ij between two vertices v i and v j of a (connected, molecular) graph G is equal to the resistance between the respective two points of an electrical ...
Xiao, WJ, Gutman, I
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SPECTRUM OF THE LAPLACIAN OF COMPACT MANIFOLDS

Acta Mathematica Scientia, 1996
The authors prove the following two results: 1. Let \(M\) be a compact, orientable embedded hypersurface of a compact orientable Riemannian manifold \(N\). Suppose that the Ricci curvature of \(N\) is bounded below by a positive number \(k\). Then \(\lambda_1>k/2\), where \(\lambda_1\) is the first Neumann eigenvalue of the Laplacian of \(M\). 2. Let \(
Xu, Senlin   +3 more
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The Laplacian Spectrum of a Graph II

SIAM Journal on Discrete Mathematics, 1994
Summary: [For Part I see \textit{R. Grone}, \textit{R. Merris} and \textit{V. S. Sunder}, SIAM J. Matrix Anal. Appl. 11, No. 2, 218-238 (1990; Zbl 0733.05060).] Let \(G\) be a graph. Denote by \(D(G)\) the diagonal matrix of its vertex degrees and by \(A(G)\) its adjacency matrix. Then \(L(G) = D(G) -A(G)\) is the Laplacian matrix of \(G\).
Grone, Robert, Merris, Russell
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