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On the Essential Spectrum of Quantum Graphs

Integral Equations and Operator Theory, 2017
This paper studies the spectral theory of Schrödinger operators which are defined on a metric graph, embedded in \(\mathbb{R}^n\), which has a periodic structure in the sense that it is invariant under translations defined by of a subgroup of \(\mathbb{R}^n\) isomorphic to \(\mathbb{Z}^m\) (i.e. a lattice).
openaire   +2 more sources

Temporal-Spatio Graph Based Spectrum Analysis for Bearing Fault Detection and Diagnosis

IEEE Transactions on Industrial Electronics, 2021
Teng Wang, Zheng Liu, Guoliang Lu
exaly  

Spectrum and connectivity of graphs

CWI Quarterly, 1996
The author gives three examples of results concerning the connectedness, the connectivity and the thoughness of graphs which follow by considering their spectrum. Using interlacing [see, e.g., \textit{W. H. Haemers}, Eigenvalue techniques in design and graph theory (1980; Zbl 0429.05013)] short proofs of theorems by \textit{A. E. Brouwer} and \textit{D.
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Distributed Nonlinear Polynomial Graph Filter and Its Output Graph Spectrum: Filter Analysis and Design

IEEE Transactions on Signal Processing, 2021
Zhenlong Xiao, He Fang, Xianbin Wang
exaly  

Dynamic multi-site graph convolutional network for autism spectrum disorder identification

Computers in Biology and Medicine, 2023
Wei-Gang Cui, Junling Du, Mingyi Sun
exaly  

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