Results 11 to 20 of about 230,605 (276)
Spectral Theory of Infinite Quantum Graphs [PDF]
Annales Henri Poincaré, 2018 Dedicated to the memory of M. Z. Solomyak (16.05.1931 - 31.07.2016)
Pavel Exner +3 more
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Wavelets on graphs via spectral graph theory
Applied and Computational Harmonic Analysis, 2011 We propose a novel method for constructing wavelet transforms of functions defined on the vertices of an arbitrary finite weighted graph. Our approach is based on defining scaling using the the graph analogue of the Fourier domain, namely the spectral decomposition of the discrete graph Laplacian $Ł$.
Hammond, David K. +2 more
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Spectrum and energy of the Sombor matrix [PDF]
Vojnotehnički Glasnik, 2021 Introduction/purpose: The Sombor matrix is a vertex-degree-based matrix associated with the Sombor index. The paper is concerned with the spectral properties of the Sombor matrix. Results: Equalities and inequalities for the eigenvalues of the Sombor
Ivan Gutman
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Spectral recognition of graphs [PDF]
Yugoslav Journal of Operations Research, 2012 At some time, in the childhood of spectral graph theory, it was conjectured that non-isomorphic graphs have different spectra, i.e. that graphs are characterized by their spectra.
Cvetković Dragoš
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A theory of spectral partitions of metric graphs [PDF]
, 2020 We introduce an abstract framework for the study of clustering in metric graphs: after suitably metrising the space of graph partitions, we restrict Laplacians to the clusters thus arising and use their spectral gaps to define several notions of ...
Kennedy, James B. +3 more
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A Short Text Clustering Algorithm Based on Spectral Cut [PDF]
Jisuanji gongcheng, 2016 Short text has the characteristics of sparsity and high dimension,and the existing clustering algorithm for the large-scale short text has low accuracy and efficiency.Aiming at this problem,a novel clustering method based on spectral clustering theory ...
LI Xiaohong,XIE Meng,MA Huifang,HE Tingnian
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From Time–Frequency to Vertex–Frequency and Back
Mathematics, 2021 The paper presents an analysis and overview of vertex–frequency analysis, an emerging area in graph signal processing. A strong formal link of this area to classical time–frequency analysis is provided.
Ljubiša Stanković +5 more
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Eigenvalues of multipart matrices and their applications
The American Journal of Combinatorics, 2023 A square matrix is called a multipart matrix if all its diagonal entries are zero and all other entries in each column are constant. In this paper, we describe various interesting spectral properties of multipart matrices. We provide suitable bounds for
Ranjit Mehatari
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The Grone-Merris Conjecture [PDF]
, 2010 In spectral graph theory, Grone and Merris conjecture that the spectrum of the Laplacian matrix of a finite graph is majorized by the conjugate degree sequence of this graph.
Bai, Hua
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Frontiers in Neuroscience, 2022 We review recent advances in using mathematical models of the relationship between the brain structure and function that capture features of brain dynamics. We argue the need for models that can jointly capture temporal, spatial, and spectral features of
Ashish Raj +2 more
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