Results 1 to 10 of about 17,262 (251)
Spectral graph theory of brain oscillations—-Revisited and improved [PDF]
NeuroImage, 2022 Mathematical modeling of the relationship between the functional activity and the structural wiring of the brain has largely been undertaken using non-linear and biophysically detailed mathematical models with regionally varying parameters.
Parul Verma +2 more
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Spectral graph theory of brain oscillations. [PDF]
Hum Brain Mapp, 2020 Abstract The relationship between the brain’s structural wiring and the functional patterns of neural activity is of fundamental interest in computational neuroscience. We examine a hierarchical, linear graph spectral model of brain activity at mesoscopic and macroscopic scales.
Raj A +6 more
europepmc +7 more sources
Shapes of Uncertainty in Spectral Graph Theory [PDF]
IEEE Transactions on Information Theory, 2021 We present a flexible framework for uncertainty principles in spectral graph theory. In this framework, general filter functions modeling the spatial and spectral localization of a graph signal can be incorporated. It merges several existing uncertainty relations on graphs, among others the Landau-Pollak principle describing the joint admissibility ...
Wolfgang Erb
exaly +3 more sources
Identifying network structure similarity using spectral graph theory [PDF]
Applied Network Science, 2018 Most real networks are too large or they are not available for real time analysis. Therefore, in practice, decisions are made based on partial information about the ground truth network. It is of great interest to have metrics to determine if an inferred
Ralucca Gera +6 more
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Geary’s c and Spectral Graph Theory [PDF]
Mathematics, 2021 Spatial autocorrelation, of which Geary’s c has traditionally been a popular measure, is fundamental to spatial science. This paper provides a new perspective on Geary’s c.
Hiroshi Yamada
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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 $Ł$.
Pierre Vandergheynst, Rémi Gribonval
exaly +6 more sources
A Few Examples and Counterexamples in Spectral Graph Theory
Discussiones Mathematicae Graph Theory, 2020 We present a small collection of examples and counterexamples for selected problems, mostly in spectral graph theory, that have occupied our minds over a number of years without being completely resolved.
Stevanović Dragan +2 more
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Controllability and heterogeneity of river networks using spectral graph theory approach [PDF]
Scientific ReportsRiver networks are important landscape features that have been extensively studied over many years. While seminal works have focused on characterizing the topological properties of river networks, the quantification of their spectral properties has ...
Shiblu Sarker +4 more
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Three conjectures in extremal spectral graph theory
Journal of Combinatorial Theory Series B, 2017 We prove three conjectures regarding the maximization of spectral invariants over certain families of graphs. Our most difficult result is that the join of $P_2$ and $P_{n-2}$ is the unique graph of maximum spectral radius over all planar graphs. This was conjectured by Boots and Royle in 1991 and independently by Cao and Vince in 1993.
Michael Tait
exaly +4 more sources
Spectral graph theory efficiently characterizes ventilation heterogeneity in lung airway networks [PDF]
J R Soc Interface, 2020 Whitfield C +5 more
europepmc +1 more source