Results 1 to 10 of about 231,988 (213)

Identifying network structure similarity using spectral graph theory [PDF]

open access: goldApplied 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
doaj   +7 more sources

Spectral graph theory of brain oscillations—-Revisited and improved [PDF]

open access: yesNeuroImage, 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
doaj   +7 more sources

Controllability and heterogeneity of river networks using spectral graph theory approach [PDF]

open access: goldScientific Reports
River 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
doaj   +3 more sources

Geary’s c and Spectral Graph Theory [PDF]

open access: yesMathematics, 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
doaj   +2 more sources

Spectral Theory of Infinite Quantum Graphs [PDF]

open access: yesAnnales Henri Poincaré, 2018
We investigate quantum graphs with infinitely many vertices and edges without the common restriction on the geometry of the underlying metric graph that there is a positive lower bound on the lengths of its edges. Our central result is a close connection
Exner, Pavel   +3 more
core   +8 more sources

Shapes of Uncertainty in Spectral Graph Theory [PDF]

open access: greenIEEE Transactions on Information Theory, 2020
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
openalex   +4 more sources

Spectral Theory of Isogeny Graphs [PDF]

open access: green, 2023
Exposition improved.
Giulio Codogni, Guido Lido
openalex   +3 more sources

Spectral graph theory of brain oscillations [PDF]

open access: goldHuman Brain Mapping, 2019
AbstractThe 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.
Ashish Raj   +6 more
openalex   +6 more sources

Spectral theory of quantum graphs

open access: green, 2012
Diese Arbeit beinhaltet Untersuchungen von Spektralproblemen für Quantengraphen mit Potential. Einerseits analysieren wir die quantitative Abhängigkeit der Eigenwerte des Schrödingeroperators vom Potential. Andererseits verallgemeinern wir gewisse elementare Identitäten von der eindimensionalen Streutheorie auf Quantengraphen.
Semra Demirel
openalex   +4 more sources

Discovering genetic ancestry using spectral graph theory. [PDF]

open access: yesGenet Epidemiol, 2010
AbstractAs one approach to uncovering the genetic underpinnings of complex disease, individuals are measured at a large number of genetic variants (usually SNPs) across the genome and these SNP genotypes are assessed for association with disease status.
Lee AB   +4 more
europepmc   +4 more sources

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