Results 1 to 10 of about 230,605 (276)
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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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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Spectral graph theory of brain oscillations. [PDF]
Hum Brain Mapp, 2020 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.
Raj A +6 more
europepmc +6 more sources
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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Discovering genetic ancestry using spectral graph theory. [PDF]
Genet 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
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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On the spectral radius of VDB graph matrices
Vojnotehnički Glasnik, 2023 Introduction/purpose: Vertex-degree-based (VDB) graph matrices form a special class of matrices, corresponding to the currently much investigated vertex-degree-based (VDB) graph invariants. Some spectral properties of these matrices are investigated.
Ivan Gutman
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Spectral Sufficient Conditions on Pancyclic Graphs
Complexity, 2021 A pancyclic graph of order n is a graph with cycles of all possible lengths from 3 to n. In fact, it is NP-complete that deciding whether a graph is pancyclic.
Guidong Yu +3 more
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Geary’s c and Spectral Graph Theory: A Complement
Mathematics, 2023 Spatial autocorrelation, which describes the similarity between signals on adjacent vertices, is central to spatial science, and Geary’s c is one of the most-prominent numerical measures of it.
Hiroshi Yamada
doaj +1 more source