Results 1 to 10 of about 232,364 (309)

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, Srikantan Nagarajan, Ashish Raj   +2 more
doaj   +9 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, L. Alonso, Brian Crawford, Jeffrey House, J. A. Mendez-Bermudez, Thomas Knuth, Ryan Miller   +6 more
doaj   +4 more sources

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

Scientific 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, Arvind Singh, Alexander Veremyev, Vladimir Boginski, Scott Peckham   +4 more
doaj   +3 more sources

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, Cai C, Xie X, Palacios E, Owen J, Mukherjee P, Nagarajan S.   +6 more
europepmc   +7 more sources

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
doaj   +2 more sources

A Spectral Graph Uncertainty Principle [PDF]

IEEE Transactions on Information Theory, 2013
The spectral theory of graphs provides a bridge between classical signal processing and the nascent field of graph signal processing. In this paper, a spectral graph analogy to Heisenberg's celebrated uncertainty principle is developed.
Ameya Agaskar, Senior Member, Student Member, Yue M. Lu   +3 more
core   +3 more sources

SPectral graph theory And Random walK (SPARK) toolbox for static and dynamic characterization of (di)graphs: A tutorial. [PDF]

PLoS One
Ranieri A, Pichiorri F, Colamarino E, Cincotti F, Mattia D, Toppi J.   +5 more
europepmc   +2 more sources

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
doaj   +1 more source

Spectral graph theory efficiently characterizes ventilation heterogeneity in lung airway networks [PDF]

J R Soc Interface, 2020
Whitfield C, Latimer P, Horsley A, Wild J, Collier G, Jensen O.   +5 more
europepmc   +1 more source

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, Tao Yu, Xiangwei Xia, Huan Xu   +3 more
doaj   +1 more source