Search Results - "spectral graph theory"

Voxel-Wise Brain Graphs From Diffusion MRI: Intrinsic Eigenspace Dimensionality and Application to Functional MRI

Authors: Behjat, Hamid Tarun, Anjali Abramian, David et al.

Source: IEEE Open Journal of Engineering in Medicine and Biology. 6:158-167

Subject Terms: Brain graph, diffusion MRI, functional MRI, graph signal processing, spectral graph theory

File Description: electronic

Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-196438
https://doi.org/10.1109/ojemb.2023.3267726

Coherency-Constrained Spectral Clustering for Power Network Reduction

Authors: Mario D. Baquedano-Aguilar Sean Meyn Arturo Bretas

Source: IEEE Open Access Journal of Power and Energy, Vol 12, Pp 88-99 (2025)

Subject Terms: TK1001-1841, Production of electric energy or power. Powerplants. Central stations, Distribution or transmission of electric power, network reduction, function approximation, TK3001-3521, spectral graph theory, Aggregation of electrical components, UCED

Access URL: https://doaj.org/article/5b833c596f09424e91e70d4a11d4b53d

Spectral graph model for fMRI: A biophysical, connectivity-based generative model for the analysis of frequency-resolved resting-state fMRI

Authors: Raj, Ashish Sipes, Benjamin S Verma, Parul et al.

Subject Terms: Biological Psychology, Physical Sciences, Psychology, Biomedical Imaging, Neurosciences, Clinical Research, 1.1 Normal biological development and functioning, Neurological, Good Health and Well Being, fMRI, functional networks, graph Laplacian, graph harmonics, spectral graph theory, structural connectivity

Access URL: https://escholarship.org/uc/item/6jn9x467

On the cospectrality between graphs and pseudographs

Authors: Eleonora Andreotti Daniel Remondini Armando Bazzani

Source: Applied Network Science, Vol 10, Iss 1, Pp 1-15 (2025)

Subject Terms: Pseudograph, Graph reduction, Spectral graph theory, Complex network, Graph neural network, Applied mathematics. Quantitative methods, T57-57.97

File Description: electronic resource

Relation: https://doaj.org/toc/2364-8228

Access URL: https://doaj.org/article/77c6b68bd4ad452fa152e1ce264ea33f

Spectral graph theory to investigate topological and dynamic properties of EEG-based brain networks: an application to post-stroke patients

Authors: Ranieri A. Pichiorri F. Mongiardini E. et al.

Source: 2024 46th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC). :1-4

Subject Terms: Stroke, Male, Humans, Brain, Electroencephalography, Female, Nerve Net, Middle Aged, Algorithms, EEG, functional connectivity, random walk, spectral graph theory, stroke

File Description: application/pdf

Access URL: https://pubmed.ncbi.nlm.nih.gov/40039414

Impaired long-range excitatory time scale predicts abnormal neural oscillations and cognitive deficits in Alzheimer’s disease

Authors: Verma, Parul Ranasinghe, Kamalini Prasad, Janani et al.

Source: Alzheimer's Research & Therapy. 16(1)

Subject Terms: 32 Biomedical and Clinical Sciences (for-2020), 3209 Neurosciences (for-2020), Neurodegenerative (rcdc), Aging (rcdc), Alzheimer's Disease including Alzheimer's Disease Related Dementias (AD/ADRD) (rcdc), Dementia (rcdc), Acquired Cognitive Impairment (rcdc), Brain Disorders (rcdc), Basic Behavioral and Social Science (rcdc), Neurosciences (rcdc), Clinical Research (rcdc), Alzheimer's Disease (rcdc), Behavioral and Social Science (rcdc), 2.1 Biological and endogenous factors (hrcs-rac), Mental health (hrcs-hc), Neurological (hrcs-hc), Humans (mesh), Middle Aged (mesh), Aged (mesh), Alzheimer Disease (mesh), Cognition Disorders (mesh), Cognitive Dysfunction (mesh), Brain (mesh), Cognition (mesh), Brain activity, Alzheimer's disease, Magnetoencephalography, Spectral graph theory, Cognitive decline, Brain (mesh), Humans (mesh), Alzheimer Disease (mesh), Cognition (mesh), Cognition Disorders (mesh), Aged (mesh), Middle Aged (mesh), Cognitive Dysfunction (mesh), Alzheimer’s disease, Brain activity, Cognitive decline, Magnetoencephalography, Spectral graph theory, Humans (mesh), Middle Aged (mesh), Aged (mesh), Alzheimer Disease (mesh), Cognition Disorders (mesh), Cognitive Dysfunction (mesh), Brain (mesh), Cognition (mesh), 11 Medical and Health Sciences (for), 32 Biomedical and clinical sciences (for-2020), 42 Health sciences (for-2020)

File Description: application/pdf

Access URL: https://escholarship.org/uc/item/50n7s7q9
https://escholarship.org/content/qt50n7s7q9/qt50n7s7q9.pdf

The Quantum-Graph-Arithmetic (QGA) Framework: A Revolutionary Interdisciplinary Approach to the Riemann Hypothesis

Authors: Singh, Abhinaw

Subject Terms: Riemann Hypothesis, Quantum Number Theory, Zeta Function Zeros, Spectral Graph Theory, Quantum Hamiltonian for Zeta Zeros

Eigenvalue Bounds for Sum-Rank-Metric Codes

Authors: Aida Abiad Antonina P. Khramova Alberto Ravagnani

Source: IEEE Transactions on Information Theory. 70:4843-4855

Subject Terms: FOS: Computer and information sciences, Eigenvalues and eigenfunctions, Manganese, Measurement, k-independence number, Computer Science - Information Theory, Information Theory (cs.IT), eigenvalues, MSRD code, network coding, 0102 computer and information sciences, graph, spectral graph theory, 01 natural sciences, Codes, Graph theory, bound, Network coding, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 0101 mathematics, sum-rank-metric code, Upper bound

Access URL: http://arxiv.org/abs/2307.13613
https://research.tue.nl/en/publications/81345d9c-1a97-4544-9e79-cf4ca4d25f49
https://doi.org/10.1109/TIT.2023.3339808

Navigational bottlenecks in nonconservative diffusion dynamics on networks

Authors: Soares, Giovanni G. Estrada, Ernesto Ministerio de Ciencia e Innovación (España) et al.

Contributors: Soares, Giovanni G. Estrada, Ernesto Ministerio de Ciencia e Innovación (España) et al.

Source: Digital.CSIC. Repositorio Institucional del CSIC
Consejo Superior de Investigaciones Científicas (CSIC)
AIMS Mathematics, Vol 9, Iss 9, Pp 24297-24325 (2024)

Subject Terms: 0301 basic medicine, 0303 health sciences, diffusion, Complex networks, Spectral graph theory, complex networks, spectral graph theory, urban traffic, Urban traffic, communicability function, network navigability, Communicability function, Diffusion, 03 medical and health sciences, Network navigability, 11. Sustainability, QA1-939, Mathematics

File Description: application/pdf

Access URL: https://api.elsevier.com/content/abstract/scopus_id/85201601345
http://hdl.handle.net/10261/381277
https://doaj.org/article/b4a2d7b1090c426c9741987eef997d11

Brief Announcement: Distributed Sparsest Cut via Eigenvalue Estimation

Authors: Maus, Yannic de Vos, Tijn Yannic Maus and Tijn de Vos

Contributors: Maus, Yannic de Vos, Tijn Yannic Maus and Tijn de Vos

Subject Terms: CONGEST, Eigenvalues, Spectral Graph Theory, ddc:004, Laplacian, Sparsest Cut

File Description: application/pdf

Access URL: https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.DISC.2025.60

Derandomized Squaring: An Analytical Insight into Its True Behavior

Authors: Cohen, Gil Cohen, Itay Maor, Gal et al.

Contributors: Cohen, Gil Cohen, Itay Maor, Gal et al.

Subject Terms: Derandomized Squaring, Spectral Graph Theory, ddc:004, Analytic Combinatorics

File Description: application/pdf

Access URL: https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2025.40

Bayesian inference of a spectral graph model for brain oscillations

Authors: Jin, Huaqing Verma, Parul Jiang, Fei et al.

Subject Terms: Biomedical and Clinical Sciences, Health Sciences, Bioengineering, Neurosciences, Networking and Information Technology R&D (NITRD), Humans, Bayes Theorem, Brain, Magnetoencephalography, Models, Theoretical, Computer Simulation, Bayesian, Connectomes, Spectral graph theory, Simulation-based inference, Medical and Health Sciences, Psychology and Cognitive Sciences, Neurology & Neurosurgery, Biomedical and clinical sciences, Health sciences

File Description: application/pdf

Access URL: https://escholarship.org/uc/item/0933g3vs
https://escholarship.org/content/qt0933g3vs/qt0933g3vs.pdf

Intelligent Fault Detection in Power Grids Using Deep Learning Algorithms

Authors: Cencen Liu Li Ding He Yu

Source: IEEE Access, Vol 13, Pp 162713-162730 (2025)

Subject Terms: Spectral graph theory, deep learning, power grid modeling, fault detection, adaptive control, Electrical engineering. Electronics. Nuclear engineering, TK1-9971

File Description: electronic resource

Relation: https://ieeexplore.ieee.org/document/11153433/; https://doaj.org/toc/2169-3536

Access URL: https://doaj.org/article/12c522209c504d95ba62e16209938a0c

Coupled multi-objective optimization of water distribution network design and partitioning: a spectral graph-theory approach

Authors: Riyahi M. M. Giudicianni C. Haghighi A. et al.

Contributors: Riyahi M. M. Giudicianni C. Haghighi A. et al.

Source: Urban Water Journal. 21:745-756

Subject Terms: Multi-objective optimization, water distribution network, 0208 environmental biotechnology, 0207 environmental engineering, water network partitioning, 02 engineering and technology, spectral graph theory, district metered area, 6. Clean water

File Description: STAMPA

A framework for collaborative multi-robot mapping using spectral graph wavelets

Authors: Lukas Bernreiter Shehryar Khattak Lionel Ott et al.

Source: The International Journal of Robotics Research. 43:2070-2088

Subject Terms: FOS: Computer and information sciences, Computer Science - Robotics, 0209 industrial biotechnology, 02 engineering and technology, Multi-robot mapping, spectral graph theory, 0101 mathematics, Robotics (cs.RO), 01 natural sciences

Access URL: http://arxiv.org/abs/2210.13856

Geometric and spectral analysis on weighted digraphs

Authors: Fernando Lledó Ignacio Sevillano Ministerio de Economía y Competitividad (España) et al.

Contributors: Fernando Lledó Ignacio Sevillano Ministerio de Economía y Competitividad (España) et al.

Source: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)

Subject Terms: Mathematics - Functional Analysis, Sinks and sources, Matemáticas, Discrete laplacian, FOS: Mathematics, Mathematics - Combinatorics, 05C20, 05C50, 05C10, 05C21, 47B39, Spectral graph theory, Combinatorics (math.CO), Circulations and flows, Directed graphs, Value and capacity, Functional Analysis (math.FA)

File Description: application/pdf

Access URL: http://arxiv.org/abs/2305.16773
https://hdl.handle.net/10016/46991

Quantum Chaos and Anderson-like Localization in a Prime Number Hamiltonian

Authors: Karazoupis, Miltiadis

Subject Terms: Anderson Localization, Prime Number Hamiltonian, Gaussian Unitary Ensemble (GUE), p-adic Norms, Spectral Graph Theory, Quantum Chaos, Inverse Participation Ratio (IPR)

Validator-Certified Spectral Resolution of the Percolation Threshold in Finite Lattice Systems

Authors: Forrest M. Anderson, Forrest

Subject Terms: Percolation Threshold Spectral Graph Theory Graph Laplacian Spectral Gap Collapse Finite Lattice Systems Phase Transition Critical Probability Eigenvalue Convergence Validator Consensus SHA-256 Hashing Cryptographic Sealing Numerical Simulation Monte Carlo Methods Finite-Size Scaling Reproducible Research Scientific Integrity Discrete Geometry Random Graphs Computational Physics Mathematical Certification MSC 05C50 – Graphs and linear algebra (spectral graph theory) MSC 82B43 – Percolation MSC 68W10 – Algorithms (randomized algorithms) MSC 68P25 – Data integrity (cryptographic hashing) MSC 65C05 – Monte Carlo methods MSC 68T01 – Artificial intelligence (validator logic) MSC 68U20 – Simulation and modeling MSC 94A60 – Cryptography MSC 62P30 – Applications in physics MSC 97M50 – Applications of mathematics in science and engineering Validator-Grade Mathematics Spectral Collapse Hash-Sealed Science Mathematical Proof of Percolation Reproducible Simulation Protocol Cryptographic Verification of Scientific Results Eigenvalue-Based Phase Transition Mathematics of Connectivity Scientific Blockchain Logic Tamper-Proof Computation Mathematics Meets Cryptography Spectral Geometry of Random Systems Certified Scientific Resolution Mathematical Truth Sealed by Hash Zenodo-Ready Mathematical Artifact

Relation: https://zenodo.org/records/17211541; oai:zenodo.org:17211541; https://doi.org/10.5281/zenodo.17211541

Availability: https://doi.org/10.5281/zenodo.17211541
https://zenodo.org/records/17211541

Observations on graph invariants with the Lovász $ \vartheta $-function

Authors: Igal Sason

Source: AIMS Mathematics, Vol 9, Iss 6, Pp 15385-15468 (2024)

Subject Terms: lovász $ \vartheta $-function, QA1-939, FOS: Mathematics, Mathematics - Combinatorics, shannon capacity of graphs, zero-error information theory, Combinatorics (math.CO), graph invariants, spectral graph theory, Mathematics

Access URL: http://arxiv.org/abs/2310.19169
https://doaj.org/article/a74283ebac9a483b8939644f46a6a5da

Sparsest Cut and Eigenvalue Multiplicities on Low Degree Abelian Cayley Graphs

Authors: d'Orsi, Tommaso Jones, Chris Ruotolo, Jake et al.

Contributors: d'Orsi, Tommaso Jones, Chris Ruotolo, Jake et al.

Subject Terms: Sparsest Cut, Spectral Graph Theory, Cayley Graphs, Approximation Algorithms

File Description: application/pdf

Relation: Is Part Of LIPIcs, Volume 353, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2025); https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX/RANDOM.2025.16

Availability: https://doi.org/10.4230/LIPIcs.APPROX/RANDOM.2025.16
https://nbn-resolving.org/urn:nbn:de:0030-drops-243827
https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.APPROX/RANDOM.2025.16