Results 61 to 70 of about 17,262 (251)

GRAPH ENERGY OF THE COPRIME GRAPH ON GENERALIZED QUATERNION GROUP

Barekeng
This paper investigates the Degree Square Sum Energy , Degree Exponent Energy , and Degree Exponent Sum Energy  of the coprime graph on generalized quaternion group ​.
Miftahurrahman Miftahurrahman, I Gede Adhitya Wisnu Wardhana, Nur Idayu Alimon, Nor Haniza Sarmin   +3 more
doaj   +1 more source

Fast Spectral Approximation of Structured Graphs with Applications to Graph Filtering

Algorithms, 2020
To analyze and synthesize signals on networks or graphs, Fourier theory has been extended to irregular domains, leading to a so-called graph Fourier transform.
Mario Coutino, Sundeep Prabhakar Chepuri, Takanori Maehara, Geert Leus   +3 more
doaj   +1 more source

Gravity‐Dependent Modulation of Downbeat Nystagmus: Insights From Velocity‐Storage Dysfunction

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Downbeat nystagmus varies with head position, a phenomenon termed gravity‐dependent modulation. We aimed to clarify its mechanism using a velocity‐storage model. Methods In 10 patients with downbeat nystagmus due to cerebellar disorders, we recorded eye movements at different pitch‐ and roll‐axis head positions.
Ji‐Hyung Park, Eun‐Hyuk Choi, Jorge Otero‐Millan, David S. Zee, Jeong‐Yoon Choi, Ji‐Soo Kim   +5 more
wiley   +1 more source

Eigenvector Distance-Modulated Graph Neural Network: Spectral Weighting for Enhanced Node Classification

Mathematics
Graph Neural Networks (GNNs) face significant challenges in node classification across diverse graph structures. Traditional message passing mechanisms often fail to adaptively weight node relationships, thereby limiting performance in both homophilic ...
Ahmed Begga, Francisco Escolano, Miguel Ángel Lozano   +2 more
doaj   +1 more source

Negative (and positive) circles in signed graphs: A problem collection

AKCE International Journal of Graphs and Combinatorics, 2018
A signed graph is a graph whose edges are labeled positive or negative. The sign of a circle (cycle, circuit) is the product of the signs of its edges. Most of the essential properties of a signed graph depend on the signs of its circles. Here I describe
Thomas Zaslavsky
doaj   +1 more source

Arterial Spin‐Labeling MRI at the Cortical‐CSF Interface: A Novel Biomarker in Alzheimer Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background/Objective Arterial spin‐labeling (ASL) MRI can measure perfusion signal adjacent to CSF spaces and may provide information regarding CSF‐adjacent water transport physiology. We developed an automated pipeline to extract cortical‐CSF interface (IF) perfusion for comparison between Alzheimer disease (AD) and cognitively normal ...
Mona Asghariahmadabad, Pouya Metanat, Michael Thomas, Luke W. Bonham, Tyson Lam, Mehmet Kurt, Hong Nguyen, Tara Ellingson, Mauro Zucchelli, Stefano Casagranda, Quin Lu, Andreas M. Rauschecker, Leo Sugrue, Luis E. Savastano, Christopher P. Hess, Kamalini Ranasinghe, S. Andrew Josephson, Bruce L. Miller, Jennifer S. Yokoyama, Gil D. Rabinovici, Peter A. Ljubenkov, Lawren VandeVrede, Kambiz Nael   +22 more
wiley   +1 more source

Open problems in the spectral theory of signed graphs

The Art of Discrete and Applied Mathematics, 2019
Signed graphs are graphs whose edges get a sign $+1$ or $-1$ (the signature). Signed graphs can be studied by means of graph matrices extended to signed graphs in a natural way. Recently, the spectra of signed graphs have attracted much attention from graph spectra specialists.
Francesco Belardo, Sebastian M. Cioaba, Jack H. Koolen, Jianfeng Wang 0002   +3 more
openaire   +5 more sources

CSF Cytokine Network Organization Predicts Progression Independent of Relapse and MRI Activity in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Progression independent of relapse activity is a major determinant of long‐term disability in multiple sclerosis, but its immunopathologic basis remains incompletely understood. We investigated whether relapse‐independent progression in radiologically stable relapsing–remitting multiple sclerosis is associated with distinct ...
Antonio Bruno, Matteo Conti, Ettore Dolcetti, Federica Azzolini, Angela Borrelli, Roberta Fantozzi, Mario Stampanoni Bassi, Giovanni Galifi, Giuseppe Maccarrone, Luca Montaguti, Marco Cervigni, Maddalena Dal Pozzo, Roberto Furlan, Annamaria Finardi, Girolama Alessandra Marfia, Marco Salvetti, Antonella Conte, Fabio Buttari, Diego Centonze, Luana Gilio   +19 more
wiley   +1 more source

MATHEMATICAL MODELING OF BIOLOGICAL INTERACTIONS: FORMALISMS AND CONTEMPORARY APPLICATIONS

Avances en Ciencias e Ingeniería
This paper introduces an advanced mathematical framework for describing biological interactions through spectral graph theory. We examine differential equations coupled with various Laplacians (classical, signless, and normalized) to address competition,
Luis Rojas, Juan Castillo, José García
doaj   +1 more source

Insight into Spectral Graph Theory and Spectral Graph Neural Networks

WSEAS TRANSACTIONS ON INFORMATION SCIENCE AND APPLICATIONS
Graph Neural Networks (GNNs) are a class of neural networks specifically designed to process and extract information from graph-structured data by leveraging its inherent topological structure. Among these, Graph Convolutional Networks (GCNs) extend the concept of convolution—initially developed for Convolutional Neural Networks (ConvNets)—to operate ...
Stratos Tsolakidis, Anastasios Tsolakidis, Nikitas N. Karanikolas, Christos Skourlas   +3 more
openaire   +1 more source