Tetrahedron equation: algebra, topology, and integrability

DV Talalaev - Russian Mathematical Surveys, 2021 - iopscience.iop.org
The Zamolodchikov tetrahedron equation inherits almost all the richness of structures and
topics in which the Yang–Baxter equation is involved. At the same time, this transition …

Artificial intelligence role in advancement of human brain connectome studies

D Shekouh, H Sadat Kaboli… - Frontiers in …, 2024 - frontiersin.org
Neurons are interactive cells that connect via ions to develop electromagnetic fields in the
brain. This structure functions directly in the brain. Connectome is the data obtained from …

DotMotif: an open-source tool for connectome subgraph isomorphism search and graph queries

JK Matelsky, EP Reilly, EC Johnson, J Stiso… - Scientific Reports, 2021 - nature.com
Recent advances in neuroscience have enabled the exploration of brain structure at the
level of individual synaptic connections. These connectomics datasets continue to grow in …

A simulated annealing algorithm for randomizing weighted networks

F Milisav, V Bazinet, RF Betzel, B Misic - Nature Computational Science, 2024 - nature.com
Scientific discovery in connectomics relies on network null models. The prominence of
network features is conventionally evaluated against null distributions estimated using …

Free-energy density functional for Strauss's model of transitive networks

D Escribano, JA Cuesta - Physical Review E, 2022 - APS
Ensemble models of graphs are one of the most important theoretical tools to study complex
networks. Among them, exponential random graphs (ERGs) have proven to be very useful in …

Transitions in random graphs of fixed degrees with many short cycles

FA López, ACC Coolen - Journal of Physics: Complexity, 2021 - iopscience.iop.org
We analyze maximum entropy random graph ensembles with constrained degrees, drawn
from arbitrary degree distributions, and a tuneable number of three-cycles (triangles). We …

States of idiosyncratic idealized cognitive models in acts of pragmatic meaning

EA Pushkarev, JS Rastvorova - Language Sciences, 2022 - Elsevier
The meta-analysis proposed in this study combines data from neuroscience, network
science, pragmatics and cognitive linguistics in an attempt to determine the structures that …

Metric structural human connectomes: localization and multifractality of eigenmodes

A Bobyleva, A Gorsky, S Nechaev, O Valba… - arXiv preprint arXiv …, 2024 - arxiv.org
In this study, we explore the fundamental principles behind the architecture of the human
brain's structural connectome, from the perspective of spectral analysis of Laplacian and …

Approaches to the use of graph theory to study the human EEG in health and cerebral pathology

KD Vigasina, EA Proshina, PM Gotovtsev… - Neuroscience and …, 2023 - Springer
The information content of EEG recordings, which are widely used and important for
assessing the functional activity of the brain, is significantly increased by the use of …

Transitions in loopy random graphs with fixed degrees and arbitrary degree distributions

FA Lopez, ACC Coolen - arXiv preprint arXiv:2008.11002, 2020 - arxiv.org
We analyze maximum entropy random graph ensembles with constrained degrees, drawn
from arbitrary degree distributions, and a tuneable number of 3-loops (triangles). We find …