[HTML][HTML] The topology of higher-order complexes associated with brain hubs in human connectomes

M Andjelković, B Tadić, R Melnik - Scientific reports, 2020 - nature.com
Higher-order connectivity in complex systems described by simplexes of different orders
provides a geometry for simplex-based dynamical variables and interactions. Simplicial …

Dense power-law networks and simplicial complexes

OT Courtney, G Bianconi - Physical Review E, 2018 - APS
There is increasing evidence that dense networks occur in on-line social networks,
recommendation networks and in the brain. In addition to being dense, these networks are …

Rich-club organization of the human connectome

MP Van Den Heuvel, O Sporns - Journal of Neuroscience, 2011 - Soc Neuroscience
The human brain is a complex network of interlinked regions. Recent studies have
demonstrated the existence of a number of highly connected and highly central neocortical …

Multiplex core–periphery organization of the human connectome

F Battiston, J Guillon, M Chavez… - Journal of the …, 2018 - royalsocietypublishing.org
What is the core of the human brain is a fundamental question that has been mainly
addressed by studying the anatomical connections between differently specialized areas …

Simplicial complexes: higher-order spectral dimension and dynamics

JJ Torres, G Bianconi - Journal of Physics: Complexity, 2020 - iopscience.iop.org
Simplicial complexes constitute the underlying topology of interacting complex systems
including among the others brain and social interaction networks. They are generalized …

An edge-centric perspective on the human connectome: link communities in the brain

MA de Reus, VM Saenger, RS Kahn… - … of the Royal …, 2014 - royalsocietypublishing.org
Brain function depends on efficient processing and integration of information within a
complex network of neural interactions, known as the connectome. An important aspect of …

[HTML][HTML] Functional complexity emerging from anatomical constraints in the brain: the significance of network modularity and rich-clubs

G Zamora-López, Y Chen, G Deco, ML Kringelbach… - Scientific reports, 2016 - nature.com
The large-scale structural ingredients of the brain and neural connectomes have been
identified in recent years. These are, similar to the features found in many other real …

Weighted simplicial complexes and their representation power of higher-order network data and topology

F Baccini, F Geraci, G Bianconi - Physical Review E, 2022 - APS
Hypergraphs and simplical complexes both capture the higher-order interactions of complex
systems, ranging from higher-order collaboration networks to brain networks. One open …

[HTML][HTML] Topological organization of connectivity strength in the rat connectome

MP van den Heuvel, LH Scholtens… - Brain structure and …, 2016 - Springer
The mammalian brain is a complex network of anatomically interconnected regions. Animal
studies allow for an invasive measurement of the connections of these networks at the …

Understanding structural-functional relationships in the human brain: a large-scale network perspective

Z Wang, Z Dai, G Gong, C Zhou, Y He - The Neuroscientist, 2015 - journals.sagepub.com
Relating the brain's structural connectivity (SC) to its functional connectivity (FC) is a
fundamental goal in neuroscience because it is capable of aiding our understanding of how …