Simplicial complexes and complex systems

DOI10.1088/1361-6404/aae790zbMath1420.55033arXiv1807.07747OpenAlexW3098848338WikidataQ57732087 ScholiaQ57732087MaRDI QIDQ5231756

Vsevolod Salnikov, Renaud Lambiotte, Daniele Cassese

Publication date: 3 September 2019

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.07747

zbMATH Keywords

simplicial complexestopological data analysisnetwork sciencepersistence homology

Mathematics Subject Classification ID

Related Items (10)

Networks beyond pairwise interactions: structure and dynamics ⋮ Flow-Based Community Detection in Hypergraphs ⋮ Sombor index and degree-related properties of simplicial networks ⋮ A hierarchy of dismantlings in graphs ⋮ The structure and dynamics of networks with higher order interactions ⋮ COMBINATORIAL PROPERTIES FOR A CLASS OF SIMPLICIAL COMPLEXES EXTENDED FROM PSEUDO-FRACTAL SCALE-FREE WEB ⋮ A social communication model based on simplicial complexes ⋮ Simplicial SIRS epidemic models with nonlinear incidence rates ⋮ Stochastic epidemic model on a simplicial complex ⋮ Consensus on simplicial complexes: Results on stability and synchronization

Uses Software

• Gudhi
• javaPlex
• PHAT
• jHoles
• Holes
• PRMLT

Cites Work

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• jHoles: a tool for understanding biological complex networks via clique weight rank persistent homology
• Persistent homology of collaboration networks
• Cliques and cavities in the human connectome
• Maximally persistent cycles in random geometric complexes
• Centralities in simplicial complexes. Applications to protein interaction networks
• Computing persistent homology
• Topological persistence and simplification
• Topological data analysis of financial time series: landscapes of crashes
• Quantifying force networks in particulate systems
• javaPlex: A Research Software Package for Persistent (Co)Homology
• PHAT – Persistent Homology Algorithms Toolbox
• The Gudhi Library: Simplicial Complexes and Persistent Homology
• Topology of random simplicial complexes: a survey
• The Structure and Function of Complex Networks
• Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps
• Three Hypergraph Eigenvector Centralities
• Topology of viral evolution
• Persistent topological features of dynamical systems
• Surveys on Discrete and Computational Geometry
• PERSISTENCE BARCODES FOR SHAPES
• Statistical topological data analysis using persistence landscapes
• Barcodes: The persistent topology of data

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