Analysis of Dynamic Graphs and Dynamic Metric Spaces via Zigzag Persistence

DOI10.1007/978-3-030-43408-3_14zbMath1448.55008OpenAlexW3037216446MaRDI QIDQ5118376

Zane Smith, Facundo Mémoli, Woojin Kim

Publication date: 8 September 2020

Published in: Topological Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-43408-3_14

Mathematics Subject Classification ID

Persistent homology and applications, topological data analysis (55N31) Topological data analysis (62R40)

Related Items (2)

Topological data analysis approaches to uncovering the timing of ring structure onset in filamentous networks ⋮ What Are Higher-Order Networks?

Uses Software

• Dionysus
• GitHub
• PHoDMSs
• Formigramator
• Boids

Cites Work

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• Categorified Reeb graphs
• Stability of persistence diagrams
• Reporting flock patterns
• Algebraic stability of zigzag persistence modules
• Classifying clustering schemes
• Zigzag persistence
• Spatiotemporal persistent homology for dynamic metric spaces
• Categorification of persistent homology
• Computational Complexity of the Interleaving Distance
• Proximity of persistence modules and their diagrams
• Zigzag persistent homology and real-valued functions
• Zigzag persistent homology in matrix multiplication time

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