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Research in Computational Topology

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Cover of 'Research in Computational Topology'

Table of Contents

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    Book Overview
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    Chapter 1 The Rank Invariant Stability via Interleavings
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    Chapter 2 Persistent Homology over Directed Acyclic Graphs
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    Chapter 3 A Complete Characterization of the One-Dimensional Intrinsic Čech Persistence Diagrams for Metric Graphs
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    Chapter 4 Comparing Directed and Weighted Road Maps
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    Chapter 5 Sweeping Costs of Planar Domains
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    Chapter 6 Scaffoldings and Spines: Organizing High-Dimensional Data Using Cover Trees, Local Principal Component Analysis, and Persistent Homology
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    Chapter 7 Density of Local Maxima of the Distance Function to a Set of Points in the Plane
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    Chapter 8 Mind the Gap: A Study in Global Development Through Persistent Homology
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    Chapter 9 Cluster Identification via Persistent Homology and Other Clustering Techniques, with Application to Liver Transplant Data
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    Chapter 10 Pseudo-Multidimensional Persistence and Its Applications
Attention for Chapter 2: Persistent Homology over Directed Acyclic Graphs
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