Research in Computational Topology

Preface.- The Rank Invariant Stability via Interleavings (Claudia Landi).- Persistent Homology Over Directed Acyclic Graphs (Erin Wolf Chambers and David Letscher).- A Complete Characterization of the 1-Dimensional Intrinsic Cech Persistence Diagrams for Metric Graphs (Ellen Gasparovic, Maria Gommel, et al).- Comparing Directed and Weighted Road Maps (Alyson Bittner, Brittany Terese Fasy, et al).- Sweeping Costs of Planar Domains (Brooks Adams, Henry Adams, and Colin Roberts).- Scaffoldings and Spines: Organizing High-Dimensional Data Using Cover Trees, Local Principal Component Analysis, and Persistent Homology (Paul Bendich, Ellen Gasparovic, et al).- Density of local maxima of the distance function to a set of points in the plane (Nina Amenta, Erin Chambers, et al).- Mind the Gap: A Study in Global Development through Persistent Homology (Andrew Banman and Lori Ziegelmeier).- Cluster Identification via Persistent Homology and other Clustering Techniques, with Application to Liver Transplant Data (Berhanu A. Wubie, Axel Andres, et al).- Pseudo-multidimensional persistence and its applications (Catalina Betancourt, Mathieu Chalifour, et al).