Association for Women in Mathematics Series

Research in Computational Topology

Editors: Chambers, Erin, Fasy, Brittany Terese, Ziegelmeier, Lori (Eds.)

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  • Presents research from the first Workshop for Women in Computational Topology
  • Covers many applications in graphics, medical imaging, materials engineering, and GIS
  • Accessible to researchers in computational topology, statistics, computational biology, and machine learning
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eBook $79.99
price for USA in USD (gross)
  • ISBN 978-3-319-89593-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
price for USA in USD
  • ISBN 978-3-319-89592-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Based on the first Workshop for Women in Computational Topology that took place in 2016, this volume assembles new research and applications in computational topology.  Featured articles range over the breadth of the discipline, including topics such as surface reconstruction, topological data analysis, persistent homology, algorithms, and surface-embedded graphs.  Applications in graphics, medical imaging, and GIS are discussed throughout the book. Four of the papers in this volume are the product of working groups that were established and developed during the workshop. Additional papers were also solicited from the broader Women in Computational Topology network. The volume is accessible to a broad range of researchers, both within the field of computational topology and in related disciplines such as statistics, computational biology, and machine learning. 

About the authors

Erin Chambers is an Associate Professor at Saint Louis University.Brittany Terese Fasy is an Assistant Professor and Gianforte Faculty Fellow at Montana State University.Lori Ziegelmeier is an Assistant Professor at Macalester College.

Table of contents (10 chapters)

  • The Rank Invariant Stability via Interleavings

    Landi, Claudia

    Pages 1-10

  • Persistent Homology over Directed Acyclic Graphs

    Chambers, Erin Wolf (et al.)

    Pages 11-32

  • A Complete Characterization of the One-Dimensional Intrinsic Čech Persistence Diagrams for Metric Graphs

    Gasparovic, Ellen (et al.)

    Pages 33-56

  • Comparing Directed and Weighted Road Maps

    Bittner, Alyson (et al.)

    Pages 57-70

  • Sweeping Costs of Planar Domains

    Adams, Brooks (et al.)

    Pages 71-92

Buy this book

eBook $79.99
price for USA in USD (gross)
  • ISBN 978-3-319-89593-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
price for USA in USD
  • ISBN 978-3-319-89592-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Research in Computational Topology
Editors
  • Erin Chambers
  • Brittany Terese Fasy
  • Lori Ziegelmeier
Series Title
Association for Women in Mathematics Series
Series Volume
13
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
The Author(s) and the Association for Women in Mathematics
eBook ISBN
978-3-319-89593-2
DOI
10.1007/978-3-319-89593-2
Hardcover ISBN
978-3-319-89592-5
Series ISSN
2364-5733
Edition Number
1
Number of Pages
XIV, 202
Number of Illustrations
21 b/w illustrations, 77 illustrations in colour
Topics