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A History of Flips in Combinatorial Triangulations

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Book cover Computational Geometry (EGC 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7579))

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Abstract

Given two combinatorial triangulations, how many edge flips are necessary and sufficient to convert one into the other? This question has occupied researchers for over 75 years. We provide a comprehensive survey, including full proofs, of the various attempts to answer it.

As flips are a topic close to Ferran Hurtado’s heart, we would like to dedicate this article to him on the occasion of his 60th birthday.

Research supported in part by NSERC.

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Authors and Affiliations

  1. School of Computer Science, Carleton University, Canada

    Prosenjit Bose & Sander Verdonschot

Authors
  1. Prosenjit Bose
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  2. Sander Verdonschot
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Editor information

Editors and Affiliations

  1. Escuela Técnica Superior de Ingenieria Informática, Universidad de Sevilla, Avenida Reina Mercedes, s/n, 41012, Sevilla, Spain

    Alberto Márquez

  2. Escuela Politécnica Superior, Universidad de Alcalá, E226, Campus Universitario, Alcalá de Henares, 28871, Madrid, Spain

    Pedro Ramos

  3. Instituto de Matemáticas, Universidad Nacional Autónoma de México, Coyoacán, 04510, México. D.F, México

    Jorge Urrutia

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Bose, P., Verdonschot, S. (2012). A History of Flips in Combinatorial Triangulations. In: Márquez, A., Ramos, P., Urrutia, J. (eds) Computational Geometry. EGC 2011. Lecture Notes in Computer Science, vol 7579. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34191-5_3

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  • DOI: https://doi.org/10.1007/978-3-642-34191-5_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34190-8

  • Online ISBN: 978-3-642-34191-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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