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Time-Space Trade-offs for Triangulating a Simple Polygon

Authors Boris Aronov, Matias Korman, Simon Pratt, André van Renssen, Marcel Roeloffzen

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Keywords
  • simple polygon
  • triangulation
  • shortest path
  • time-space trade-off

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Abstract

An s-workspace algorithm is an algorithm that has read-only access to the values of the input, write-only access to the output, and only uses O(s) additional words of space. We give a randomized s-workspace algorithm for triangulating a simple polygon P of n vertices, for any s up to n. The algorithm runs in O(n^2/s+n(log s)log^5(n/s)) expected time using O(s) variables, for any s up to n. In particular, the algorithm runs in O(n^2/s) expected time for most values of s.

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Boris Aronov, Matias Korman, Simon Pratt, André van Renssen, and Marcel Roeloffzen. Time-Space Trade-offs for Triangulating a Simple Polygon. In 15th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 53, pp. 30:1-30:12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016) https://doi.org/10.4230/LIPIcs.SWAT.2016.30

Author Details

Boris Aronov
Matias Korman
Simon Pratt
André van Renssen
Marcel Roeloffzen

References

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