How good is the Chord algorithm?

Constantinos Daskalakis, Mihalis Yannakakis, Ilias Diakonikolas

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The Chord algorithm is a popular, simple method for the succinct approximation of curves, which is widely used, under different names, in a variety of areas, such as, multiobjective and parametric optimization, computational geometry, and graphics. We analyze the performance of the chord algorithm, as compared to the optimal approximation that achieves a desired accuracy with the minimum number of points. We prove sharp upper and lower bounds, both in the worst case and average case setting.
Original languageEnglish
Title of host publicationProceedings of the Twenty-First Annual ACM-SIAM Symposium on Discrete Algorithms
Number of pages14
ISBN (Electronic)978-1-61197-307-5
Publication statusPublished - 2010


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