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Fragile complexity of comparison-based algorithms

Research output: Contribution to book/anthology/report/proceedingArticle in proceedingsResearchpeer-review

  • Peyman Afshani
  • Rolf Fagerberg, University of Southern Denmark
  • ,
  • David Hammer, University of Southern Denmark, Johann Wolfgang Goethe Universitat Frankfurt am Main
  • ,
  • Riko Jacob, IT University of Copenhagen
  • ,
  • Irina Kostitsyna, Eindhoven University of Technology
  • ,
  • Ulrich Meyer, Johann Wolfgang Goethe Universitat Frankfurt am Main
  • ,
  • Manuel Penschuck, Johann Wolfgang Goethe Universitat Frankfurt am Main
  • ,
  • Nodari Sitchinava

We initiate a study of algorithms with a focus on the computational complexity of individual elements, and introduce the fragile complexity of comparison-based algorithms as the maximal number of comparisons any individual element takes part in. We give a number of upper and lower bounds on the fragile complexity for fundamental problems, including Minimum, Selection, Sorting and Heap Construction. The results include both deterministic and randomized upper and lower bounds, and demonstrate a separation between the two settings for a number of problems. The depth of a comparator network is a straight-forward upper bound on the worst case fragile complexity of the corresponding fragile algorithm. We prove that fragile complexity is a different and strictly easier property than the depth of comparator networks, in the sense that for some problems a fragile complexity equal to the best network depth can be achieved with less total work and that with randomization, even a lower fragile complexity is possible.

Original languageEnglish
Title of host publication27th Annual European Symposium on Algorithms, ESA 2019
EditorsMichael A. Bender, Ola Svensson, Grzegorz Herman
Number of pages19
PublisherSchloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
Publication year2019
Article number2
ISBN (Electronic)9783959771245
Publication statusPublished - 2019
Event27th Annual European Symposium on Algorithms, ESA 2019 - Munich/Garching, Germany
Duration: 9 Sept 201911 Sept 2019


Conference27th Annual European Symposium on Algorithms, ESA 2019
SeriesLeibniz International Proceedings in Informatics, LIPIcs

    Research areas

  • Algorithms, Comparison based algorithms, Lower bounds

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ID: 172713870