文章基本信息

标题：Fragile Complexity of Comparison-Based Algorithms
本地全文：下载
作者：Peyman Afshani ; Rolf Fagerberg ; David Hammer 等
期刊名称：LIPIcs : Leibniz International Proceedings in Informatics
电子版ISSN：1868-8969
出版年度：2019
卷号：144
页码：1-19
DOI：10.4230/LIPIcs.ESA.2019.2
出版社：Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
摘要：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.
关键词：Algorithms; comparison based algorithms; lower bounds