LIPIcs.STACS.2014.614.pdf
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2-Stack Sorting is polynomial
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31st International Symposium on Theoretical Aspects of Computer Science (STACS 2014)
Series: Leibniz International Proceedings in Informatics (LIPIcs)
Conference: Symposium on Theoretical Aspects of Computer Science (STACS) - License:
Creative Commons Attribution 3.0 Unported license
- Publication Date: 2014-03-05
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Adeline Pierrot and Dominique Rossin. 2-Stack Sorting is polynomial. In 31st International Symposium on Theoretical Aspects of Computer Science (STACS 2014). Leibniz International Proceedings in Informatics (LIPIcs), Volume 25, pp. 614-626, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2014)
https://doi.org/10.4230/LIPIcs.STACS.2014.614
Abstract
This article deals with deciding whether a permutation is sortable with two stacks in series. Whether this decision problem lies in P or is NP-complete is a longstanding open problem since the introduction of serial compositions of stacks by Knuth in The Art of Computer Programming in 1973. We hereby prove that this decision problem lies in P by giving a polynomial algorithm to solve it. This algorithm uses the concept of pushall sorting, which was previously defined and studied by the authors.
Subject Classification
Keywords
- permutation
- stack
- sort
- NP-complete
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