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- W4242314863 abstract "Previous chapter Next chapter Full AccessProceedings Proceedings of the 2010 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)A Space–Time Tradeoff for Permutation ProblemsMikko Koivisto and Pekka ParviainenMikko KoivistoHelsinki Institute for Information Technology HIIT, University of HelsinkiHelsinki Institute for Information Technology HIIT, University of HelsinkiSearch for more papers by this author and Pekka ParviainenHelsinki Institute for Information Technology HIIT, University of HelsinkiHelsinki Institute for Information Technology HIIT, University of HelsinkiSearch for more papers by this authorpp.484 - 492Chapter DOI:https://doi.org/10.1137/1.9781611973075.41PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstract Many combinatorial problems—such as the traveling salesman, feedback arcset, cutwidth, and treewidth problem—can be formulated as finding a feasible permutation of n elements. Typically, such problems can be solved by dynamic programming in time and space O*(2n), by divide and conquer in time O*(4n) and polynomial space, or by a combination of the two in time O*(4n2−s) and space O*(2s) for s = n, n/2, n/4, …. Here, we show that one can improve the tradeoff to time O*(Tn) and space O*(Sn) with TS < 4 at any . The idea is to find a small family of “thin” partial orders on the n elements such that every linear order is an extension of one member of the family. Our construction is optimal within a natural class of partial order families. Previous chapter Next chapter RelatedDetails Published:2010ISBN:978-0-89871-701-3eISBN:978-1-61197-307-5 https://doi.org/10.1137/1.9781611973075Book Series Name:ProceedingsBook Code:PR135Book Pages:xviii + 1667" @default.
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- W4242314863 title "A Space–Time Tradeoff for Permutation Problems" @default.
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