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• W2950198535 abstract "Previous chapter Next chapter Full AccessProceedings Proceedings of the 2011 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA)Top-K Color Queries for Document RetrievalMarek Karpinski and Yakov NekrichMarek KarpinskiDepartment of Computer Science, University of BonnDepartment of Computer Science, University of Bonn*Supported in part by DFG grants and the Hausdorff Center excellence grant EXC 59-1.Search for more papers by this author and Yakov NekrichDepartment of Computer Science, University of BonnDepartment of Computer Science, University of Bonn†Supported in part by the Hausdorff Center excellence grant EXC 59-1.Search for more papers by this authorpp.401 - 411Chapter DOI:https://doi.org/10.1137/1.9781611973082.32PDFBibTexSections ToolsAdd to favoritesDownload CitationsTrack CitationsEmail SectionsAboutAbstract In this paper we describe a new efficient (in fact optimal) data structure for the top-K color problem. Each element of an array A is assigned a color c with priority p(c). For a query range [a, b] and a value K, we have to report K colors with the highest priorities among all colors that occur in A[a‥b], sorted in reverse order by their priorities. We show that such queries can be answered in O(K) time using an O(N log σ) bits data structure, where N is the number of elements in the array and σ is the number of colors. Thus our data structure is asymptotically optimal with respect to the worst-case query time and space. As an immediate application of our results, we obtain optimal time solutions for several document retrieval problems. The method of the paper could be also of independent interest. Previous chapter Next chapter RelatedDetails Published:2011ISBN:978-0-89871-993-2eISBN:978-1-61197-308-2 https://doi.org/10.1137/1.9781611973082Book Series Name:ProceedingsBook Code:PR138Book Pages:xviii-1788" @default.
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• W2950198535 title "Top-<i>K</i> Color Queries for Document Retrieval" @default.
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