文章基本信息

标题：Color-Distance Oracles and Snippets
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作者：Tsvi Kopelowitz ; Robert Krauthgamer
期刊名称：LIPIcs : Leibniz International Proceedings in Informatics
电子版ISSN：1868-8969
出版年度：2016
卷号：54
页码：24:1-24:10
DOI：10.4230/LIPIcs.CPM.2016.24
出版社：Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
摘要：In the snippets problem we are interested in preprocessing a text T so that given two pattern queries P_1 and P_2, one can quickly locate the occurrences of the patterns in T that are the closest to each other. A closely related problem is that of constructing a color-distance oracle, where the goal is to preprocess a set of points from some metric space, in which every point is associated with a set of colors, so that given two colors one can quickly locate two points associated with those colors, that are as close as possible to each other. We introduce efficient data structures for both color-distance oracles and the snippets problem. Moreover, we prove conditional lower bounds for these problems from both the 3SUM conjecture and the Combinatorial Boolean Matrix Multiplication conjecture.
关键词：Snippets; Text Indexing; Distance Oracles; Near Neighbor Search