2026-07-26T01:16:08Z https://drops.dagstuhl.de/oai

oai:drops-oai.dagstuhl.de:6068 2024-03-06T10:37:36Z ddc:004 open_access

Color-Distance Oracles and Snippets Kopelowitz, Tsvi Krauthgamer, Robert Snippets Text Indexing Distance Oracles Near Neighbor Search 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. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Tsvi Kopelowitz and Robert Krauthgamer 2016 Is Part Of LIPIcs, Volume 54, 27th Annual Symposium on Combinatorial Pattern Matching (CPM 2016) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.CPM.2016.24 urn:nbn:de:0030-drops-60684 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CPM.2016.24 eng https://creativecommons.org/licenses/by/3.0/legalcode