{"paper":{"title":"Time-Space Trade-Offs for Lempel-Ziv Compressed Indexing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DS","authors_text":"Hjalte Wedel Vildh{\\o}j, Inge Li G{\\o}rtz, Mikko Berggren Ettienne, Philip Bille","submitted_at":"2017-06-30T10:02:10Z","abstract_excerpt":"Given a string $S$, the \\emph{compressed indexing problem} is to preprocess $S$ into a compressed representation that supports fast \\emph{substring queries}. The goal is to use little space relative to the compressed size of $S$ while supporting fast queries. We present a compressed index based on the Lempel--Ziv 1977 compression scheme. We obtain the following time-space trade-offs: For constant-sized alphabets; (i) $O(m + occ \\lg\\lg n)$ time using $O(z\\lg(n/z)\\lg\\lg z)$ space, or (ii) $O(m(1 + \\frac{\\lg^\\epsilon z}{\\lg(n/z)}) + occ(\\lg\\lg n + \\lg^\\epsilon z))$ time using $O(z\\lg(n/z))$ space"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.10094","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}