Matches in SemOpenAlex for { <https://semopenalex.org/work/W4312888971> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W4312888971 endingPage "52" @default.
- W4312888971 startingPage "38" @default.
- W4312888971 abstract "AbstractLet S be a string of length n over an alphabet (varSigma ) and let Q be a subset of (varSigma ) of size (q ge 2). The co-occurrence problem is to construct a compact data structure that supports the following query: given an integer w return the number of length-w substrings of S that contain each character of Q at least once. This is a natural string problem with applications to, e.g., data mining, natural language processing, and DNA analysis. The state of the art is an (O(sqrt{nq})) space data structure that—with some minor additions—supports queries in (O(log log n)) time [CPM 2021].Our contributions are as follows. Firstly, we analyze the problem in terms of a new, natural parameter d, giving a simple data structure that uses O(d) space and supports queries in (O(log log n)) time. The preprocessing algorithm does a single pass over S, runs in expected O(n) time, and uses (O(d + q)) space in addition to the input. Furthermore, we show that O(d) space is optimal and that (O(log log n))-time queries are optimal given optimal space. Secondly, we bound (d = O(sqrt{nq})), giving clean bounds in terms of n and q that match the state of the art. Furthermore, we prove that (varOmega (sqrt{nq})) bits of space is necessary in the worst case, meaning that the (O(sqrt{nq})) upper bound is tight to within polylogarithmic factors. All of our results are based on simple and intuitive combinatorial ideas that simplify the state of the art.KeywordsStringsData structuresLower bounds" @default.
- W4312888971 created "2023-01-05" @default.
- W4312888971 creator A5047913130 @default.
- W4312888971 creator A5070148734 @default.
- W4312888971 creator A5083100766 @default.
- W4312888971 date "2022-01-01" @default.
- W4312888971 modified "2023-09-27" @default.
- W4312888971 title "The Complexity of the Co-occurrence Problem" @default.
- W4312888971 cites W1675727887 @default.
- W4312888971 cites W1995163086 @default.
- W4312888971 cites W2003270131 @default.
- W4312888971 cites W2006683254 @default.
- W4312888971 cites W2039111527 @default.
- W4312888971 cites W2052207834 @default.
- W4312888971 cites W2090021115 @default.
- W4312888971 cites W2111091497 @default.
- W4312888971 cites W2113139394 @default.
- W4312888971 cites W2114469075 @default.
- W4312888971 cites W2165281565 @default.
- W4312888971 cites W2898443713 @default.
- W4312888971 cites W3184939197 @default.
- W4312888971 cites W4242890242 @default.
- W4312888971 doi "https://doi.org/10.1007/978-3-031-20643-6_4" @default.
- W4312888971 hasPublicationYear "2022" @default.
- W4312888971 type Work @default.
- W4312888971 citedByCount "0" @default.
- W4312888971 crossrefType "book-chapter" @default.
- W4312888971 hasAuthorship W4312888971A5047913130 @default.
- W4312888971 hasAuthorship W4312888971A5070148734 @default.
- W4312888971 hasAuthorship W4312888971A5083100766 @default.
- W4312888971 hasBestOaLocation W43128889712 @default.
- W4312888971 hasConcept C111472728 @default.
- W4312888971 hasConcept C111919701 @default.
- W4312888971 hasConcept C11413529 @default.
- W4312888971 hasConcept C114614502 @default.
- W4312888971 hasConcept C118615104 @default.
- W4312888971 hasConcept C134306372 @default.
- W4312888971 hasConcept C138885662 @default.
- W4312888971 hasConcept C157486923 @default.
- W4312888971 hasConcept C162319229 @default.
- W4312888971 hasConcept C182407805 @default.
- W4312888971 hasConcept C199360897 @default.
- W4312888971 hasConcept C2778572836 @default.
- W4312888971 hasConcept C2780586882 @default.
- W4312888971 hasConcept C33923547 @default.
- W4312888971 hasConcept C37914503 @default.
- W4312888971 hasConcept C41008148 @default.
- W4312888971 hasConcept C48103436 @default.
- W4312888971 hasConcept C63553672 @default.
- W4312888971 hasConcept C77553402 @default.
- W4312888971 hasConcept C97137487 @default.
- W4312888971 hasConceptScore W4312888971C111472728 @default.
- W4312888971 hasConceptScore W4312888971C111919701 @default.
- W4312888971 hasConceptScore W4312888971C11413529 @default.
- W4312888971 hasConceptScore W4312888971C114614502 @default.
- W4312888971 hasConceptScore W4312888971C118615104 @default.
- W4312888971 hasConceptScore W4312888971C134306372 @default.
- W4312888971 hasConceptScore W4312888971C138885662 @default.
- W4312888971 hasConceptScore W4312888971C157486923 @default.
- W4312888971 hasConceptScore W4312888971C162319229 @default.
- W4312888971 hasConceptScore W4312888971C182407805 @default.
- W4312888971 hasConceptScore W4312888971C199360897 @default.
- W4312888971 hasConceptScore W4312888971C2778572836 @default.
- W4312888971 hasConceptScore W4312888971C2780586882 @default.
- W4312888971 hasConceptScore W4312888971C33923547 @default.
- W4312888971 hasConceptScore W4312888971C37914503 @default.
- W4312888971 hasConceptScore W4312888971C41008148 @default.
- W4312888971 hasConceptScore W4312888971C48103436 @default.
- W4312888971 hasConceptScore W4312888971C63553672 @default.
- W4312888971 hasConceptScore W4312888971C77553402 @default.
- W4312888971 hasConceptScore W4312888971C97137487 @default.
- W4312888971 hasLocation W43128889711 @default.
- W4312888971 hasLocation W43128889712 @default.
- W4312888971 hasLocation W43128889713 @default.
- W4312888971 hasOpenAccess W4312888971 @default.
- W4312888971 hasPrimaryLocation W43128889711 @default.
- W4312888971 hasRelatedWork W184708140 @default.
- W4312888971 hasRelatedWork W2577924862 @default.
- W4312888971 hasRelatedWork W2751037589 @default.
- W4312888971 hasRelatedWork W2886879527 @default.
- W4312888971 hasRelatedWork W2951256320 @default.
- W4312888971 hasRelatedWork W2952550298 @default.
- W4312888971 hasRelatedWork W2998241823 @default.
- W4312888971 hasRelatedWork W3010398716 @default.
- W4312888971 hasRelatedWork W4301385667 @default.
- W4312888971 hasRelatedWork W4302315896 @default.
- W4312888971 isParatext "false" @default.
- W4312888971 isRetracted "false" @default.
- W4312888971 workType "book-chapter" @default.