Matches in SemOpenAlex for { <https://semopenalex.org/work/W2300360052> ?p ?o ?g. }
Showing items 1 to 99 of
99
with 100 items per page.
- W2300360052 abstract "We resolve the space complexity of single-pass streaming algorithms for approximating the classic set cover problem. For finding an α-approximate set cover (for α= o(√n)) via a single-pass streaming algorithm, we show that Θ(mn/α) space is both sufficient and necessary (up to an O(logn) factor); here m denotes number of the sets and n denotes size of the universe. This provides a strong negative answer to the open question posed by Indyk (2015) regarding the possibility of having a single-pass algorithm with a small approximation factor that uses sub-linear space. We further study the problem of estimating the size of a minimum set cover (as opposed to finding the actual sets), and establish that an additional factor of α saving in the space is achievable in this case and that this is the best possible. In other words, we show that Θ(mn/α2) space is both sufficient and necessary (up to logarithmic factors) for estimating the size of a minimum set cover to within a factor of α. Our algorithm in fact works for the more general problem of estimating the optimal value of a covering integer program. On the other hand, our lower bound holds even for set cover instances where the sets are presented in a random order." @default.
- W2300360052 created "2016-06-24" @default.
- W2300360052 creator A5022822553 @default.
- W2300360052 creator A5039619350 @default.
- W2300360052 creator A5060978295 @default.
- W2300360052 date "2016-06-19" @default.
- W2300360052 modified "2023-10-02" @default.
- W2300360052 title "Tight bounds for single-pass streaming complexity of the set cover problem" @default.
- W2300360052 cites W112063162 @default.
- W2300360052 cites W1965765215 @default.
- W2300360052 cites W1979790324 @default.
- W2300360052 cites W1995484833 @default.
- W2300360052 cites W2013652529 @default.
- W2300360052 cites W2020594369 @default.
- W2300360052 cites W2021016639 @default.
- W2300360052 cites W2040924621 @default.
- W2300360052 cites W2044471216 @default.
- W2300360052 cites W2059453880 @default.
- W2300360052 cites W2064379477 @default.
- W2300360052 cites W2143996311 @default.
- W2300360052 cites W2165753192 @default.
- W2300360052 cites W2295466155 @default.
- W2300360052 doi "https://doi.org/10.1145/2897518.2897576" @default.
- W2300360052 hasPublicationYear "2016" @default.
- W2300360052 type Work @default.
- W2300360052 sameAs 2300360052 @default.
- W2300360052 citedByCount "39" @default.
- W2300360052 countsByYear W23003600522016 @default.
- W2300360052 countsByYear W23003600522017 @default.
- W2300360052 countsByYear W23003600522018 @default.
- W2300360052 countsByYear W23003600522019 @default.
- W2300360052 countsByYear W23003600522020 @default.
- W2300360052 countsByYear W23003600522021 @default.
- W2300360052 countsByYear W23003600522022 @default.
- W2300360052 countsByYear W23003600522023 @default.
- W2300360052 crossrefType "proceedings-article" @default.
- W2300360052 hasAuthorship W2300360052A5022822553 @default.
- W2300360052 hasAuthorship W2300360052A5039619350 @default.
- W2300360052 hasAuthorship W2300360052A5060978295 @default.
- W2300360052 hasBestOaLocation W23003600521 @default.
- W2300360052 hasConcept C100808899 @default.
- W2300360052 hasConcept C111919701 @default.
- W2300360052 hasConcept C11413529 @default.
- W2300360052 hasConcept C114614502 @default.
- W2300360052 hasConcept C118615104 @default.
- W2300360052 hasConcept C126255220 @default.
- W2300360052 hasConcept C127413603 @default.
- W2300360052 hasConcept C134306372 @default.
- W2300360052 hasConcept C148764684 @default.
- W2300360052 hasConcept C177264268 @default.
- W2300360052 hasConcept C179799912 @default.
- W2300360052 hasConcept C199360897 @default.
- W2300360052 hasConcept C2778572836 @default.
- W2300360052 hasConcept C2780428219 @default.
- W2300360052 hasConcept C33923547 @default.
- W2300360052 hasConcept C39927690 @default.
- W2300360052 hasConcept C41008148 @default.
- W2300360052 hasConcept C77553402 @default.
- W2300360052 hasConcept C78519656 @default.
- W2300360052 hasConcept C97137487 @default.
- W2300360052 hasConceptScore W2300360052C100808899 @default.
- W2300360052 hasConceptScore W2300360052C111919701 @default.
- W2300360052 hasConceptScore W2300360052C11413529 @default.
- W2300360052 hasConceptScore W2300360052C114614502 @default.
- W2300360052 hasConceptScore W2300360052C118615104 @default.
- W2300360052 hasConceptScore W2300360052C126255220 @default.
- W2300360052 hasConceptScore W2300360052C127413603 @default.
- W2300360052 hasConceptScore W2300360052C134306372 @default.
- W2300360052 hasConceptScore W2300360052C148764684 @default.
- W2300360052 hasConceptScore W2300360052C177264268 @default.
- W2300360052 hasConceptScore W2300360052C179799912 @default.
- W2300360052 hasConceptScore W2300360052C199360897 @default.
- W2300360052 hasConceptScore W2300360052C2778572836 @default.
- W2300360052 hasConceptScore W2300360052C2780428219 @default.
- W2300360052 hasConceptScore W2300360052C33923547 @default.
- W2300360052 hasConceptScore W2300360052C39927690 @default.
- W2300360052 hasConceptScore W2300360052C41008148 @default.
- W2300360052 hasConceptScore W2300360052C77553402 @default.
- W2300360052 hasConceptScore W2300360052C78519656 @default.
- W2300360052 hasConceptScore W2300360052C97137487 @default.
- W2300360052 hasFunder F4320306076 @default.
- W2300360052 hasLocation W23003600521 @default.
- W2300360052 hasLocation W23003600522 @default.
- W2300360052 hasOpenAccess W2300360052 @default.
- W2300360052 hasPrimaryLocation W23003600521 @default.
- W2300360052 hasRelatedWork W1583783600 @default.
- W2300360052 hasRelatedWork W2143996311 @default.
- W2300360052 hasRelatedWork W2364499468 @default.
- W2300360052 hasRelatedWork W2383500046 @default.
- W2300360052 hasRelatedWork W2393028428 @default.
- W2300360052 hasRelatedWork W2950850544 @default.
- W2300360052 hasRelatedWork W2951839510 @default.
- W2300360052 hasRelatedWork W3006241023 @default.
- W2300360052 hasRelatedWork W3091824940 @default.
- W2300360052 hasRelatedWork W3145090562 @default.
- W2300360052 isParatext "false" @default.
- W2300360052 isRetracted "false" @default.
- W2300360052 magId "2300360052" @default.
- W2300360052 workType "article" @default.