Matches in SemOpenAlex for { <https://semopenalex.org/work/W2080772479> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W2080772479 endingPage "909" @default.
- W2080772479 startingPage "880" @default.
- W2080772479 abstract "We classify Abelian permutation group problems with respect to their parallel complexity. For such groups specified by generating permutations we show that testing membership, computing order and testing isomorphism are $NC^1 $-equivalent to (and therefore have essentially the same parallel complexity as) determining solvability of a system of linear equations modulo a product of small prime powers; we show that intersecting two such groups is $NC^1 $-equivalent to computing setwise stabilizers; we show that each of these problems is $NC^1 $-reducible to the problem of computing a generator-relator presentation. Then we prove that the aforementioned problems belong to $NC^3 $, thus identifying several natural set recognition problems in $NC$ which may lie outside $NC^2 $. Finally we prove that $NC^4 $ contains the problem of computing the cyclic decomposition of an Abelian permutation group. Background results include an $NC^1 $ solution to the problem of computing the product of n integers modulo a $lceil {log n} rceil $-bit integer, and an $NC^1 $ reduction from the problem of computing a path between two nodes in a graph to that of determining accessibility of one node from another." @default.
- W2080772479 created "2016-06-24" @default.
- W2080772479 creator A5034555443 @default.
- W2080772479 creator A5039352699 @default.
- W2080772479 date "1987-10-01" @default.
- W2080772479 modified "2023-09-25" @default.
- W2080772479 title "The Parallel Complexity of Abelian Permutation Group Problems" @default.
- W2080772479 cites W1965022641 @default.
- W2080772479 cites W1989887898 @default.
- W2080772479 cites W1990870868 @default.
- W2080772479 cites W2005874499 @default.
- W2080772479 cites W2017205387 @default.
- W2080772479 cites W2020810308 @default.
- W2080772479 cites W2056352038 @default.
- W2080772479 cites W2059378738 @default.
- W2080772479 cites W2074491398 @default.
- W2080772479 cites W2088141885 @default.
- W2080772479 cites W2088956149 @default.
- W2080772479 cites W2090133546 @default.
- W2080772479 cites W2113097540 @default.
- W2080772479 cites W2122786581 @default.
- W2080772479 cites W2139569497 @default.
- W2080772479 cites W2148139859 @default.
- W2080772479 cites W4210445513 @default.
- W2080772479 cites W70766189 @default.
- W2080772479 cites W2047569910 @default.
- W2080772479 doi "https://doi.org/10.1137/0216058" @default.
- W2080772479 hasPublicationYear "1987" @default.
- W2080772479 type Work @default.
- W2080772479 sameAs 2080772479 @default.
- W2080772479 citedByCount "31" @default.
- W2080772479 countsByYear W20807724792012 @default.
- W2080772479 countsByYear W20807724792013 @default.
- W2080772479 countsByYear W20807724792014 @default.
- W2080772479 crossrefType "journal-article" @default.
- W2080772479 hasAuthorship W2080772479A5034555443 @default.
- W2080772479 hasAuthorship W2080772479A5039352699 @default.
- W2080772479 hasConcept C114614502 @default.
- W2080772479 hasConcept C118615104 @default.
- W2080772479 hasConcept C121332964 @default.
- W2080772479 hasConcept C128622974 @default.
- W2080772479 hasConcept C136170076 @default.
- W2080772479 hasConcept C178790620 @default.
- W2080772479 hasConcept C185592680 @default.
- W2080772479 hasConcept C21308566 @default.
- W2080772479 hasConcept C24890656 @default.
- W2080772479 hasConcept C2781311116 @default.
- W2080772479 hasConcept C33923547 @default.
- W2080772479 hasConcept C54732982 @default.
- W2080772479 hasConcept C77670614 @default.
- W2080772479 hasConcept C92957085 @default.
- W2080772479 hasConceptScore W2080772479C114614502 @default.
- W2080772479 hasConceptScore W2080772479C118615104 @default.
- W2080772479 hasConceptScore W2080772479C121332964 @default.
- W2080772479 hasConceptScore W2080772479C128622974 @default.
- W2080772479 hasConceptScore W2080772479C136170076 @default.
- W2080772479 hasConceptScore W2080772479C178790620 @default.
- W2080772479 hasConceptScore W2080772479C185592680 @default.
- W2080772479 hasConceptScore W2080772479C21308566 @default.
- W2080772479 hasConceptScore W2080772479C24890656 @default.
- W2080772479 hasConceptScore W2080772479C2781311116 @default.
- W2080772479 hasConceptScore W2080772479C33923547 @default.
- W2080772479 hasConceptScore W2080772479C54732982 @default.
- W2080772479 hasConceptScore W2080772479C77670614 @default.
- W2080772479 hasConceptScore W2080772479C92957085 @default.
- W2080772479 hasIssue "5" @default.
- W2080772479 hasLocation W20807724791 @default.
- W2080772479 hasOpenAccess W2080772479 @default.
- W2080772479 hasPrimaryLocation W20807724791 @default.
- W2080772479 hasRelatedWork W1996569247 @default.
- W2080772479 hasRelatedWork W1996861589 @default.
- W2080772479 hasRelatedWork W2005866873 @default.
- W2080772479 hasRelatedWork W2033864528 @default.
- W2080772479 hasRelatedWork W2142561347 @default.
- W2080772479 hasRelatedWork W2183941084 @default.
- W2080772479 hasRelatedWork W3101611711 @default.
- W2080772479 hasRelatedWork W3158595287 @default.
- W2080772479 hasRelatedWork W3209490479 @default.
- W2080772479 hasRelatedWork W4299085884 @default.
- W2080772479 hasVolume "16" @default.
- W2080772479 isParatext "false" @default.
- W2080772479 isRetracted "false" @default.
- W2080772479 magId "2080772479" @default.
- W2080772479 workType "article" @default.