Matches in SemOpenAlex for { <https://semopenalex.org/work/W2893559467> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W2893559467 endingPage "37" @default.
- W2893559467 startingPage "30" @default.
- W2893559467 abstract "The problem of sorting a permutation π over alphabet ∑={1,2,3…n} with the minimum number of transpositions is known to be intractable. That is, the computation of transposition distance i.e. dt(π), is hard. Such sorting is equivalent to determining the distance between any α, β of the symmetric group Sn over ∑ under the transposition operation. It has applications in computer interconnection networks where a node is denoted by a permutation, and genetics where a genome is modeled by a permutation. The maximum distance between any pair of permutations in Sn is the diameter i.e. diam(Γ(Sn)), of the corresponding Cayley graph Γ(Sn). It corresponds to the maximum latency in the computer interconnection network modeled by Γ(Sn) and the maximum genetic dissimilarity between any pair α, β in Sn. We call transpositions, prefix transpositions, suffix transpositions and prefix/suffix transpositions as block-moves. We design an algorithm to compute dt(π) ∀π in Sn and compute diam(Γ(Sn)) with transpositions in O(n!n3) time and O(n!n2) space; at an amortized time of O(n3). The same can be computed for the remaining block moves in O(n2logn) amortized time and O(n!n) space." @default.
- W2893559467 created "2018-10-05" @default.
- W2893559467 creator A5061035744 @default.
- W2893559467 creator A5091758089 @default.
- W2893559467 date "2019-04-01" @default.
- W2893559467 modified "2023-09-30" @default.
- W2893559467 title "Sorting permutations with transpositions in O(n3) amortized time" @default.
- W2893559467 cites W1131689765 @default.
- W2893559467 cites W1971619037 @default.
- W2893559467 cites W1986030769 @default.
- W2893559467 cites W1993749868 @default.
- W2893559467 cites W2002871031 @default.
- W2893559467 cites W2006394420 @default.
- W2893559467 cites W2023749136 @default.
- W2893559467 cites W2028889910 @default.
- W2893559467 cites W2047742824 @default.
- W2893559467 cites W2054600183 @default.
- W2893559467 cites W2074078620 @default.
- W2893559467 cites W2103333868 @default.
- W2893559467 cites W2104852618 @default.
- W2893559467 cites W2170746407 @default.
- W2893559467 cites W2763373928 @default.
- W2893559467 cites W2964116325 @default.
- W2893559467 doi "https://doi.org/10.1016/j.tcs.2018.09.015" @default.
- W2893559467 hasPublicationYear "2019" @default.
- W2893559467 type Work @default.
- W2893559467 sameAs 2893559467 @default.
- W2893559467 citedByCount "11" @default.
- W2893559467 countsByYear W28935594672018 @default.
- W2893559467 countsByYear W28935594672019 @default.
- W2893559467 countsByYear W28935594672021 @default.
- W2893559467 countsByYear W28935594672022 @default.
- W2893559467 countsByYear W28935594672023 @default.
- W2893559467 crossrefType "journal-article" @default.
- W2893559467 hasAuthorship W2893559467A5061035744 @default.
- W2893559467 hasAuthorship W2893559467A5091758089 @default.
- W2893559467 hasBestOaLocation W28935594671 @default.
- W2893559467 hasConcept C114614502 @default.
- W2893559467 hasConcept C118615104 @default.
- W2893559467 hasConcept C121332964 @default.
- W2893559467 hasConcept C142417499 @default.
- W2893559467 hasConcept C162319229 @default.
- W2893559467 hasConcept C199360897 @default.
- W2893559467 hasConcept C21308566 @default.
- W2893559467 hasConcept C24890656 @default.
- W2893559467 hasConcept C33923547 @default.
- W2893559467 hasConcept C41008148 @default.
- W2893559467 hasConceptScore W2893559467C114614502 @default.
- W2893559467 hasConceptScore W2893559467C118615104 @default.
- W2893559467 hasConceptScore W2893559467C121332964 @default.
- W2893559467 hasConceptScore W2893559467C142417499 @default.
- W2893559467 hasConceptScore W2893559467C162319229 @default.
- W2893559467 hasConceptScore W2893559467C199360897 @default.
- W2893559467 hasConceptScore W2893559467C21308566 @default.
- W2893559467 hasConceptScore W2893559467C24890656 @default.
- W2893559467 hasConceptScore W2893559467C33923547 @default.
- W2893559467 hasConceptScore W2893559467C41008148 @default.
- W2893559467 hasLocation W28935594671 @default.
- W2893559467 hasOpenAccess W2893559467 @default.
- W2893559467 hasPrimaryLocation W28935594671 @default.
- W2893559467 hasRelatedWork W1978042415 @default.
- W2893559467 hasRelatedWork W2050793977 @default.
- W2893559467 hasRelatedWork W2133125863 @default.
- W2893559467 hasRelatedWork W2138740649 @default.
- W2893559467 hasRelatedWork W2247126403 @default.
- W2893559467 hasRelatedWork W2276850798 @default.
- W2893559467 hasRelatedWork W2962676956 @default.
- W2893559467 hasRelatedWork W3117483555 @default.
- W2893559467 hasRelatedWork W3196129591 @default.
- W2893559467 hasRelatedWork W4297916902 @default.
- W2893559467 hasVolume "766" @default.
- W2893559467 isParatext "false" @default.
- W2893559467 isRetracted "false" @default.
- W2893559467 magId "2893559467" @default.
- W2893559467 workType "article" @default.