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dc.contributor.authorPritchard, Paul
dc.date.accessioned2019-05-10T04:40:52Z
dc.date.available2019-05-10T04:40:52Z
dc.date.issued1995
dc.identifier.issn00200190
dc.identifier.doi10.1016/0020-0190(95)00165-4
dc.identifier.urihttp://hdl.handle.net/10072/120231
dc.description.abstractA given collection of sets has a natural partial order induced by the subset relation. Let the size N of the collection be defined as the sum of the cardinalities of the sets that comprise it. Algorithms have recently been presented that compute the partial order (and thereby the minimal and maximal sets, i.e., extremal sets) in worst-case time O(N2log N). This paper develops a simple algorithm that uses only simple data structures, and gives a simple analysis that establishes the above worst-case bound on its running time. The algorithm exploits a variation on lexicographic order that may be of independent interest.
dc.description.peerreviewedYes
dc.languageEnglish
dc.publisherNorth-Holland
dc.publisher.placeNetherlands
dc.relation.ispartofpagefrom337
dc.relation.ispartofpageto341
dc.relation.ispartofissue6
dc.relation.ispartofjournalInformation Processing Letters
dc.relation.ispartofvolume56
dc.subject.fieldofresearchEnvironmental Sciences
dc.subject.fieldofresearchMathematical Sciences
dc.subject.fieldofresearchInformation and Computing Sciences
dc.subject.fieldofresearchEngineering
dc.subject.fieldofresearchcode05
dc.subject.fieldofresearchcode01
dc.subject.fieldofresearchcode08
dc.subject.fieldofresearchcode09
dc.titleA Simple Sub-quadratic Algorithm for Computing the Subset Partial Order
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.facultyGriffith Sciences, School of Information and Communication Technology
gro.hasfulltextNo Full Text
gro.griffith.authorPritchard, Paul A.


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