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Discrete Mathematics
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Discrete Mathematics
Article . 1981
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Discrete Mathematics
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Producing posets

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1981 English Publisher:Elsevier BVJournal:Discrete Mathematics, volume 35, pages 1-15 (issn: 0012-365X, Copyright policy )
Authors: Martin Aigner;

doi: 10.1016/0012-365x(81)90197-7

Producing posets

Abstract

AbstractMany of the well-known selection and sorting problems can be understood as the production of certain partial orders, using binary comparisons. The paper discusses the complexity of the production of arbitrary posets all of a given size n (on a totally ordered ground-set). Further investigation is undertaken on an important class of posets, called partitions, which includes all selection problems treated in the literature.

Related Organizations
Keywords

Partial orders, general, selection, Discrete Mathematics and Combinatorics, Searching and sorting, sorting, Theoretical Computer Science

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
16
Average
Top 10%
Average
hybrid