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Discrete Applied Mathematics
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Discrete Applied Mathematics
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Discrete Applied Mathematics
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Correlation in partially ordered sets

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1992 English Publisher:Elsevier BVJournal:Discrete Applied Mathematics, volume 39, pages 173-191 (issn: 0166-218X, Copyright policy )
Authors: Peter C. Fishburn;

doi: 10.1016/0166-218x(92)90169-b

Correlation in partially ordered sets

Abstract

Basic results concerning correlation within ordered sets that focus on distributive lattices, systems of subsets ordered by proper inclusion and the family of linear extensions of an arbitrary finite ordered set are reviewed in this paper. Let us quote some interesting results: the Ahlswede-Daykin theorem, the FKG theorem, the universal correlation theorems of Winkler and Brightwell. Some theorems are proved carefully and the author mentions some open problems.

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Keywords

Partial orders, general, systems of subsets ordered by proper inclusion, FKG inequality, correlation, linear extensions, Applied Mathematics, Discrete Mathematics and Combinatorics, Partial orders, distributive lattices

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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!
13
Average
Average
Average
hybrid