Events correlated with respect to every subposet of a fixed poset
type: Item
instance of: scholarly article
title: Events correlated with respect to every subposet of a fixed poset
zbMATH Open document ID: 0707.06002
DOI: 10.1007/BF01787723
author: Graham Brightwell
published in: Graphs and Combinatorics
publication date: 1990-01-01T00:00:00Z
review text: Posets A, B of \(X\times X\) are said to be correlated to a third poset R on X if P(A/R)\(\leq P(A/R\cup B)\). Here P(C/R) is the probability that a randomly chosen linear extension on R is also a linear extension of C. The author classifies posets R on X such that for all subposets S of R and all distinct elements x, y, u, v of X, (x,y) is correlated to (u,v) of S. A discussion about a correlation inequality appears also in the paper.
Mathematics Subject Classification ID: 06A07
Mathematics Subject Classification ID: 60B99
zbMATH DE Number: 4160797
zbMATH Keywords: correlated posets
zbMATH Keywords: linear extension
zbMATH Keywords: correlation inequality
reviewed by: Mirela Ştefănescu
MaRDI profile type: Publication
cites work: Q3726125
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full work available at URL: https://doi.org/10.1007/bf01787723
OpenAlex ID: W2030572397
description: scientific article; zbMATH DE number 4160797