Linear extensions of finite posets

We give a broad survey of inequalities for the number of linear extensions of finite posets. We review many examples, discuss open problems, and present recent results on the subject. We emphasize the bounds, the equality conditions of the inequalities, and the computational complexity aspects of the results.

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Publication Details

Journal
EMS Surveys in Mathematical Sciences
Published
2025-03-17
DOI
https://doi.org/10.4171/emss/97
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
0.00
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article

Linear extensions of finite posets

Swee Hong Chan, Igor Pak
EMS Surveys in Mathematical Sciences
Advanced Algebra and Logic
article

Linear extensions of finite posets

Swee Hong Chan, Igor Pak
article en

Abstract

We give a broad survey of inequalities for the number of linear extensions of finite posets. We review many examples, discuss open problems, and present recent results on the subject. We emphasize the bounds, the equality conditions of the inequalities, and the computational complexity aspects of the results.

EMS Surveys in Mathematical Sciences
Rutgers, The State University of New Jersey (US), University of California, Los Angeles (US)
Openalex Percentile: Top 94%
Advanced Algebra and Logic
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