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The \(1/3-2/3\) Conjecture for Coxeter groups

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Publication:2680921
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MaRDI QIDQ2680921

Yibo Gao, Christian Gaetz

Publication date: 5 January 2023

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.09719

zbMATH Keywords

Weyl groupCoxeter groupsemiorderlinear extensionorder polytopefully commutativebalance constant


Mathematics Subject Classification ID

Partial orders, general (06A06) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Combinatorial aspects of groups and algebras (05E16)


Related Items

Balance constants for Coxeter groups, The \(1/3-2/3\) Conjecture for Coxeter groups



Cites Work

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  • Two poset polytopes
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  • Buildings of spherical type and finite BN-pairs
  • Balanced pairs in partial orders
  • On the fully commutative elements of Coxeter groups
  • Semiorders and the 1/3-2/3 conjecture
  • Counting linear extensions of restricted posets
  • Balancing poset extensions
  • A decomposition theorem for partially ordered sets
  • The \(1/3-2/3\) Conjecture for Coxeter groups
  • Combinatorics of Coxeter Groups
  • The Information-Theoretic Bound is Good for Merging
  • Introduction to Lie Algebras and Representation Theory
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