A combinatorial approach to height sequences in finite partially ordered sets

DOI10.1016/j.disc.2010.12.020zbMath1225.06001OpenAlexW2121956168MaRDI QIDQ629196

Csaba Biró, William T. jun. Trotter

Publication date: 8 March 2011

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2010.12.020

zbMATH Keywords

log-concavitylinear extensioncorrelation inequalityheight sequence

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Combinatorial probability (60C05) Combinatorial inequalities (05A20)

Related Items (1)

The cross-product conjecture for width two posets

Cites Work

• Unnamed Item
• Two combinatorial applications of the Aleksandrov-Fenchel inequalities
• The XYZ conjecture and the FKG inequality
• Correlation inequalities on some partially ordered sets
• A combinatorial approach to correlation inequalities
• Balancing pairs and the cross product conjecture
• A correlational inequality for linear extensions of a poset
• A Monotonicity Property of Partial Orders
• The FKG Inequality and Some Monotonicity Properties of Partial Orders
• An inequality for the weights of two families of sets, their unions and intersections

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