Order Preserving Maps and Linear Extensions of a Finite Poset
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Publication:3691787
DOI10.1137/0606072zbMath0573.06004OpenAlexW2054008041MaRDI QIDQ3691787
Publication date: 1985
Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0606072
Partial orders, general (06A06) Enumerative combinatorics (05A99) Probability theory on algebraic and topological structures (60B99)
Related Items (6)
Linear extensions of infinite posets ⋮ A structure theorem for posets admitting a ``strong chain partition: a generalization of a conjecture of Daykin and Daykin (with connections to probability correlation inequalities) ⋮ Partitions of a finite three-complete poset ⋮ Events correlated with respect to every subposet of a fixed poset ⋮ Imbedding posets in the integers ⋮ Universal correlations in finite posets
Cites Work
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- On log concavity for order-preserving maps of partial orders
- On the intricacy of combinatorial construction problems
- The XYZ conjecture and the FKG inequality
- A Hierarchy of Inequalities
- A Monotonicity Property of Partial Orders
- Some Monotonicity Properties 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
- Correlation Among Partial Orders
- A Dual of Dilworth's Decomposition Theorem
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