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- W2021956641 abstract "Abstract We define the notion of a Catalan pair, which is a pair of (strict) order relations ( S , R ) satisfying certain axioms. We show that Catalan pairs of size n are counted by Catalan numbers. We study some combinatorial properties of the relations R and S. In particular, we show that the second component R uniquely determines the pair, and we give a characterization of the poset R in terms of forbidden configurations. We also propose some generalizations of Catalan pairs arising from the modification of one of the axioms." @default.
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- W2021956641 date "2009-08-01" @default.
- W2021956641 modified "2023-09-25" @default.
- W2021956641 title "Combinatorial properties of Catalan pairs" @default.
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- W2021956641 doi "https://doi.org/10.1016/j.endm.2009.07.071" @default.
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