Titlebook: An Introduction to Catalan Numbers; Steven Roman Textbook 2015 The Author 2015 Algebraic Widgits.Catalan numbers.Combinatorics.Dyck Words.

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Textbook 2015 an introduction to Catalan numbers of a different nature from the previous ones. He has made an excellent choice of topics in order to convey the flavor of Catalan combinatorics.?[Readers] will acquire a good feeling for why so many mathematicians are enthralled by the remarkable ubiquity and elega

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Catalan Numbers and Interval Structures,t([.]) of intervals on [.]. If . is such an antichain, then no two intervals in . can share a common left endpoint or a common right endpoint. Moreover, if we order the intervals so that the left endpoints are strictly increasing, then the right endpoints must also be strictly increasing. In fact, a

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https://doi.org/10.1007/978-3-663-16371-8t([.]) of intervals on [.]. If . is such an antichain, then no two intervals in . can share a common left endpoint or a common right endpoint. Moreover, if we order the intervals so that the left endpoints are strictly increasing, then the right endpoints must also be strictly increasing. In fact, a

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https://doi.org/10.1007/978-3-319-22144-1Algebraic Widgits; Catalan numbers; Combinatorics; Dyck Words; Geometric Widgits; Interval Structures; Per