A correspondence between two Catalan sets (Q1094502)
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scientific article; zbMATH DE number 4025613
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A correspondence between two Catalan sets |
scientific article; zbMATH DE number 4025613 |
Statements
A correspondence between two Catalan sets (English)
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1987
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The author establishes a one-to-one correspondence between the set of all tridiagonal unimodular \(n\times n\)-matrices whose nonzero nondiagonal entries are all 1 and diagonal entries are positive integers and the set of all triangulations of a convex \((n+2)\)-gon by nonintersecting diagonals (the cardinality of each of the two sets is the nth Catalan number \(\left( \begin{matrix} 2n\\ n\end{matrix} \right)/(n+1))\).
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Catalan number
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triangulations
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symmetric positive definite unimodular tridiagonal matrices
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