Another bijection between $2$-triangulations and pairs of non-crossing Dyck paths
A $k$-triangulation of the $n$-gon is a maximal set of diagonals of the $n$-gon containing no subset of $k+1$ mutually crossing diagonals. The number of $k$-triangulations of the $n$-gon, determined by Jakob Jonsson, is equal to a $k \times k$ Hankel determinant of Catalan numbers. This determinant...
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Format: | Article |
Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2009-01-01
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Series: | Discrete Mathematics & Theoretical Computer Science |
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Online Access: | https://dmtcs.episciences.org/2683/pdf |