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- W2007649086 abstract "Recently, Gu et al. [N.S.S. Gu, N.Y. Li, T. Mansour, 2-Binary trees: Bijections and related issues, Discrete Math. 308 (2008) 1209–1221] introduced 2-binary trees and 2-plane trees which are closely related to ternary trees. In this note, we study the 2-noncrossing tree, a noncrossing tree in which each vertex is colored black or white and there is no ascent (u,v) such that both the vertices u and v are colored black. By using the representation of Panholzer and Prodinger for noncrossing trees, we find a correspondence between the set of 2-noncrossing trees of n edges with a black root and the set of 5-ary trees with n internal vertices." @default.
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- W2007649086 date "2009-10-01" @default.
- W2007649086 modified "2023-09-24" @default.
- W2007649086 title "2-noncrossing trees and 5-ary trees" @default.
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- W2007649086 doi "https://doi.org/10.1016/j.disc.2009.03.044" @default.
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