Bijections for 2-plane trees and ternary trees
نویسندگان
چکیده
According to the Fibonacci number which is studied by Prodinger et al., we introduce the 2-plane tree which is a planted plane tree with each of its vertices colored with one of two colors and qqppppppppppppppppp -free. The similarity of the enumeration between 2-plane trees and ternary trees leads us to build several bijections. Especially, we found a bijection between the set of 2-plane trees of n+1 vertices with black root and the set of ternary trees with n internal vertices. We also give a combinatorial proof for a relation between the set of 2-plane trees of n+ 1 vertices and the set of ternary trees with n internal vertices.
منابع مشابه
Bijections for ternary trees and non-crossing trees
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عنوان ژورنال:
- Eur. J. Comb.
دوره 30 شماره
صفحات -
تاریخ انتشار 2009