Bijections for 2-plane trees and ternary trees

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Bijections for 2-plane trees and ternary trees

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...

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ژورنال

عنوان ژورنال: European Journal of Combinatorics

سال: 2009

ISSN: 0195-6698

DOI: 10.1016/j.ejc.2008.06.006