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http://dx.doi.org/10.4134/BKMS.2014.51.1.229

HYBRID d-ARY TREES AND THEIR GENERALIZATION  

Hong, SeoungJi (Department of Mathematics Yonsei University)
Park, SeungKyung (Department of Mathematics Yonsei University)
Publication Information
Bulletin of the Korean Mathematical Society / v.51, no.1, 2014 , pp. 229-235 More about this Journal
Abstract
We enumerate black and white colored d-ary trees with no leftmost ${\square}$-edges, which is a generalization of hybrid binary trees. Then the multi-colored hybrid d-ary trees with the same condition is studied.
Keywords
enumeration; generating function; hybrid tree;
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1 N. Gu, N. Li, and T. Mansour, 2-Binary trees: Bijections and related issues, Discrete Math. 308 (2008), no. 7, 1209-1221.   DOI   ScienceOn
2 N. Gu and H. Prodinger, Bijections for 2-plane trees and ternary trees, European J. Combin. 30 (2009), no. 4, 969-985.   DOI   ScienceOn
3 J. Pallo, On the listing and random generation of hybrid binary trees, Int. J. Computer Math. 50 (1994), 135-145.   DOI   ScienceOn
4 A. Panholzer and H. Prodinger, Bijections between certain families of labelled and unlabelled d-ary trees, Appl. Anal. Discrete Math. 3 (2009), no. 1, 123-136.   DOI   ScienceOn
5 R. P. Stanley, Enumerative Combinatorics. Vol. 2, Cambridge University Press, Cambridge, 1999.
6 S. Yan and X. Liu, 2-noncrossing trees and 5-ary trees, Discrete Math. 309 (2009), no.20, 6135-6138.   DOI   ScienceOn