W.Y.C. Chen, E. Deutsch and S. Elizalde,
Old and young leaves on plane trees,
European J. Combin. 27(3) (2006) 414-427.

Cited by


  1. W.Y.C. Chen, L.W. Shapiro and L.L.M. Yang, Parity reversing involutions on plane trees and 2-Motzkin paths, European J. Combin. 27 (2006) 283-289.

  2. W.Y.C. Chen, A.Y.Z. Wang and A.F.Y. Zhao, Identities derived from noncrossing partitions of type B, Electron. J. Combin. 18 (2011) Paper 129, 17 pp.

  3. W.Y.C. Chen, S.H.F. Yan and L.L.M. Yang, Weighted 2-Motzkin paths, arXiv:math/0410200.

  4. W.Y.C. Chen, S.H.F. Yan and L.L.M. Yang, Identities from weighted Motzkin paths, Adv. in Appl. Math. 41 (2008) 329-334.

  5. X. Chen and S. Fu, Two bijections on weakly increasing trees, Discrete Math. 345(4) (2022) 112760.

  6. N. Dershowitz and S. Zaks, More patterns in trees: up and down, young and old, odd and even, SIAM J. Discrete Math. 23 (2009) 447-465.

  7. B. Hackl, Asymptotic analysis of shape parameters of trees and lattice paths, Ph.D. Thesis, Alpen-Adria-Universität Klagenfurt, 2018.

  8. B. Hackl, C. Heuberger, S. Kropf and H. Prodinger, Fringe analysis of plane trees related to cutting and pruning, Aequationes Math. 92 (2018) 311-353.

  9. B. Hackl, S. Kropf and H. Prodinger, Iterative cutting and pruning of planar trees, 2017 Proceedings of the Fourteenth Workshop on Analytic Algorithmics and Combinatorics (ANALCO), 66-72, SIAM, Philadelphia, PA, 2017.

  10. Y. Li, Z. Lin and T. Zhao, Two involutions on binary trees and generalizations, arXiv:2309.06149.

  11. E. Marberg, Actions and identities on set partitions, Electron. J. Combin. 19 (2012) Paper 28, 31 pp.

  12. R. Pemantle and M.C. Wilson, Analytic Combinatorics in Several Variables, Cambridge Studies in Advanced Mathematics, 140, Cambridge University Press, 2013.