Citations of

William Y.C. Chen, Laura L.M. Yang and L.W. Shapiro, Parity reversing involutions on plane trees and 2-Motzkin Paths, European J. Combin. 27 (2) (2006) 283®C289. arXiv: math.CO/0503300.


  1. 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) #P129.

  2. T. Došlic and D. Veljan, Secondary structures, plane trees and Motzkin numbers, Math. Commun. 12(2007) 163-169.

  3. S.P. Eua, T.S. Fuc, Y.J. Pand and C.T. Ting, Sign-balance identities of Adin–Roichman type on 321-avoiding alternating permutations£¨ Descrete Math.312(2012) 2228-2237.

  4. N.S.S. Gu, A Parity Reversing Involution on Plane Trees.

  5. L. Guo, Operated semigroups, Motzkin paths and rooted trees, J. Algebraic Comb. 29(2009) 35-62.

  6. N.Y. Li and T. Mansour, An identity involving Narayana numbers, European J. Combin. 29(2008) 672-675.

  7. S.X.M. Pang and L. Lv, A Combinatorial Proof for Identities on an Odd Number and an Even Number of Right Leaves in p-ary Trees, Information Technology Journal 13(2014).

  8. S.G. Wagner, Almost all trees have an even number of independent sets, Electron. J. Combin. 16(2009) #R93.

  9. S.G. Wagner and H. Wang, On the parity of the Wiener index, European J. Combin. 30(2009) 996-1004.

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