Citations of

William Y.C. Chen, Yu P. Deng and Laura L.M. Yang, Motzkin paths and reduced decompositions for permutations with forbidden patterns, Elect. J. Combin. 9 (2) (2002-2003) #R15. 


  1. E. Barcucci, A. Bernini and M. Poneti, From Fibonacci to Catalan permutations, Pure Math. Appl. (PU.M.A.) 17(2006), No.1-2, 1-17.

  2. A. Bernini, Some properties of pattern avoiding permutations, Universita degli Studi di Firenze, 2006.

  3. A.M. Baxter, Refining enumeration schemes to count according to the inversion number, Pure Math. Appl. (PU.M.A.) 21(2010), No.2, 137-160.

  4. A.M. Baxter, Algorithms for permutation statistics, Rutgers, State University of New Jersey, 2011.

  5. P. Chen, Z. Mei and S. Wang, Inversion Formulae on Permutations Avoiding 321, Electron. J. Combin. 22(2015) #P4.28.

  6. W.Y.C. Chen, E.Y.P. Deng and L.L.M. Yang, Riordan paths and derangements, Discrete Math. 308(2008) 2222-2227.

  7. S.E. Cheng, S. Elizalde, A. Kasraoui and B.E. Sagan, Inversion polynomials for 321-avoiding permutations, Discrete Math. 313(2013) 2552-2565.

  8. L.H. Deng, Y.P. Deng and L.W. Shaprio, The Riordan group and symmetric lattice paths, J. Shandong Norm. Univ. (Nat. Sci.). 50(2015) 82-89

  9. A.A. Ibrahim, A counting scheme and some algebraic properties of a class of special permutation patterns, J. Discrete Math. Sci. Cryptogr. 10(2007) 537-546.

  10. S. Kitaev, Patterns in permutations and words£¬Springer£¬2011.

  11. L. Lv and S.X.M. Pang, Reduced Decompositions of Matchings, Electron. J. Combin. 18(2011) #P107.

  12. T. Mansour, E.Y.P. Deng and R.R.X. Du, Dyck paths and restricted permutations, Discrete Appl. Math. 154(2006) 1593-1605.

  13. A. Mustafa and A.A. Ibrahim, Implementation of Aunu permutation patterns using computer algebra system: A computational approach, Physical Sciences Research International, 1(2013) 54-61.

  14. Y. Sun, Several Research Proplems In Enumerative Combinatorics, Dalian University of Technology, 2006.

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