W.Y.C. Chen, E.Y.P. Deng and R.R.X. Du,
Reduction of m-regular noncrossing partitions,
European J. Combin. 26(2) (2005) 237-243.

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  1. William Y.C. Chen, Neil J.Y. Fan and Alina F.Y. Zhao, Partitions and partial matchings avoiding neighbor patterns, European J. Combin. 33 (2012) 491-504.

  2. William Y.C. Chen, Q.-H. Guo, Lisa H. Sun and J. Wang, Zigzag stacks and m-regular linear stacks, J. Comput. Biol. 21 (2014) 915-935.

  3. William Y. C. Chen, T. Mansour and Sherry H.F. Yan, Matchings avoiding partial patterns, Electron. J. Combin. 13 (2006) Research Paper 112, 17 pp.

  4. William Y.C. Chen and Sabrina X.M. Pang, On the combinatorics of the Pfaff identity, Discrete Math. 309 (2009) 2190-2196.

  5. William Y.C. Chen, J. Qin and C.M. Reidys, Crossings and nestings in tangled diagrams, Electron. J. Combin. 15 (2008) Research Paper 86, 14 pp.

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

  7. William Y.C. Chen, Sherry H.F. Yan and Laura L.M. Yang, Weighted 2-Motzkin paths, arXiv:math/0410200.

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

  9. A. Conflitti and R. Mamede, Gray codes and lexicographical combinatorial generation for nonnesting and sparse nonnesting set partitions, Theor. Comput. Sci. 592 (2015) 87-96.

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

  11. A. Dzhumadil'daev and D. Yeliussizov, Walks, partitions, and normal ordering, Electron. J. Combin. 22 (2015) Paper 4.10, 23 pp.

  12. R. Ehrenborg, A. Happ, D. Hedmark and C. Hettle, Box polynomials and the excedance matrix, arXiv:1708.09804.

  13. Q.-H. Guo and Lisa H. Sun, Combinatorics of contacts in protein contact maps, Bull. Math. Biol. 80 (2018) 385-403.

  14. Q.-H. Guo, Lisa H. Sun and J. Wang, Enumeration of extended m-regular linear stacks, J. Comput. Biol. 23 (2016) 1-14.

  15. Q.-H. Guo, Lisa H. Sun and J. Wang, Regular simple queues of protein contact maps, Bull. Math. Biol. 79 (2017) 21-35

  16. L.L. Hofacker and P.F. Stadler, RNA secondary structures, Preprint.

  17. V. Jelínek, Nelson Y. Li, T. Mansour and Sherry H.F. Yan, Matchings avoiding partial patterns and lattice paths, Electron. J. Combin. 13 (2006) Research Paper 89, 12 pp.

  18. V. Jelínek and T. Mansour, On pattern-avoiding partitions, Electron J. Combin. 15 (2008) Research paper 39, 52 pp.

  19. V. Jelínek and T. Mansour, Matchings and partial patterns, Electron. J. Combin. 17 (2010) Research Paper 158, 30 pp.

  20. Emma Y. Jin, J. Qin and C.M. Reidys, On k-noncrossing partitions, arXiv:0710.5014.

  21. A. Kasraoui, d-Regular set partitions and rook placements, Sém. Lothar. Combin. 62 (2009/10) Art. B62a, 8 pp.

  22. A. Kasraoui, Études combinatoires sur les permutations et partitions d'ensemble, Ph.D. Thesis, Universit'e Claude Bernard-Lyon I, 2009.

  23. Z. Kereskényi-Balogh and G. Nyul, Stirling numbers of the second kind and Bell numbers for graphs, Australas. J. Combin. 58 (2014) 264-274.

  24. M. Klazar, Counting set systems by weight, Electron. J. Combin. 12 (2005) Research Paper 11, 8 pp.

  25. T. Mansour, Enumeration of gap-bounded set partitions, J. Autom. Lang. Comb. 14 (2009) 237-245.

  26. T. Mansour and N. Mbarieky, Partitions of a set satisfying certain set of conditions, Discrete Math. 309 (2009) 4481-4488.

  27. T. Mansour and M. Schork, Commutation Relations, Normal Ordering, and Stirling Numbers, Discrete Mathematics and its Applications, CRC Press, Boca Raton, FL, 2016.

  28. T. Mansour, M. Schork and S. Severini, Noncrossing normal ordering for functions of boson operators, Int. J. Theor. Phys. 47 (2008) 832-849.

  29. T. Mansour and S. Severini, Enumeration of (k, 2)-noncrossing partitions, Discrete Math. 308 (2008) 4570-4577.

  30. T. Mansour and Y.D. Sun, Identities involving Narayana polynomials and Catalan numbers, Discrete Math. 309 (2009) 4079-4088.

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

  32. E. Marberg, Heisenberg characters, unitriangular groups, and Fibonacci numbers, J. Combin. Theory Ser. A 119 (2012) 882-903.

  33. A.O. Munagi, Extended set partitions with successions, European J. Combin. 29 (2008) 1298-1308.

  34. A.O. Munagi, Two applications of the bijection on Fibonacci set partitions, Fibonacci Quart. 55 (2017) 144-148.

  35. W.W. Wang and M. Zhang, A combinatorial enumeration problem of RNA secondary structures, African Journal of Biotechnology 10(83) (2011) 19261-19266.