Publications

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  1. (with Sabrina X. M. Pang) On the Combinatorics of the Pfaff Identity, Discrete Math., to appear.

  2. (with Jiuqiang Liu) Set Systems with L-intersections modulo a Prime Number, J. Combin. Theory, Ser. A, to appear.

  3. (with Deheng Xu) Labeled Partitions and the q-Derangement Numbers, SIAM J. Discrete Math., to appear. arXiv: math.CO/0606481.

  4. (with Carol J. Wang and Larry X.W. Wang) The Limiting Distribution of the Coefficients of the q-Catalan Numbers, Proc. Amer. Math. Soc., to appear, arXiv: math.CO/0708.2574.

  5. (with Peter Paule and Husam L. Saad) Converging to Gosper's Algorithm, Adv. Appl. Math., to appear, arXiv:0711.3386v1.

  6. (with Laura L.M. Yang) On Postnikov's Hook Length Formula for Binary Trees, European J. Combin., to appear, arXiv: math.CO/0504260.

  7. (with Andreas W.M. Dress and Winking Q. Yu) Community Structures of Networks, Math. Comput. Sci., to appear.

  8. (with Ira M. Gessel, Catherine H. Yan and Arthur L.B. Yang) A Major Index for Matchings and Set Partitions, J. Combin. Theory, Ser. A, to appear. arXiv: math.CO/0701096.

  9. (with Eva Y. P. Deng and Laura L. M. Yang) Riordan Paths and Derangements, Discrete Math., to appear; arXiv: math.CO/0602298.

  10. (with Qing-Hu Hou and Yan-Ping Mu) Nonterminating Basic Hypergeometric Series and the q-Zeilberger Algorithm, Proc. Edinburgh Math. Soc., to appear; arXiv: math.CO/0509281.

  11. (with Susan Y. J. Wu and Catherine H. Yan) Linked Partitions and Linked Cycles, European J. Combin., to appear; arXiv: math.CO/0607719.

  12. (with Sherry H.F. Yan and Laura L.M. Yang) Identities from weighted Motzkin paths, Adv. Appl. Math., to appear.

  13. (with Vincent Y. B. Chen and Nancy S. S. Gu) The Abel lemma and the q-Gosper algorithm, Math. Comp. 77 (2008), 1057-1074. arXiv: math.CO/0607359.

  14. (with Arthur L. B. Yang) Stanley's zrank problem on skew partitions, Trans. Amer. Math. Soc. 360 (2008) 3121–3131, arXiv: math.CO/0509181.

  15. (with Andreas W. M. Dress and Winking Q. Yu) Checking the Reliability of a Linear-Programming Based Approach Towards Detecting Community Structures in Networks, Systems Biol., 5 (2007) 286–291.

  16. (with Jessica C.Y. Zhang) The Skew and Relative Derangements of Type B, Electron. J. Combin., 14 (2007) #N24, arXiv: math.CO/0708.3623.

  17. (with Nelson Y. Li and Louis W. Shapiro) The Butterfly Decomposition of Plane Trees, Discrete Appl. Math., 155 (17) (2007) 2187–2201, arXiv: math.CO/0511045.

  18. (with Husam L. Saad and Lisa H. Sun) The Bivariate Rogers-Szegö Polynomials, J. Phys. A: Math. Theor., 40 (2007) 6071–6084, arXiv: math.CO/0612430.

  19. (with Kathy Q. Ji) Weighted forms of Euler's theorem, J. Combin. Theory, Ser. A, 114 (2007) 360–372. arXiv: math.CO/0510121.

  20. (with Nelson Y. Li, Louis W. Shapiro and Sherry H. F. Yan) Matrix identities on weighted partial Motzkin paths, European J. Combin. 28 (4) (2007) 1196–1207. arXiv: math.CO/0509255.

  21. (with Eva Y.P. Deng, Rosena R.X. Du, Richard P. Stanley and Catherine H. Yan) Crossings and nestings of matchings and partitions, Trans. Amer. Math. Soc. 359 (4) (2007) 1555–1575. arXiv: math.CO/0501230.

  22. (with Kathy Q. Ji and Herbert S. Wilf) BG-Ranks and 2-cores, Electron. J. Combin., 13 (2006) #N18. arXiv: math.CO/0605474.

  23. (with Qing-Hu Hou and Yan-Ping Mu) A telescoping method for double summations, J. Comput. Appl. Math. 196 (2) (2006) 553–566, arXiv: math.CO/0504525.

  24. (with Toufik Mansour and Sherry H. F. Yan) Matchings Avoiding Partial Patterns, Electron. J. Combin. 13 (2006), #R112, arXiv: math.CO/0504342.

  25. (with Qing-Hu Hou) Factors of the Gaussian coefficients, Discrete Math. 306 (13) (2006) 1446–1449.

  26. (with Wenchang Chu and Nancy S.S. Gu) Finite form of the quintuple product identity, J. Combin. Theory Ser. A 113 (2006) 185–187, arXiv: math.CO/0504277.

  27. (with Laura L.M. Yang and L.W. Shapiro) Parity reversing involutions on plane trees and 2-Motzkin Paths, European J. Combin. 27 (2) (2006) 283–289. arXiv: math.CO/0503300.

  28. (with Amy M. Fu) Semi-finite forms of bilateral basic hypergeometric series, Proc. Amer. Math. Soc. 134 (2006) 1719–1725.

  29. (with Emeric Deutsch and Sergi Elizalde) Old and young leaves on plane trees, Europ. J. Combinatorics, 27 (2006) No. 3 414–427.

  30. (with Sherry H. F. Yan) Noncrossing trees and noncrossing graphs, Electron. J. Combin. 12 (2005) #R00, arXiv: math.CO/0509715.

  31. (with James J.Y. Zhao) The Gaussian coefficients and overpartitions, Discrete Math. 305 (2005) No. 1-3 350–353.

  32. (with Arthur L. B. Yang) Stable equivalences of Giambelli type matrices of Schur functions, Electron. J. Combin. 11 (2) (2005) #R23. arXiv: math.CO/0508008.

  33. (with Qing-Hu Hou and Yan-Ping Mu) Applicability of the q-analogue of Zeilberger's algorithm, J. Symbolic Comput. 39 (2005), No. 2 155–170. arXiv: math.CO/0410222.

  34. (with Guo-Guang Yan and Arthur L.B. Yang) Transformations of border strips and Schur function determinants, J. Algebraic Combin. 21 (2005) No. 4 379–394. arXiv: math.CO/0406250.

  35. (with Eva Y.P. Deng and Rosena R.X. Du) Reduction of m-regular noncrossing partitions, Europ. J. Combin. 26 (2005) No. 2 237–243. arXiv: math.CO/0406180.

  36. (with Husam L. Saad) On the Gosper-Petkovsek representation of rational functions, J. Symbolic Computation 40 (2005) No. 2 955–963.

  37. (with Xueliang Li and Michelle J. Zheng) Matrix method for linear sequential dynamical systems on digraphs, Applied Mathematics and Computation 160 (2005) No. 1 197–212.
  38. (with Christian Krattenthaler and Arthur L.B. Yang) The flagged Cauchy determinant, Graphs and Combinatorics 21 (2005) 51–62.

  39. (with David C. Torney) Equivalence classes of matchings and lattice-square designs, Discrete Applied Math., 145 (2005), 349–357.

  40. (with Guo-Guang Yan and Arthur L.B. Yang ) The skew Schubert polynomials, Europ. J. Combinatorics., 25 (2004), No. 8, 1181–1196.

  41. (with Arthur L.B. Yang) Stable Equivalence over Symmetric Functions, Electron. J. Combin. 11 (2) (2004) #R23.

  42. (with Xueliang Li, Chao Wang and Xiaoyan Zhang) Linear time algorithms to the minimum all-ones problem for unicyclic and bicyclic graphs, Electronic Notes in Discrete Math., 17 (2004), 93–98.

  43. (with Chris L. Barrett and Michelle J. Zheng) Discrete dynamical systems on graphs and Boolean functions, Math. Comput. Simulation, 66 (2004), No. 6, 487–497.

  44. (with Xueliang Li, Chao Wang and Xiaoyan Zhang) The minimum all-ones problem for trees, SIAM J. Computing, 33 (2004), No. 2, 379–392.

  45. (with Amy M. Fu) Cauchy augmentation for basic hypergeometric series, Bull. London Math. Soc., 36 no. 2 (2004), 169–175.


  46. (with Amy M. Fu and Baoyin Zhang) The homogeneous q-difference operator, Adv. Appl. Math., 31 (2003) 659–668.

  47. (with Yu P. Deng and Laura L.M. Yang) Motzkin paths and reduced decompositions for permutations with forbidden patterns, Elect. J. Combin., Aug 3, 2003.


  48. (with Qing-Hu Hou and Alain Lascoux) An involution for the Gauss identity, The Journal of Combinatorial Theory, Series A, 102 (2003), 309–320.

  49. (with Bingqing Li and J.D. Louck) The flagged double Schur function, J. Algebraic Combin., 15 (2002), 7–26.

  50. (with J.W. Guo) Bijections behind the Ramanujan polynomials, Adv. Appl. Math., 27 (2001), 336–356, arXiv: math.CO/0107024.

  51. (with J. Wang) Decomposition of necklaces, Ann. Combin., 5 (2001), 271–283.

  52. (with H. Galbraith and J.D. Louck) Angular momentum theory, umbral calculus, and combinatorics, Computer Math. Appl., 41 (2001), 1199–1214.

  53. (with J.D. Louck and J. Wang) Adjacency and parity relations of words in discrete dynamical systems, J. Combinatorial Theory, Series A, 91 (2000), 476–508.

  54. A general bijective algorithm for increasing tress, Systems Science and Math. Sciences, special issue in honor of W.T. Wu, 12 (1999), 193–203.

  55. (with J.D. Louck) Enumeration of cubic graphs by inclusion-exclusion, J. Combin. Theory, Ser. A, 86 (1999), 151–157.

  56. The pessimistic search and the straightening involution for trees, Europ. J. Combinatorics, 19 (1998), 553–558.

  57. (with J.D. Louck and H. Galbraith) Combinatorics of 3n-j coefficients, Phys. Atomic Nuclei, 61 (1998), No. 11, 1868–1873.

  58. (with J.D. Louck) The combinatorics of a class of representation functions, Adv. in Math., 140 (1998), 207–236.

  59. (with Z.G. Liu) Parameter augmentation for basic hypergeometric series I, Mathematical Essays in Honor of Gian-Carlo Rota, Eds., B.E. Sagan and R.P. Stanley, Birkhäuser, Boston, (1998), 111–129.

  60. (with Z.G. Liu) Parameter augmentation for basic hypergeometric series II, J. Combin. Series A, 80 (2) (1997), 175–195.

  61. (With J.D. Louck) Necklaces, MSS sequences and DNA sequences, Advances in Applied Math., 18 (1997), 18–32.

  62. (with J.D. Louck) The combinatorial power of the companion matrix, Linear Algebra and Its Applications, 232 (1996) 261–278.

  63. The skew, relative and classical derangements, Discrete Math., 160 (1996), 235–239.

  64. (With J.D. Louck) Interpolation for symmetric functions, Advances in Mathematics, 117 (1996), 147–156.

  65. (with Joseph Oliveira) Implication algebras and the Metropolis-Rota axioms for cubic lattices, J. Algebra, 171 (1995) 383–396.

  66. (with J.P.S. Kung) The combinatorics of symmetric functions, Gian-Carlo Rota on Combinatorics, 458–467, Contemp. Mathematicians, Birkhäuser, Boston, 1995.

  67. (with K.W. Lih and Y.N. Yeh) Cyclic tableaux and symmetric functions, Studies in Applied Math., 94 (1995), 327–339.

  68. (with J.D. Louck, L.C. Biedenharn, M.A. Lohe) The role of SU(2) 3n-j coefficients in SU(3), Symmetry and Structural Properties of Condensed Matter, World Sci. Publishing, River Edge, NJ, (1995), 150–182.

  69. (with V. Faber, E. Knill) Restricted routing and wide diameter of the cycle prefix, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Vol. 21, American Math. Soc. (1995) 31–46.

  70. A bijection for enriched trees, European J. Combinatorics 15 (1994) 337–343.

  71. The theory of compositionals, Discrete Math. 122 (1993) 59–87.

  72. The compositional calculus, J. Combinatorial Theory, Ser. A 64 (1993) 149–188.

  73. Induced cycle structures of the hyperoctahedral group, SIAM J. Discrete Math. 6 (1993) 353–362.

  74. A coding algorithm for Rényi trees, J. Combinatorial Theory, Ser. A, 63 (1993) 11–25.

  75. (with Vance Faber and Jim Moore) The cycle prefix digraphs for symmetric interconnection networks, Networks, 23 (1993) 641–649.

  76. (with J.D. Louck) The factorial Schur function, J. Math. Phys., 34 (1993), No. 9, 4144–4160.

  77. Context-free grammars, differential operator and formal power series, Theoretical Computer Science, 117 (1993) 113–129.

  78. (with R. Stanley) Derangements on the n-cube, Discrete Math., 115 (1993) 65–75.

  79. (with Gian-Carlo Rota) q-Analogs of the principle of inclusion--exclusion and permutations of restricted position, Discrete Math., 104 (1992) 7–22.

  80. Integral matrices with given row and column sums, J. Combinatorial Theory, Ser. A, 61 (1992) 153–172.

  81. Maximum (g, f)-factors of a general graph, Discrete Math., 91 (1991) 1–7.

  82. A general bijective algorithm for trees, Proc. Natl. Acad. Sci. USA., 87 (1990) 9635–9639.

  83. (with A. Shastri) On joint realization of (0, 1)-matrices, Linear Algebra and Its Applications, 112 (1989) 75–85.

  84. A short proof of Kundu's k-factor theorem, Discrete Math., 71 (1988) 177–179.

  85. A counterexample to a conjecture of Brualdi and Anstee, J. of Math. Research and Exposition, 6(1986), pp.68.