2024
  1. (with Amy M. Fu)
    A grammar of Dumont and a theorem of Diaconis-Evans-Graham,
    Adv. in Appl. Math. to appear.
    PDF

  2. Breaking cycles, the odd versus the even,
    Enumer. Comb. Appl. 4(3) (2024) Article #S2R17.
    PDF


  3. 2023
  4. (with Amy M. Fu)
    A grammatical calculus for peaks and runs of permutations,
    J. Algebraic Combin. 57(4) (2023) 1139–1162.
    PDF

  5. (with Amy M. Fu and Sherry H.F. Yan)
    The Gessel correspondence and the partial $\gamma$-positivity of the Eulerian polynomials on multiset Stirling permutations,
    European J. Combin. 109 (2023) Paper No. 103655.
    PDF

  6. (with Amy M. Fu)
    The Dumont ansatz for the Eulerian polynomials, peak polynomials and derivative polynomials,
    Ann. Combin. 27(3) (2023) 707-735.
    PDF


  7. 2022
  8. Cubic equations through the looking glass of Sylvester,
    College Math. J. 53(5) (2022) 396-398.
    PDF

  9. (with Amy M. Fu)
    A Context-free grammar for the e-positivity of the trivariate second-order Eulerian polynomials,
    Discrete Math. 345(1) (2022) 112661.
    PDF

  10. (with Ivy D.D. Jia)
    Semi-invariants of binary forms and Sylvester's theorem,
    Ramanujan J. 59(1) (2022) 297-311.
    PDF


  11. 2021
  12. (with Ivy D.D. Jia)
    Semi-invariants of binary forms pertaining to a unimodality theorem of Reiner and Stanton,
    Internat. J. Math. 32(12) (2021) 2140003.
    PDF

  13. (with R.X.J. Hao and H.R.L. Yang)
    Context-free grammars and stable multivariate polynomials over Stirling permutations,
    In: V. Pillwein and C. Schneider (eds.),
    Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra, pp. 109-135,
    Springer, 2021.
    PDF

  14. (with H.R.L. Yang)
    A context-free grammar for the Ramanujan-Shor polynomials,
    Adv. in Appl. Math., 126 (2021) 101908.
    PDF


  15. 2019
  16. (with J.Q.D. Du and J.C.D. Zhao)
    Finding modular functions for Ramanujan-type identities,
    Ann. Comb. 23(3-4) (2019) 613-657.
    PDF

  17. (with D.X.Q. Jia and L.X.W. Wang)
    Higher order Turán inequalities for the partition function,
    Trans. Amer. Math. Soc. 372 (2019) 2143-2165.
    PDF


  18. 2018
  19. (with L.H. Sun)
    Stanley's lemma and multiple theta functions,
    SIAM J. Discrete Math. 32 (2018) 474-504.
    PDF


  20. 2017
  21. (with K.Y. Zheng)
    The log-behavior of $\sqrt[n]{p(n)}$ and $\sqrt[n]{p(n)/n}$,
    Ramanujan J. 44 (2017) 281-299.
    PDF

  22. The spt-function of Andrews,
    In: A. Claesson, M. Dukes, S. Kitaev, D. Manlove and K. Meeks (eds.),
    Surveys in Combinatorics 2017, 141-203,
    Cambridge Univ. Press, Cambridge, 2017.
    PDF

    Update: Applying the theory of modular forms, Wang and Yang have proved Conjectures 4.47 and 4.48. They established two families of congruences modulo powers of 5 for the Fourier coefficients of $(2E_2(2\tau)-E_2(\tau))\eta(2\tau)^{-1}$, where $E_2(\tau)$ is the weight 2 Eisenstein series and $\eta(\tau)$ is the Dedekind eta function. As consequences, they also obtained congruences modulo arbitrary powers of 5 for the $\mathrm{spt}$-type function $\mathrm{spt}_{C5}(n)$ introduced by Garvan and Jennings-Shaffer. more »
  23. (with K.Q. Ji and W.J.T. Zang)
    Nearly equal distributions of the rank and the crank of partitions,
    In: G.E. Andrews and F. Garvan (eds.),
    Analytic Number Theory, Modular Forms and q-Hypergeometric Series, 157-177,
    Springer Proc. Math. Stat., 221, Springer, 2017.
    PDF

  24. (with A.M. Fu)
    Context-free grammars for permutations and increasing trees,
    Adv. in Appl. Math. 82 (2017) 58-82.
    PDF


  25. 2016
  26. (with A.J.X. Guo, P.L. Guo, H.H.Y. Huang and T.Y.H. Liu)
    s-Inversion sequences and P-partitions of type B,
    SIAM J. Discrete Math. 30 (2016) 1632-1643.

  27. (with Q.-H. Hou and D. Zeilberger)
    Automated discovery and proof of congruence theorems for partial sums of combinatorial sequences,
    J. Difference Equ. Appl. 22(6) (2016) 780-788.

  28. (with J.N. Chen)
    On permutations with bounded drop size,
    European J. Combin. 54 (2016) 138-153.
    PDF

  29. (with Q.-H. Hou, L.H. Sun and L. Zhang)
    Ramanujan-type congruences for overpartitions modulo 16,
    Ramanujan J. 40(2) (2016) 311-322.
    PDF

  30. (with H.H.Y. Huang and L.X.W. Wang)
    Average size of a self-conjugate (s, t)-core partition,
    Proc. Amer. Math. Soc. 144(4) (2016) 1391-1399.
    PDF

  31. (with K.Q. Ji and W.J.T. Zang)
    The spt-crank for ordinary partitions,
    J. Reine Angew. Math. 711 (2016) 231-249.
    PDF

  32. (with L.X.W. Wang and G.Y.B. Xie)
    Finite differences of the logarithm of the partition function,
    Math. Comp. 85(298) (2016) 825-847.
    PDF


  33. 2015
  34. (with P.L. Guo and S.X.M. Pang)
    Vacillating Hecke tableaux and linked partitions,
    Math. Z. 281(3-4) (2015) 661-672.
    PDF

  35. (with J.J.F. Guo and L.X.W. Wang)
    Zeta functions and the log behavior of combinatorial sequences,
    Proc. Edinb. Math. Soc. (2) 58(3) (2015) 637-651.

  36. (with D.D.M. Sang and D.Y.H. Shi)
    An overpartition analogue of Bressoud's theorem of Rogers-Ramanujan-Gordon type,
    Ramanujan J. 36(1-2) (2015) 69-80.
    PDF

  37. (with K.Q. Ji and W.J.T. Zang)
    Proof of the Andrews-Dyson-Rhoades conjecture on the spt-crank,
    Adv. Math. 270 (2015) 60-96.
    PDF

  38. (with L.H. Sun, R.-H. Wang and L. Zhang)
    Ramanujan-type congruences for overpartitions modulo 5,
    J. Number Theory 148 (2015) 62-72.


  39. 2014
  40. (with A. Dress and W.Q. Yu)
    Detecting community structures in networks using a linear-programming based approach: a review,
    In: W. Pedrycz and S.-M. Chen (eds.) Social Networks: A Framework of Computational Intelligence, Studies in Computational Intelligence Vol. 526, pp. 1-20. Springer, Cham, 2014.

  41. (with Q.-H. Guo, L.H. Sun and J. Wang)
    Zigzag stacks and m-regular linear stacks,
    J. Comput. Biol. 21(12) (2014) 915-935.
    PDF

  42. (with P.L. Guo)
    Equivalence classes of full-dimensional 0/1-polytopes with many vertices,
    Discrete Comput. Geom. 52(2) (2014) 630-662.

  43. (with D.K. Du, Q.-H. Hou and L.H.Sun)
    Congruences of multipartition functions modulo powers of primes,
    Ramanujan J. 35 (2014) 1-19.
    PDF

  44. (with N.J.Y. Fan, A.J.X. Guo, P.L. Guo, H.H.Y. Huang and M.X.X. Zhong)
    Combinatorial proof of the inversion formula on the Kazhdan-Lusztig R-polynomials,
    Math. Z. 277 (3-4) (2014) 1017-1025.
    PDF

  45. (with A.R.B. Fan and R.T. Yu)
    Ramanujan-type congruences for broken 2-diamond partitions modulo 3,
    Sci. China Math. 57(8) (2014) 1553-1560.
    PDF

  46. (with J.N. Chen and R.D.P. Zhou)
    On pattern avoiding alternating permutations,
    European J. Combin. 40 (2014) 11-25.
    PDF

  47. (with E.X.W. Xia)
    Proof of a conjecture of Hirschhorn and Sellers on overpartitions,
    Acta Arith. 163(1) (2014) 59-69.
    PDF

  48. (with K.Q. Ji and E.Y.Y. Shen)
    On the positive moments of ranks of partitions,
    Electron. J. Combin. 21(1) (2014) #P1.29.

  49. (with A.Y.L. Dai and R.D.P. Zhou)
    Ordered partitions avoiding a permutation pattern of length 3,
    European J. Combin. 36 (2014) 416-424.
    PDF

  50. (with J.J.F. Guo and L.X.W. Wang)
    Infinitely log-monotonic combinatorial sequences,
    Adv. in Appl. Math. 52 (2014) 99-120.
    PDF

  51. (with J.F.F. Peng)
    Disposition polynomials and plane trees,
    European J. Combin. 36 (2014) 122-129.
    PDF


  52. 2013
  53. (with D.Q.J. Dou and A.L.B. Yang)
    Brändén's conjectures on the Boros-Moll polynomials,
    Int. Math. Res. Not. 2013(20) (2013) 4819-4828.
    PDF

  54. (with E.X.W. Xia)
    2-Log-concavity of the Boros-Moll polynomials,
    Proc. Edinb. Math. Soc. (2) 56(3) (2013) 701-722.
    PDF

  55. (with O.X.Q. Gao and P.L. Guo)
    q-Hook length formulas for signed labeled forests,
    Adv. in Appl. Math. 51(5) (2013) 563-582.
    PDF

  56. (with D.D.M. Sang and D.Y.H. Shi)
    The Rogers-Ramanujan-Gordon theorem for overpartitions,
    Proc. Lond. Math. Soc. (3) 106(6) (2013) 1371-1393.
    PDF

  57. (with L.H. Liu and C.J. Wang)
    Linked partitions and permutation tableaux,
    Electron. J. Combin. 20(3) (2013) #P53.

  58. (with K.Q. Ji, H.-T. Jin and E.Y.Y. Shen)
    On the number of partitions with designated summands,
    J. Number Theory 133 (2013) 2929-2938.
    PDF

  59. (with E.X.W. Xia)
    Proof of Moll's minimum conjecture,
    European J. Combin. 34 (2013) 787-791.
    PDF

  60. (with J.F.F. Peng and H.R.L. Yang)
    Decomposition of triply rooted trees,
    Electron. J. Combin. 20(2) (2013) #P10.

  61. (with A.Y.L. Dai, T. Dokos, T. Dwyer and B.E. Sagan)
    On 021-avoiding ascent sequences,
    Electron. J. Combin. 20(1) (2013) #P76.

  62. (with G.Z. Gong and J.J.F. Guo)
    The sorting index and permutation codes,
    Adv. in Appl. Math. 50 (2013) 367-389.
    PDF

  63. (with A.X.Y. Ren and A.L.B. Yang)
    Proof of a positivity conjecture on Schur functions,
    J. Combin. Theory Ser. A 120 (2013) 644-648.
    PDF


  64. 2012
  65. (with C.J. Wang)
    Noncrossing linked partitions and large (3, 2)-Motzkin paths,
    Discrete Math. 312 (2012) 1918-1922.
    PDF

  66. (with S.X.M. Pang and E.X.Y. Qu)
    Partially 2-colored permutations and the Boros-Moll polynomials,
    Ramanujan J. 27 (2012) 297-304.
    PDF

  67. (with K.Q. Ji and E.H. Liu)
    Partition identities for Ramanujan's third order mock theta functions,
    Q. J. Math. 63(2) (2012) 353-365.
    PDF

  68. (with E.H. Liu)
    A Franklin type involution for squares,
    Adv. Appl. Math. 49 (2012) 271-284.
    PDF

  69. (with A.J. Yee and A.J.W. Zhu)
    Euler's partition theorem with upper bounds on multiplicities,
    Electron. J. Combin. 19(3) (2012) #P41.

  70. (with D.K. Du and C.B. Mei)
    Combinatorial telescoping for an identity of Andrews on parity in partitions,
    European J. Combin. 33 (2012) 510-518.
    PDF

  71. (with N.J.Y. Fan and A.F.Y. Zhao)
    Partitions and partial matchings avoiding neighbor patterns,
    European J. Combin. 33 (2012) 491-504.
    PDF

  72. (with Q.-H. Hou and Y.-P. Mu)
    The extended Zeilberger algorithm with parameters,
    J. Symbolic Comput. 47(6) (2012) 643–654.
    PDF

  73. (with P.L. Guo)
    Oscillating rim hook tableaux and colored matchings,
    Adv. in Appl. Math. 48 (2012) 393-406.
    PDF

  74. (with B.L.S. Lin)
    Arithmetic properties of overpartition pairs,
    Acta Arith. 151(3) (2012) 263-277.
    PDF

  75. (with N.J.Y. Fan and J.Y.T. Jia)
    The generating function for the Dirichlet series Lm(s),
    Math. Comp. 81(278) (2012) 1005-1023.
    PDF


  76. 2011
  77. (with N.J.Y. Fan and J.Y.T. Jia)
    Labeled ballot paths and the Springer numbers,
    SIAM J. Discrete Math. 25 (2011) 1530-1546.
    PDF

  78. (with L.X.W. Wang and E.X.W. Xia)
    The interlacing log-concavity of the Boros-Moll polynomials,
    Pacific J. Math. 254(1) (2011) 89-99.
    PDF

  79. (with S.H.L. Chen, A.M. Fu and W.J.T. Zang)
    The Algorithm Z and Ramanujan's 1ψ1 summation,
    Ramanujan J. 25 (1) (2011) 37-47.
    PDF

  80. (with C.C.Y. Gu, K.J. Ma and L.X.W. Wang)
    Higher order log-concavity in Euler's difference table,
    Discrete Math. 311 (20) (2011) 2128-2134.
    PDF

  81. (with C.C.Y. Gu and K.J. Ma)
    Minimal permutations and 2-regular skew tableaux,
    Adv. Appl. Math. 47 (4) (2011) 795-812.
    PDF

  82. (with Q.-H. Hou and H.-T. Jin)
    The Abel-Zeilberger algorithm,
    Electron. J. Combin. 18(2) (2011) #P17.

  83. (with O.X.Q. Gao and P.L. Guo)
    On Han's hook length formulas for trees,
    Electron. J. Combin. 18 (2011) #P155.

  84. (with A.Y.Z. Wang and A.F.Y. Zhao)
    Identities derived from noncrossing partitions of type B,
    Electron. J. Combin. 18 (2011) #P129.

  85. (with L.X.W. Wang and A.L.B. Yang)
    Recurrence relations for strongly q-log-convex polynomials,
    Canad. Math. Bull. 54 (2011) 217-229.
    PDF

  86. (with L.H. Liu)
    Permutation tableaux and the dashed permutation pattern 32–1,
    Electron. J. Combin. 18 (2011) #P111.

  87. (with B.L.S. Lin)
    Congruences for bipartitions with odd parts distinct,
    Ramanujan J. 25 (2011) 277-293.
    PDF

  88. (with E.X.W. Xia)
    The ratio monotonicity of the q-derangement numbers,
    Discrete Math. 311(6) (2011) 393-397.
    PDF

  89. (with T.X.S. Li and D.G.L. Wang)
    A bijection between atomic partitions and unsplitable partitions,
    Electron. J. Combin. 18(1) (2011) #P7.

  90. (with E.X.W. Xia)
    The 2-log-convexity of the Apéry numbers,
    Proc. Amer. Math. Soc. 139(2) (2011) 391-400.
    PDF

  91. (with D.D.M. Sang and D.Y.H. Shi)
    Anti-lecture hall compositions and overpartitions,
    J. Combin. Theory Ser. A 118(4) (2011) 1451-1464.
    PDF

  92. (with Q.-H. Hou and L.H. Sun)
    The method of combinatorial telescoping,
    J. Combin. Theory Ser. A 118 (2011) 899-907.
    PDF

  93. (with D.G.L. Wang)
    Singletons and adjacencies of set partitions of type B,
    Discrete Math. 311 (2011) 418-422.
    PDF

  94. (with N.J.Y. Fan and T.X.S. Li)
    Han's bijection via permutation codes,
    European J. Combin. 32 (2011) 217-225.
    PDF

  95. (with D.Q.J. Dou and T.Y.J. Zhang)
    On three and four vicious walkers,
    J. Statist. Plann. Inference 141 (2011) 94-101.
    PDF


  96. 2010
  97. (with L.X.W. Wang)
    On balanced colorings of the n-cube,
    J. Algebraic Combin. 32 (2010) 379-387.

  98. (with L.X.W. Wang and A.L.B. Yang)
    Schur positivity and the q-log-convexity of the Narayana polynomials,
    J. Algebraic Combin. 32 (2010) 303-338.
    PDF

  99. (with A.L.B. Yang and E.L.F. Zhou)
    Ratio monotonicity of polynomials derived from nondecreasing sequences,
    Electron. J. Combin. 17 (2010) #N37.

  100. (with S. Poznanović, C.H. Yan and A.L.B. Yang)
    Major index for 01-fillings of moon polyominoes,
    J. Combin. Theory Ser. A 117(8) (2010) 1058-1081.

  101. (with A.Y.Z. Wang, C.H. Yan and A.F.Y. Zhao)
    Mixed statistics on 01-fillings of moon polyominoes,
    SIAM J. Discrete Math. 24(4) (2010) 1272-1290.
    PDF

  102. (with H.Y. Gao, K.Q. Ji and M.Y.X. Li)
    A unification of two refinements of Euler's partition theorem,
    Ramanujan J. 23(1) (2010) 137-149.
    PDF

  103. (with D.G.L. Wang)
    The limiting distribution of the q-derangement numbers,
    European J. Combin. 31 (2010) 2006-2013.

  104. (with K.Q. Ji and A.J.W. Zhu)
    On Stanley's partition function,
    Electron. J. Combin. 17 (2010) #N31.

  105. (with S.X.M. Pang and E.X.Y. Qu)
    On the combinatorics of the Boros-Moll polynomials,
    Ramanujan J. 21(1) (2010) 41-51.
    PDF

  106. (with D.G.L. Wang)
    Minimally intersecting set partitions of type B,
    Electron. J. Combin. 17 (2010) #R22.

  107. (with H.L. Saad and L.H. Sun)
    An operator approach to the Al-Salam-Carlitz polynomials,
    J. Math. Phys. 51 (2010) #043502.

  108. (with R.L. Tang, L.X.W. Wang and A.L.B. Yang)
    The q-log-convexity of the Narayana polynomials of type B,
    Adv. Appl. Math. 44 (2010) 85-110.
    PDF

  109. (with D.Q.J. Dou, R.L. Tang and A.L.B. Yang)
    The srank conjecture on Schur's Q-functions,
    Pacific J. Math. 244(2) (2010) 211-234.


  110. 2009
  111. (with H.S.W. Han and C.M. Reidys)
    Random k-noncrossing RNA structures,
    Proc. Natl. Acad. Sci. USA 106(52) (2009) 22061-22066.
    PDF

  112. (with H.Y. Gao and J. He)
    Labeled partitions with colored permutations,
    Discrete Math. 309(21) (2009) 6235-6244.
    PDF

  113. (with J. Liu and L.X.W. Wang)
    Families of sets with intersecting clusters,
    SIAM J. Discrete Math. 23(3) (2009) 1249-1260.
    PDF

  114. (with C.C.Y. Gu)
    The reverse ultra log-concavity of the Boros-Moll polynomials,
    Proc. Amer. Math. Soc. 137 (2009) 3991-3998.
    PDF

  115. 4819 (with E.X.W. Xia)
    The ratio monotonicity of the Boros-Moll polynomials,
    Math. Comp. 78 (2009) 2269-2282.
    PDF

  116. (with R.L. Tang and A.F.Y. Zhao)
    Derangement polynomials and excedances of type B,
    Electron. J. Combin. 16(2) (2009) #R15.

  117. (with L.H. Sun)
    Extended Zeilberger's algorithm for identities on Bernoulli and Euler polynomials,
    J. Number Theory 129 (2009) 2111-2132.
    PDF

  118. (with D.G.L. Wang and I.F. Zhang)
    Partitions of Zn into arithmetic progressions,
    European J. Combin. 30 (2009) 764-773.
    PDF

  119. (with S.X.M. Pang, E.X.Y. Qu and R.P. Stanley)
    Pairs of noncrossing free Dyck paths and noncrossing partitions,
    Discrete Math. 309(9) (2009) 2834-2838.
    PDF

  120. (with O.X.Q. Gao and P.L. Guo)
    Hook length formulas for trees by Han's expansion,
    Electron. J. Combin. 16 (2009) #R62.

  121. (with E.X.W. Xia)
    The q-WZ method for infinite series,
    J. Symbolic Comput. 44 (2009) 960-971.
    PDF

  122. (with A.M. Fu and I.F. Zhang)
    Faulhaber's theorem on power sums,
    Discrete Math. 309 (2009) 2974-2981.
    PDF

  123. (with S.X.M. Pang)
    On the combinatorics of the Pfaff identity,
    Discrete Math. 309 (2009) 2190-2196.
    PDF

  124. (with J. Qin, C.M. Reidys and D. Zeilberger)
    Efficient counting and asymptotics of k-noncrossing tangled diagrams,
    Electron. J. Combin. 16 (2009) #R37.

  125. (with J. Liu)
    Set systems with L-intersections modulo a prime number,
    J. Combin. Theory Ser. A 116(1) (2009) 120-131.


  126. 2008
  127. (with A.W.M. Dress and W.Q. Yu)
    Community structures of networks,
    Math. Comput. Sci. 1 (2008) 441-457.
    PDF

  128. (with C.J. Wang and L.X.W. Wang)
    The limiting distribution of the coefficients of the q-Catalan numbers,
    Proc. Amer. Math. Soc. 136(11) (2008) 3759-3767.
    PDF

  129. (with Q.-H. Hou and Y.-P. Mu)
    Non-terminating basic hypergeometric series and the q-Zeilberger algorithm,
    Proc. Edinburgh Math. Soc. 51 (2008) 609-633.

  130. (with S.H.F. Yan and L.L.M. Yang)
    Identities from weighted Motzkin paths,
    Adv. Appl. Math. 41 (2008) 329-334.
    PDF

  131. (with P. Paule and H.L. Saad)
    Converging to Gosper's algorithm,
    Adv. Appl. Math. 41 (2008) 351-364.
    PDF

  132. (with D. Xu)
    Labeled partitions and the q-derangement numbers,
    SIAM J. Discrete Math. 22(3) (2008) 1099-1104.
    PDF

  133. (with E.Y.P. Deng and L.L.M. Yang)
    Riordan paths and derangements,
    Discrete Math. 308(11) (2008) 2222-2227.

  134. (with J. Qin and C.M. Reidys)
    Crossings and nestings in tangled diagrams,
    Electron. J. Combin. 15 (2008) #R86.

  135. (with I.M. Gessel, C.H. Yan and A.L.B. Yang)
    A major index for matchings and set partitions,
    J. Combin. Theory Ser. A 115(6) (2008) 1069-1076.

  136. (with L.L.M. Yang)
    On Postnikov's hook length formula for binary trees,
    European J. Combin. 29 (2008) 1563-1565.
    PDF

  137. (with S.Y.J. Wu and C.H. Yan)
    Linked partitions and linked cycles,
    European J. Combin. 29 (2008) 1408-1426.

  138. (with V.Y.B. Chen and N.S.S. Gu)
    The Abel lemma and the q-Gosper algorithm,
    Math. Comp. 77 (2008) 1057-1074.
    PDF

  139. (with A.L.B. Yang)
    Stanley's zrank conjecture on skew partitions,
    Trans. Amer. Math. Soc. 360 (2008) 3121-3131.


  140. 2007
  141. (with A.W.M. Dress and W.Q. Yu)
    Checking the reliability of a linear-programming based approach
    towards detecting community structures in networks
    ,
    Systems Biol. 5 (2007) 286-291.
    PDF

  142. (with J.C.Y. Zhang)
    The skew and relative derangements of type B,
    Electron. J. Combin. 24 (2007) #N24.

  143. (with N.Y. Li and L.W. Shapiro)
    The butterfly decomposition of plane trees,
    Discrete Appl. Math. 155(17) (2007) 2187-2201.
    PDF

  144. (with H.L. Saad and L.H. Sun)
    The bivariate Rogers-Szegö polynomials,
    J. Phys. A 40 (2007) 6071-6084.

  145. (with K.Q. Ji)
    Weighted forms of Euler's theorem,
    J. Combin. Theory Ser. A 114 (2007) 360-372.

  146. (with N.Y. Li, L.W. Shapiro and S.H.F. Yan)
    Matrix identities on weighted partial Motzkin paths,
    European J. Combin. 28(4) (2007) 1196-1207.
    PDF

  147. (with E.Y.P. Deng, R.R.X. Du, R.P. Stanley and C.H. Yan)
    Crossings and nestings of matchings and partitions,
    Trans. Amer. Math. Soc. 359(4) (2007) 1555-1575.


  148. 2006
  149. (with K.Q. Ji and H.S. Wilf)
    BG-Ranks and 2-cores,
    Electron. J. Combin. 13 (2006) #N18.

  150. (with Q.-H. Hou and Y.-P. Mu)
    A telescoping method for double summations,
    J. Comput. Appl. Math. 196(2) (2006) 553-566.

  151. (with T. Mansour and S.H.F. Yan)
    Matchings avoiding partial patterns,
    Electron. J. Combin. 13 (2006) #R112.

  152. (with Q.-H. Hou)
    Factors of the Gaussian coefficients,
    Discrete Math. 306(13) (2006) 1446-1449.
    PDF

  153. (with W. Chu and N.S.S. Gu)
    Finite form of the quintuple product identity,
    J. Combin. Theory Ser. A 113 (2006) 185-187.

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

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

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

  157. (with S.H.F. Yan)
    Noncrossing trees and noncrossing graphs,
    Electron. J. Combin. 13 (2006) #N12.
    PDF


  158. 2005
  159. (with J.J.Y. Zhao)
    The Gaussian coefficients and overpartitions,
    Discrete Math. 305(1-3) (2005) 350-353.

  160. (with A.L.B. Yang)
    Stable equivalence over symmetric functions,
    Electron. J. Combin. 11(2) (2004/06) #R23.

  161. (with Q.-H. Hou and Y.-P. Mu)
    Applicability of the q-analogue of Zeilberger's algorithm,
    J. Symbolic Comput. 39(2) (2005) 155-170.

  162. (with G.-G. Yan and A.L.B. Yang)
    Transformations of border strips and Schur function determinants,
    J. Algebraic Combin. 21(4) (2005) 379-394.

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

  164. (with H.L. Saad)
    On the Gosper-Petkovsek representation of rational functions,
    J. Symbolic Comput. 40(2) (2005) 955-963.

  165. (with C. Krattenthaler and A.L.B. Yang)
    The flagged Cauchy determinant,
    Graphs Combin. 21 (2005) 51-62.
    PDF

  166. (with D.C. Torney)
    Equivalence classes of matchings and lattice-square designs,
    Discrete Appl. Math. 145 (2005) 349-357.


  167. 2004
  168. (with G.-G. Yan and A.L.B. Yang)
    The skew Schubert polynomials,
    European J. Combin. 25(8) (2004) 1181-1196.

  169. (with C.L. Barrett and M.J. Zheng)
    Discrete dynamical systems on graphs and Boolean functions,
    Math. Comput. Simulation 66(6) (2004) 487-497.
    PDF

  170. (with A.M. Fu)
    Cauchy augmentation for basic hypergeometric series,
    Bull. London Math. Soc. 36(2) (2004) 169-175.
    PDF

  171. (with X.L. Li, C. Wang and X.Y. Zhang)
    The minimum all-ones problem for trees,
    SIAM J. Comput. 33(2) (2004) 379-392.
    PDF


  172. 2003
  173. (with A.M. Fu and B.Y. Zhang)
    The homogeneous q-difference operator,
    Adv. Appl. Math. 31 (2003) 659-668.
    PDF

  174. (with Y.P. Deng and L.L.M. Yang)
    Motzkin paths and reduced decompositions for permutations with forbidden patterns,
    Electron. J. Combin. 9(2) (2002-2003) #R15.

  175. (with Q.-H. Hou and A. Lascoux)
    An involution for the Gauss identity,
    J. Combin. Theory Ser. A 102 (2003) 309-320.
    PDF


  176. 2002
  177. (with B.Q. Li and J.D. Louck)
    The flagged double Schur function,
    J. Algebraic Combin. 15 (2002) 7-26.
    PDF


  178. 2001
  179. (with V.J.W. Guo)
    Bijections behind the Ramanujan polynomials,
    Adv. Appl. Math. 27 (2001) 336-356.
    PDF

  180. (with J. Wang)
    Decomposition of necklaces,
    Ann. Comb. 5 (2001) 271-283.

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


  182. 2000
  183. (with J.D. Louck and J. Wang)
    Adjacency and parity relations of words in discrete dynamical systems,
    J. Combin. Theory Ser. A 91 (2000) 476-508.


  184. 1999
  185. A general bijective algorithm for increasing tress,
    Syst. Sci. Math. Sci. 12 (1999) 193-203.

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


  187. 1998
  188. The pessimistic search and the straightening involution for trees,
    European J. Combin. 19 (1998) 553-558.

  189. (with J.D. Louck and H. Galbraith)
    Combinatorics of 3n-j coefficients,
    Phys. Atomic Nuclei 61(11) (1998) 1868-1873.

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

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


  192. 1997
  193. (with Z.-G. Liu)
    Parameter augmentation for basic hypergeometric series II,
    J. Combin. Theory Ser. A 80(2) (1997) 175-195.

  194. (with J.D. Louck)
    Necklaces, MSS sequences and DNA sequences,
    Adv. Appl. Math. 18 (1997) 18-32.


  195. 1996
  196. (with J.D. Louck)
    The combinatorial power of the companion matrix,
    Linear Algebra Appl. 232 (1996) 261-278.

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

  198. (with J.D. Louck)
    Interpolation for symmetric functions,
    Adv. Math. 117 (1996) 147-156.


  199. 1995
  200. (with J. Oliveira)
    Implication algebras and the Metropolis-Rota axioms for cubic lattices,
    J. Algebra 171 (1995) 383-396.

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

  202. (with K.-W. Lih and Y.-N. Yeh)
    Cyclic tableaux and symmetric functions,
    Stud. Appl. Math. 94 (1995) 327-339.

  203. (with J.D. Louck, L.C. Biedenharn and M.A. Lohe)
    The role of SU(2) 3n-j coefficients in SU(3),
    In: T. Lulek, B. Lulek and A. Wal (eds.),
    Symmetry and Structural Properties of Condensed Matter, 150-182,
    World Sci. Publ., River Edge, NJ, 1995.

  204. (with V. Faber and E. Knill)
    Restricted routing and wide diameter of the cycle prefix,
    In: D.F. Hsu, A.L. Rosenberg and D. Sotteau (eds.),
    Interconnection networks and mapping and scheduling parallel computations, 31-46,
    DIMACS Ser. Discrete Math. Theoret. Comput. Sci. 21, Amer. Math. Soc., Providence, RI, 1995.


  205. 1994
  206. A bijection for enriched trees,
    European J. Combin. 15 (1994) 337-343.


  207. 1993
  208. The theory of compositionals,
    Discrete Math. 122 (1993) 59-87.

  209. Compositional calculus,
    J. Combin. Theory Ser. A 64 (1993) 149-188.

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

  211. A coding algorithm for Rényi trees,
    J. Combin. Theory Ser. A 63 (1993) 11-25.

  212. (with V. Faber and J. Moore)
    Cycle prefix digraphs for symmetric interconnection networks,
    Networks 23 (1993) 641-649.

  213. (with J.D. Louck)
    The factorial Schur function,
    J. Math. Phys. 34 (9) (1993) 4144-4160.

  214. Context-free grammars, differential operators and formal power series,
    Theoret. Comput. Sci. 117 (1993) 113-129.

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


  216. 1992
  217. (with Gian-Carlo Rota)
    q-Analogs of the principle of inclusion---exclusion and permutations of restricted position,
    Discrete Math. 104 (1992) 7-22.

  218. Integral matrices with given row and column sums,
    J. Combin. Theory Ser. A 61 (1992) 153-172.


  219. 1991
  220. Maximum (g, f )-factors of a general graph,
    Discrete Math. 91 (1991) 1-7.


  221. 1990
  222. A general bijective algorithm for trees,
    Proc. Natl. Acad. Sci. USA. 87 (1990) 9635-9639.


  223. 1989
  224. (with A. Shastri)
    On joint realization of (0, 1)-matrices,
    Linear Algebra Appl. 112 (1989) 75-85.


  225. 1988
  226. A short proof of Kundu's k-factor theorem,
    Discrete Math. 71 (1988) 177-179.


  227. 1986
  228. A counterexample to a conjecture of Brualdi and Anstee,
    J. Math. Res. Exposition 6 (1986) 68.