To Appear
  1. (with Ivy D.D. Jia)
    Semi-invariants of Binary Forms Pertaining to a Unimodality Theorem of Reiner and Stanton,
    Internat. J. Math., to appear.
    PDF


  2. 2021
  3. (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 Citations

  4. (with H.R.L. Yang)
    A context-free grammar for the Ramanujan-Shor polynomials,
    Adv. in Appl. Math., 126 (2021) 101908.
    PDF | 4 Citations


  5. 2019
  6. (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

  7. (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 | 8 Citations


  8. 2018
  9. (with L.H. Sun)
    Stanley's lemma and multiple theta functions,
    SIAM J. Discrete Math. 32 (2018) 474-504.
    PDF | 1 Citation


  10. 2017
  11. (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

  12. 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 | 9 Citations

    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 »
  13. (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 | 1 Citation

  14. (with A.M. Fu)
    Context-free grammars for permutations and increasing trees,
    Adv. in Appl. Math. 82 (2017) 58-82.
    PDF | 27 Citations


  15. 2016
  16. (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.
    8 Citations

  17. (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.
    7 Citations

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

  19. (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 | 9 Citations

  20. (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 | 23 Citations

  21. (with K.Q. Ji and W.J.T. Zang)
    The spt-crank for ordinary partitions,
    J. Reine Angew. Math. 711 (2016) 231-249.
    PDF | 6 Citations

  22. (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 | 10 Citations


  23. 2015
  24. (with P.L. Guo and S.X.M. Pang)
    Vacillating Hecke tableaux and linked partitions,
    Math. Z. 281(3-4) (2015) 661-672.
    PDF | 3 Citation

  25. (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.
    11 Citations

  26. (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 | 10 Citations

  27. (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 | 10 Citations

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


  29. 2014
  30. (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 | 3 Citations

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

  32. (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 | 4 Citations

  33. (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

  34. (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 | 5 Citations

  35. (with J.N. Chen and R.D.P. Zhou)
    On pattern avoiding alternating permutations,
    European J. Combin. 40 (2014) 11-25.
    PDF | 2 Citations

  36. (with E.X.W. Xia)
    Proof of a conjecture of Hirschhorn and Sellers on overpartitions,
    Acta Arith. 163(1) (2014) 59-69.
    PDF | 23 Citations

  37. (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.
    2 Citations

  38. (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 | 8 Citations

  39. (with J.J.F. Guo and L.X.W. Wang)
    Infinitely log-monotonic combinatorial sequences,
    Adv. in Appl. Math. 52 (2014) 99-120.
    PDF | 20 Citations

  40. (with J.F.F. Peng)
    Disposition polynomials and plane trees,
    European J. Combin. 36 (2014) 122-129.
    PDF | 3 Citations


  41. 2013
  42. (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 | 9 Citations

  43. (with E.X.W. Xia)
    2-Log-concavity of the Boros-Moll polynomials,
    Proc. Edinb. Math. Soc. (2) 56(3) (2013) 701-722.
    PDF | 9 Citations

  44. (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 | 5 Citations

  45. (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 | 12 Citations

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

  47. (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 | 11 Citations

  48. (with E.X.W. Xia)
    Proof of Moll's minimum conjecture,
    European J. Combin. 34 (2013) 787-791.
    PDF | 9 Citations

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

  50. (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.
    11 Citations

  51. (with G.Z. Gong and J.J.F. Guo)
    The sorting index and permutation codes,
    Adv. in Appl. Math. 50 (2013) 367-389.
    PDF | 8 Citations

  52. (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 | 1 Citation


  53. 2012
  54. (with C.J. Wang)
    Noncrossing linked partitions and large (3, 2)-Motzkin paths,
    Discrete Math. 312 (2012) 1918-1922.
    PDF | 8 Citations

  55. (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 | 4 Citations

  56. (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 | 2 Citations

  57. (with E.H. Liu)
    A Franklin type involution for squares,
    Adv. Appl. Math. 49 (2012) 271-284.
    PDF | 5 Citations

  58. (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.
    1 Citation

  59. (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 | 2 Citations

  60. (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 | 6 Citations

  61. (with Q.-H. Hou and Y.-P. Mu)
    The extended Zeilberger algorithm with parameters,
    J. Symbolic Comput. 47(6) (2012) 643–654.
    PDF | 10 Citations

  62. (with P.L. Guo)
    Oscillating rim hook tableaux and colored matchings,
    Adv. in Appl. Math. 48 (2012) 393-406.
    PDF | 8 Citations

  63. (with B.L.S. Lin)
    Arithmetic properties of overpartition pairs,
    Acta Arith. 151(3) (2012) 263-277.
    PDF | 19 Citations

  64. (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 | 2 Citations


  65. 2011
  66. (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 | 6 Citations

  67. (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 | 3 Citations

  68. (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 | 2 Citations

  69. (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 | 1 Citation

  70. (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 | 2 Citations

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

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

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

  74. (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 | 20 Citations

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

  76. (with B.L.S. Lin)
    Congruences for bipartitions with odd parts distinct,
    Ramanujan J. 25 (2011) 277-293.
    PDF | 18 Citations

  77. (with E.X.W. Xia)
    The ratio monotonicity of the q-derangement numbers,
    Discrete Math. 311(6) (2011) 393-397.
    PDF | 5 Citations

  78. (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.
    5 Citations

  79. (with E.X.W. Xia)
    The 2-log-convexity of the Apéry numbers,
    Proc. Amer. Math. Soc. 139(2) (2011) 391-400.
    PDF | 17 Citations

  80. (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 | 7 Citations

  81. (with Q.-H. Hou and L.H. Sun)
    The method of combinatorial telescoping,
    J. Combin. Theory Ser. A 118 (2011) 899-907.
    PDF | 3 Citations

  82. (with D.G.L. Wang)
    Singletons and adjacencies of set partitions of type B,
    Discrete Math. 311 (2011) 418-422.
    PDF | 5 Citations

  83. (with N.J.Y. Fan and T.X.S. Li)
    Han's bijection via permutation codes,
    European J. Combin. 32 (2011) 217-225.
    PDF | 1 Citation

  84. (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 | 2 Citations


  85. 2010
  86. (with L.X.W. Wang)
    On balanced colorings of the n-cube,
    J. Algebraic Combin. 32 (2010) 379-387.
    PDF

  87. (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 | 26 Citations

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

  89. (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.
    9 Citations

  90. (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 | 4 Citations

  91. (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 | 4 Citations

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

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

  94. (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 | 4 Citations

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

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

  97. (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 | 20 Citations

  98. (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.


  99. 2009
  100. (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 | 19 Citations

  101. (with H.Y. Gao and J. He)
    Labeled partitions with colored permutations,
    Discrete Math. 309(21) (2009) 6235-6244.
    PDF | 2 Citations

  102. (with J. Liu and L.X.W. Wang)
    Families of sets with intersecting clusters,
    SIAM J. Discrete Math. 23(3) (2009) 1249-1260.
    PDF | 10 Citations

  103. (with C.C.Y. Gu)
    The reverse ultra log-concavity of the Boros-Moll polynomials,
    Proc. Amer. Math. Soc. 137 (2009) 3991-3998.
    PDF | 14 Citations

  104. (with E.X.W. Xia)
    The ratio monotonicity of the Boros-Moll polynomials,
    Math. Comp. 78 (2009) 2269-2282.
    PDF | 16 Citations

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

  106. (with L.H. Sun)
    Extended Zeilberger's algorithm for identities on Bernoulli and Euler polynomials,
    J. Number Theory 129 (2009) 2111-2132.
    PDF | 32 Citations

  107. (with D.G.L. Wang and I.F. Zhang)
    Partitions of Zn into arithmetic progressions,
    European J. Combin. 30 (2009) 764-773.
    PDF | 4 Citations

  108. (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 | 8 Citations

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

  110. (with E.X.W. Xia)
    The q-WZ method for infinite series,
    J. Symbolic Comput. 44 (2009) 960-971.
    PDF | 4 Citations

  111. (with A.M. Fu and I.F. Zhang)
    Faulhaber's theorem on power sums,
    Discrete Math. 309 (2009) 2974-2981.
    PDF | 8 Citations

  112. (with S.X.M. Pang)
    On the combinatorics of the Pfaff identity,
    Discrete Math. 309 (2009) 2190-2196.
    PDF | 14 Citations

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

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


  115. 2008
  116. (with A.W.M. Dress and W.Q. Yu)
    Community structures of networks,
    Math. Comput. Sci. 1 (2008) 441-457.
    PDF | 15 Citations

  117. (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 | 6 Citations

  118. (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.
    8 Citations

  119. (with S.H.F. Yan and L.L.M. Yang)
    Identities from weighted Motzkin paths,
    Adv. Appl. Math. 41 (2008) 329-334.
    PDF | 19 Citations

  120. (with P. Paule and H.L. Saad)
    Converging to Gosper's algorithm,
    Adv. Appl. Math. 41 (2008) 351-364.
    PDF | 13 Citations

  121. (with D. Xu)
    Labeled partitions and the q-derangement numbers,
    SIAM J. Discrete Math. 22(3) (2008) 1099-1104.
    PDF | 6 Citations

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

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

  124. (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.
    6 Citations

  125. (with L.L.M. Yang)
    On Postnikov's hook length formula for binary trees,
    European J. Combin. 29 (2008) 1563-1565.
    PDF | 19 Citations

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

  127. (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 | 2 Citations

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


  129. 2007
  130. (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 | 5 Citations

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

  132. (with N.Y. Li and L.W. Shapiro)
    The butterfly decomposition of plane trees,
    Discrete Appl. Math. 155(17) (2007) 2187-2201.
    PDF | 13 Citations

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

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

  135. (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 | 22 Citations

  136. (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.
    173 Citations


  137. 2006
  138. (with K.Q. Ji and H.S. Wilf)
    BG-Ranks and 2-cores,
    Electron. J. Combin. 13 (2006) #N18.
    4 Citations

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

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

  141. (with Q.-H. Hou)
    Factors of the Gaussian coefficients,
    Discrete Math. 306(13) (2006) 1446-1449.
    PDF | 11 Citations

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

  143. (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.
    9 Citations

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

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

  146. (with S.H.F. Yan)
    Noncrossing trees and noncrossing graphs,
    Electron. J. Combin. 13 (2006) #N12.
    PDF | 10 Citations


  147. 2005
  148. (with J.J.Y. Zhao)
    The Gaussian coefficients and overpartitions,
    Discrete Math. 305(1-3) (2005) 350-353.
    3 Citations

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

  150. (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.
    17 Citations

  151. (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.
    8 Citations

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

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

  154. (with C. Krattenthaler and A.L.B. Yang)
    The flagged Cauchy determinant,
    Graphs Combin. 21 (2005) 51-62.
    PDF | 3 Citations

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


  156. 2004
  157. (with G.-G. Yan and A.L.B. Yang)
    The skew Schubert polynomials,
    European J. Combin. 25(8) (2004) 1181-1196.
    7 Citations

  158. (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 | 24 Citations

  159. (with A.M. Fu)
    Cauchy augmentation for basic hypergeometric series,
    Bull. London Math. Soc. 36(2) (2004) 169-175.
    PDF | 4 Citations

  160. (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 | 17 Citations


  161. 2003
  162. (with A.M. Fu and B.Y. Zhang)
    The homogeneous q-difference operator,
    Adv. Appl. Math. 31 (2003) 659-668.
    PDF | 23 Citations

  163. (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.
    15 Citations

  164. (with Q.-H. Hou and A. Lascoux)
    An involution for the Gauss identity,
    J. Combin. Theory Ser. A 102 (2003) 309-320.
    PDF | 3 Citations


  165. 2002
  166. (with B.Q. Li and J.D. Louck)
    The flagged double Schur function,
    J. Algebraic Combin. 15 (2002) 7-26.
    PDF | 19 Citations


  167. 2001
  168. (with J.W. Guo)
    Bijections behind the Ramanujan polynomials,
    Adv. Appl. Math. 27 (2001) 336-356.
    PDF | 10 Citations

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

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


  171. 2000
  172. (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.
    7 Citations


  173. 1999
  174. A general bijective algorithm for increasing tress,
    Syst. Sci. Math. Sci. 12 (1999) 193-203.
    8 Citations

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


  176. 1998
  177. The pessimistic search and the straightening involution for trees,
    European J. Combin. 19 (1998) 553-558.
    2 Citations

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

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

  180. (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.
    65 Citations


  181. 1997
  182. (with Z.-G. Liu)
    Parameter augmentation for basic hypergeometric series II,
    J. Combin. Theory Ser. A 80(2) (1997) 175-195.
    62 Citations

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


  184. 1996
  185. (with J.D. Louck)
    The combinatorial power of the companion matrix,
    Linear Algebra Appl. 232 (1996) 261-278.
    52 Citations

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

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


  188. 1995
  189. (with J. Oliveira)
    Implication algebras and the Metropolis-Rota axioms for cubic lattices,
    J. Algebra 171 (1995) 383-396.
    16 Citations

  190. (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.
    1 Citation

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

  192. (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.
    5 Citations

  193. (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.
    13 Citations


  194. 1994
  195. A bijection for enriched trees,
    European J. Combin. 15 (1994) 337-343.
    2 Citations


  196. 1993
  197. The theory of compositionals,
    Discrete Math. 122 (1993) 59-87.
    13 Citations

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

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

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

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

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

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

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


  205. 1992
  206. (with Gian-Carlo Rota)
    q-Analogs of the principle of inclusion---exclusion and permutations of restricted position,
    Discrete Math. 104 (1992) 7-22.
    28 Citations

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


  208. 1991
  209. Maximum (g, f )-factors of a general graph,
    Discrete Math. 91 (1991) 1-7.
    4 Citations


  210. 1990
  211. A general bijective algorithm for trees,
    Proc. Natl. Acad. Sci. USA. 87 (1990) 9635-9639.
    48 Citations


  212. 1989
  213. (with A. Shastri)
    On joint realization of (0, 1)-matrices,
    Linear Algebra Appl. 112 (1989) 75-85.
    9 Citations


  214. 1988
  215. A short proof of Kundu's k-factor theorem,
    Discrete Math. 71 (1988) 177-179.
    22 Citations


  216. 1986
  217. A counterexample to a conjecture of Brualdi and Anstee,
    J. Math. Res. Exposition 6 (1986) 68.
    6 Citations