2022
  1. (with Amy M. Fu and Sherry H.F. Yan)
    The Gessel correspondence and the partial γ-positivity of the Eulerian polynomials on multiset Stirling permutations,
    European J. Combin., to appear.
    PDF

  2. (with Amy M. Fu)
    The Dumont ansatz for the Eulerian polynomials, peak polynomials and derivative polynomials,
    Ann. Combin., online.
    PDF

  3. Cubic equations through the looking glass of Sylvester,
    College Math. J. 53(5) (2022) 396-398.
    PDF | 1 Citation

  4. (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 | 2 Citations

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


  6. 2021
  7. (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 | 2 Citations

  8. (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 | 18 Citations

  9. (with H.R.L. Yang)
    A context-free grammar for the Ramanujan-Shor polynomials,
    Adv. in Appl. Math., 126 (2021) 101908.
    PDF | 7 Citations


  10. 2019
  11. (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 | 5 Citations

  12. (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 | 22 Citations


  13. 2018
  14. (with L.H. Sun)
    Stanley's lemma and multiple theta functions,
    SIAM J. Discrete Math. 32 (2018) 474-504.
    PDF | 1 Citation


  15. 2017
  16. (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 | 1 Citations

  17. 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 | 18 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 »
  18. (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

  19. (with A.M. Fu)
    Context-free grammars for permutations and increasing trees,
    Adv. in Appl. Math. 82 (2017) 58-82.
    PDF | 41 Citations


  20. 2016
  21. (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.
    10 Citations

  22. (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.
    8 Citations

  23. (with J.N. Chen)
    On permutations with bounded drop size,
    European J. Combin. 54 (2016) 138-153.
    PDF | 1 Citation

  24. (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 | 12 Citations

  25. (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 Citations

  26. (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

  27. (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 | 12 Citations


  28. 2015
  29. (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 Citations

  30. (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.
    12 Citations

  31. (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 | 12 Citations

  32. (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 | 12 Citations

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


  34. 2014
  35. (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

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

  37. (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 | 5 Citations

  38. (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

  39. (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 | 6 Citations

  40. (with J.N. Chen and R.D.P. Zhou)
    On pattern avoiding alternating permutations,
    European J. Combin. 40 (2014) 11-25.
    PDF | 4 Citations

  41. (with E.X.W. Xia)
    Proof of a conjecture of Hirschhorn and Sellers on overpartitions,
    Acta Arith. 163(1) (2014) 59-69.
    PDF | 28 Citations

  42. (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.
    3 Citations

  43. (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 | 9 Citations

  44. (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

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


  46. 2013
  47. (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 | 10 Citations

  48. (with E.X.W. Xia)
    2-Log-concavity of the Boros-Moll polynomials,
    Proc. Edinb. Math. Soc. (2) 56(3) (2013) 701-722.
    PDF | 10 Citations

  49. (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

  50. (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

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

  52. (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

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

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

  55. (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.
    15 Citations

  56. (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

  57. (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


  58. 2012
  59. (with C.J. Wang)
    Noncrossing linked partitions and large (3, 2)-Motzkin paths,
    Discrete Math. 312 (2012) 1918-1922.
    PDF | 8 Citations

  60. (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

  61. (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

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

  63. (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

  64. (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

  65. (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

  66. (with Q.-H. Hou and Y.-P. Mu)
    The extended Zeilberger algorithm with parameters,
    J. Symbolic Comput. 47(6) (2012) 643–654.
    PDF | 12 Citations

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

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

  69. (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


  70. 2011
  71. (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

  72. (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

  73. (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

  74. (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

  75. (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

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

  77. (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

  78. (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

  79. (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 | 22 Citations

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

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

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

  83. (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

  84. (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

  85. (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

  86. (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

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

  88. (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

  89. (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


  90. 2010
  91. (with L.X.W. Wang)
    On balanced colorings of the n-cube,
    J. Algebraic Combin. 32 (2010) 379-387.
    PDF

  92. (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 | 30 Citations

  93. (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

  94. (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

  95. (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 | 5 Citations

  96. (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 | 6 Citations

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

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

  99. (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

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

  101. (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

  102. (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 | 21 Citations

  103. (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.


  104. 2009
  105. (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

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

  107. (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

  108. (with C.C.Y. Gu)
    The reverse ultra log-concavity of the Boros-Moll polynomials,
    Proc. Amer. Math. Soc. 137 (2009) 3991-3998.
    PDF | 15 Citations

  109. 4819 (with E.X.W. Xia)
    The ratio monotonicity of the Boros-Moll polynomials,
    Math. Comp. 78 (2009) 2269-2282.
    PDF | 17 Citations

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

  111. (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

  112. (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

  113. (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

  114. (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

  115. (with E.X.W. Xia)
    The q-WZ method for infinite series,
    J. Symbolic Comput. 44 (2009) 960-971.
    PDF | 5 Citations

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

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

  118. (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

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


  120. 2008
  121. (with A.W.M. Dress and W.Q. Yu)
    Community structures of networks,
    Math. Comput. Sci. 1 (2008) 441-457.
    PDF | 15 Citations

  122. (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

  123. (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

  124. (with S.H.F. Yan and L.L.M. Yang)
    Identities from weighted Motzkin paths,
    Adv. Appl. Math. 41 (2008) 329-334.
    PDF | 21 Citations

  125. (with P. Paule and H.L. Saad)
    Converging to Gosper's algorithm,
    Adv. Appl. Math. 41 (2008) 351-364.
    PDF | 14 Citations

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

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

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

  129. (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

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

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

  132. (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

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


  134. 2007
  135. (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

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

  137. (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

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

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

  140. (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

  141. (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.
    181 Citations


  142. 2006
  143. (with K.Q. Ji and H.S. Wilf)
    BG-Ranks and 2-cores,
    Electron. J. Combin. 13 (2006) #N18.
    4 Citations

  144. (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

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

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

  147. (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

  148. (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

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

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

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


  152. 2005
  153. (with J.J.Y. Zhao)
    The Gaussian coefficients and overpartitions,
    Discrete Math. 305(1-3) (2005) 350-353.
    3 Citations

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

  155. (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

  156. (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

  157. (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

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

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

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


  161. 2004
  162. (with G.-G. Yan and A.L.B. Yang)
    The skew Schubert polynomials,
    European J. Combin. 25(8) (2004) 1181-1196.
    7 Citations

  163. (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

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

  165. (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


  166. 2003
  167. (with A.M. Fu and B.Y. Zhang)
    The homogeneous q-difference operator,
    Adv. Appl. Math. 31 (2003) 659-668.
    PDF | 24 Citations

  168. (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.
    16 Citations

  169. (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


  170. 2002
  171. (with B.Q. Li and J.D. Louck)
    The flagged double Schur function,
    J. Algebraic Combin. 15 (2002) 7-26.
    PDF | 20 Citations


  172. 2001
  173. (with J.W. Guo)
    Bijections behind the Ramanujan polynomials,
    Adv. Appl. Math. 27 (2001) 336-356.
    PDF | 10 Citations

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

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


  176. 2000
  177. (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


  178. 1999
  179. A general bijective algorithm for increasing tress,
    Syst. Sci. Math. Sci. 12 (1999) 193-203.
    8 Citations

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


  181. 1998
  182. The pessimistic search and the straightening involution for trees,
    European J. Combin. 19 (1998) 553-558.
    2 Citations

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

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

  185. (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.
    66 Citations


  186. 1997
  187. (with Z.-G. Liu)
    Parameter augmentation for basic hypergeometric series II,
    J. Combin. Theory Ser. A 80(2) (1997) 175-195.
    64 Citations

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


  189. 1996
  190. (with J.D. Louck)
    The combinatorial power of the companion matrix,
    Linear Algebra Appl. 232 (1996) 261-278.
    52 Citations

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

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


  193. 1995
  194. (with J. Oliveira)
    Implication algebras and the Metropolis-Rota axioms for cubic lattices,
    J. Algebra 171 (1995) 383-396.
    16 Citations

  195. (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

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

  197. (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

  198. (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


  199. 1994
  200. A bijection for enriched trees,
    European J. Combin. 15 (1994) 337-343.
    2 Citations


  201. 1993
  202. The theory of compositionals,
    Discrete Math. 122 (1993) 59-87.
    13 Citations

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

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

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

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

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

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

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


  210. 1992
  211. (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

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


  213. 1991
  214. Maximum (g, f )-factors of a general graph,
    Discrete Math. 91 (1991) 1-7.
    4 Citations


  215. 1990
  216. A general bijective algorithm for trees,
    Proc. Natl. Acad. Sci. USA. 87 (1990) 9635-9639.
    48 Citations


  217. 1989
  218. (with A. Shastri)
    On joint realization of (0, 1)-matrices,
    Linear Algebra Appl. 112 (1989) 75-85.
    9 Citations


  219. 1988
  220. A short proof of Kundu's k-factor theorem,
    Discrete Math. 71 (1988) 177-179.
    23 Citations


  221. 1986
  222. A counterexample to a conjecture of Brualdi and Anstee,
    J. Math. Res. Exposition 6 (1986) 68.
    6 Citations