2024

  1. (with Amy M. Fu)
    A grammar of Dumont and a theorem of Diaconis-Evans-Graham,
    Adv. in Appl. Math. 160 (2024) 102743.
    PDF

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


    3. 2023

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

  4. (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

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


    6. 2022

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

  7. (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

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


    9. 2021

  9. (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

  10. (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

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


    12. 2019

  12. (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

  13. (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


    14. 2018

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


    15. 2017

  15. (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

  16. 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 »

  17. (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

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


    19. 2016

  19. (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.

  20. (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.

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

  22. (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

  23. (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

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

  25. (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


    26. 2015

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

  27. (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.

  28. (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

  29. (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

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


    31. 2014

  31. (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.

  32. (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

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

  34. (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

  35. (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

  36. (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

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

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

  39. (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.

  40. (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

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

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


    43. 2013

  43. (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

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

  45. (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

  46. (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

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

  48. (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

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

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

  51. (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.

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

  53. (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


    54. 2012

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

  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

  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

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

  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.

  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

  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

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

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

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

  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


    65. 2011

  65. (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

  66. (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

  67. (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

  68. (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

  69. (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

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

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

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

  73. (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

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

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

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

  77. (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.

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

  79. (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

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

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

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

  83. (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


    84. 2010

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

  85. (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

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

  87. (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.

  88. (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

  89. (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

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

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

  92. (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

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

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

  95. (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

  96. (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.


    97. 2009

  97. (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

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

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

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

  101. 4819 (with E.X.W. Xia)
    The ratio monotonicity of the Boros-Moll polynomials,
    Math. Comp. 78 (2009) 2269-2282.
    PDF

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

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

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

  105. (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

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

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

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

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

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

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


    112. 2008

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

  113. (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

  114. (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.

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

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

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

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

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

  120. (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.

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

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

  123. (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

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


    125. 2007

  125. (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

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

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

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

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

  130. (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

  131. (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.


    132. 2006

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

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

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

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

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

  137. (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.

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

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

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


    141. 2005

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

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

  143. (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.

  144. (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.

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

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

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

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


    149. 2004

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

  150. (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

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

  152. (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


    153. 2003

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

  154. (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.

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


    156. 2002

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


    157. 2001

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

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

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


    160. 2000

  160. (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.


    161. 1999

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

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


    163. 1998

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

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

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

  166. (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.


    167. 1997

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

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


    169. 1996

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

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

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


    172. 1995

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

  173. (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.

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

  175. (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.

  176. (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.


    177. 1994

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


    178. 1993

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

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

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

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

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

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

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

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


    186. 1992

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

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


    188. 1991

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


    189. 1990

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


    190. 1989

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


    191. 1988

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


    192. 1986

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