To Appear Cubic equations through the looking glass of Sylvester College Math. J., to appear. PDF (with Ivy D.D. Jia) Semi-invariants of binary forms and Sylvester's theorem, Ramanujan J., to appear. PDF 2022 (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 2021 (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 (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 | 17 Citations (with H.R.L. Yang) A context-free grammar for the Ramanujan-Shor polynomials, Adv. in Appl. Math., 126 (2021) 101908. PDF | 7 Citations 2019 (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 | 4 Citations (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 | 17 Citations 2018 (with L.H. Sun) Stanley's lemma and multiple theta functions, SIAM J. Discrete Math. 32 (2018) 474-504. PDF | 1 Citation 2017 (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 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 | 16 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 » (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 (with A.M. Fu) Context-free grammars for permutations and increasing trees, Adv. in Appl. Math. 82 (2017) 58-82. PDF | 40 Citations 2016 (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 (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 (with J.N. Chen) On permutations with bounded drop size, European J. Combin. 54 (2016) 138-153. PDF | 1 Citation (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 (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 (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 (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 2015 (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 (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 (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 (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 (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 2014 (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 (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 (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 (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 (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 (with J.N. Chen and R.D.P. Zhou) On pattern avoiding alternating permutations, European J. Combin. 40 (2014) 11-25. PDF | 4 Citations (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 (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 (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 (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 (with J.F.F. Peng) Disposition polynomials and plane trees, European J. Combin. 36 (2014) 122-129. PDF | 3 Citations 2013 (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 (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 (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 (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 (with L.H. Liu and C.J. Wang) Linked partitions and permutation tableaux, Electron. J. Combin. 20(3) (2013) #P53. 5 Citations (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 (with E.X.W. Xia) Proof of Moll's minimum conjecture, European J. Combin. 34 (2013) 787-791. PDF | 9 Citations (with J.F.F. Peng and H.R.L. Yang) Decomposition of triply rooted trees, Electron. J. Combin. 20(2) (2013) #P10. 5 Citations (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. 14 Citations (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 (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 2012 (with C.J. Wang) Noncrossing linked partitions and large (3, 2)-Motzkin paths, Discrete Math. 312 (2012) 1918-1922. PDF | 8 Citations (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 (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 (with E.H. Liu) A Franklin type involution for squares, Adv. Appl. Math. 49 (2012) 271-284. PDF | 5 Citations (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 (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 (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 (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 (with P.L. Guo) Oscillating rim hook tableaux and colored matchings, Adv. in Appl. Math. 48 (2012) 393-406. PDF | 8 Citations (with B.L.S. Lin) Arithmetic properties of overpartition pairs, Acta Arith. 151(3) (2012) 263-277. PDF | 19 Citations (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 2011 (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 (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 (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 (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 (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 (with Q.-H. Hou and H.-T. Jin) The Abel-Zeilberger algorithm, Electron. J. Combin. 18(2) (2011) #P17. 20 Citations (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 (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 (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 (with L.H. Liu) Permutation tableaux and the dashed permutation pattern 32–1, Electron. J. Combin. 18 (2011) #P111. 8 Citations (with B.L.S. Lin) Congruences for bipartitions with odd parts distinct, Ramanujan J. 25 (2011) 277-293. PDF | 18 Citations (with E.X.W. Xia) The ratio monotonicity of the q-derangement numbers, Discrete Math. 311(6) (2011) 393-397. PDF | 5 Citations (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 (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 (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 (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 (with D.G.L. Wang) Singletons and adjacencies of set partitions of type B, Discrete Math. 311 (2011) 418-422. PDF | 5 Citations (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 (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 2010 (with L.X.W. Wang) On balanced colorings of the n-cube, J. Algebraic Combin. 32 (2010) 379-387. PDF (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 | 29 Citations (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 (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 (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 (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 (with D.G.L. Wang) The limiting distribution of the q-derangement numbers, European J. Combin. 31 (2010) 2006-2013. 4 Citations (with K.Q. Ji and A.J.W. Zhu) On Stanley's partition function, Electron. J. Combin. 17 (2010) #N31. 1 Citation (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 (with D.G.L. Wang) Minimally intersecting set partitions of type B, Electron. J. Combin. 17 (2010) #R22. 3 Citations (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 (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 (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. 2009 (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 (with H.Y. Gao and J. He) Labeled partitions with colored permutations, Discrete Math. 309(21) (2009) 6235-6244. PDF | 2 Citations (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 (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 (with E.X.W. Xia) The ratio monotonicity of the Boros-Moll polynomials, Math. Comp. 78 (2009) 2269-2282. PDF | 16 Citations (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 (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 (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 (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 (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 (with E.X.W. Xia) The q-WZ method for infinite series, J. Symbolic Comput. 44 (2009) 960-971. PDF | 5 Citations (with A.M. Fu and I.F. Zhang) Faulhaber's theorem on power sums, Discrete Math. 309 (2009) 2974-2981. PDF | 8 Citations (with S.X.M. Pang) On the combinatorics of the Pfaff identity, Discrete Math. 309 (2009) 2190-2196. PDF | 14 Citations (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 (with J. Liu) Set systems with L-intersections modulo a prime number, J. Combin. Theory Ser. A 116(1) (2009) 120-131. 8 Citations 2008 (with A.W.M. Dress and W.Q. Yu) Community structures of networks, Math. Comput. Sci. 1 (2008) 441-457. PDF | 15 Citations (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 (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 (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 (with P. Paule and H.L. Saad) Converging to Gosper's algorithm, Adv. Appl. Math. 41 (2008) 351-364. PDF | 13 Citations (with D. Xu) Labeled partitions and the q-derangement numbers, SIAM J. Discrete Math. 22(3) (2008) 1099-1104. PDF | 6 Citations (with E.Y.P. Deng and L.L.M. Yang) Riordan paths and derangements, Discrete Math. 308(11) (2008) 2222-2227. 7 Citations (with J. Qin and C.M. Reidys) Crossings and nestings in tangled diagrams, Electron. J. Combin. 15 (2008) #R86. 27 Citations (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 (with L.L.M. Yang) On Postnikov's hook length formula for binary trees, European J. Combin. 29 (2008) 1563-1565. PDF | 19 Citations (with S.Y.J. Wu and C.H. Yan) Linked partitions and linked cycles, European J. Combin. 29 (2008) 1408-1426. 23 Citations (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 (with A.L.B. Yang) Stanley's zrank conjecture on skew partitions, Trans. Amer. Math. Soc. 360 (2008) 3121-3131. 1 Citation 2007 (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 (with J.C.Y. Zhang) The skew and relative derangements of type B, Electron. J. Combin. 24 (2007) #N24. 3 Citations (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 (with H.L. Saad and L.H. Sun) The bivariate Rogers-Szegö polynomials, J. Phys. A 40 (2007) 6071-6084. 16 Citations (with K.Q. Ji) Weighted forms of Euler's theorem, J. Combin. Theory Ser. A 114 (2007) 360-372. 10 Citations (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 (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. 176 Citations 2006 (with K.Q. Ji and H.S. Wilf) BG-Ranks and 2-cores, Electron. J. Combin. 13 (2006) #N18. 4 Citations (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 (with T. Mansour and S.H.F. Yan) Matchings avoiding partial patterns, Electron. J. Combin. 13 (2006) #R112. 12 Citations (with Q.-H. Hou) Factors of the Gaussian coefficients, Discrete Math. 306(13) (2006) 1446-1449. PDF | 11 Citations (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 (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 (with A.M. Fu) Semi-finite forms of bilateral basic hypergeometric series, Proc. Amer. Math. Soc. 134 (2006) 1719-1725. 22 Citations (with E. Deutsch and S. Elizalde) Old and young leaves on plane trees, European J. Combin. 27(3) (2006) 414-427. 10 Citations (with S.H.F. Yan) Noncrossing trees and noncrossing graphs, Electron. J. Combin. 13 (2006) #N12. PDF | 10 Citations 2005 (with J.J.Y. Zhao) The Gaussian coefficients and overpartitions, Discrete Math. 305(1-3) (2005) 350-353. 3 Citations (with A.L.B. Yang) Stable equivalence over symmetric functions, Electron. J. Combin. 11(2) (2004/06) #R23. 1 Citation (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 (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 (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 (with H.L. Saad) On the Gosper-Petkovsek representation of rational functions, J. Symbolic Comput. 40(2) (2005) 955-963. 3 Citations (with C. Krattenthaler and A.L.B. Yang) The flagged Cauchy determinant, Graphs Combin. 21 (2005) 51-62. PDF | 3 Citations (with D.C. Torney) Equivalence classes of matchings and lattice-square designs, Discrete Appl. Math. 145 (2005) 349-357. 1 Citation 2004 (with G.-G. Yan and A.L.B. Yang) The skew Schubert polynomials, European J. Combin. 25(8) (2004) 1181-1196. 7 Citations (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 (with A.M. Fu) Cauchy augmentation for basic hypergeometric series, Bull. London Math. Soc. 36(2) (2004) 169-175. PDF | 4 Citations (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 2003 (with A.M. Fu and B.Y. Zhang) The homogeneous q-difference operator, Adv. Appl. Math. 31 (2003) 659-668. PDF | 24 Citations (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 (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 2002 (with B.Q. Li and J.D. Louck) The flagged double Schur function, J. Algebraic Combin. 15 (2002) 7-26. PDF | 20 Citations 2001 (with J.W. Guo) Bijections behind the Ramanujan polynomials, Adv. Appl. Math. 27 (2001) 336-356. PDF | 10 Citations (with J. Wang) Decomposition of necklaces, Ann. Comb. 5 (2001) 271-283. 2 Citations (with H.W. Galbraith and J.D. Louck) Angular momentum theory, umbral calculus, and combinatorics, Computer Math. Appl. 41 (2001) 1199-1214. 4 Citations 2000 (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 1999 A general bijective algorithm for increasing tress, Syst. Sci. Math. Sci. 12 (1999) 193-203. 8 Citations (with J.D. Louck) Enumeration of cubic graphs by inclusion-exclusion, J. Combin. Theory Ser. A 86 (1999) 151-157. 2 Citations 1998 The pessimistic search and the straightening involution for trees, European J. Combin. 19 (1998) 553-558. 2 Citations (with J.D. Louck and H. Galbraith) Combinatorics of 3n-j coefficients, Phys. Atomic Nuclei 61(11) (1998) 1868-1873. 5 Citations (with J.D. Louck) The combinatorics of a class of representation functions, Adv. Math. 140 (1998) 207-236. 25 Citations (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 1997 (with Z.-G. Liu) Parameter augmentation for basic hypergeometric series II, J. Combin. Theory Ser. A 80(2) (1997) 175-195. 64 Citations (with J.D. Louck) Necklaces, MSS sequences and DNA sequences, Adv. Appl. Math. 18 (1997) 18-32. 24 Citations 1996 (with J.D. Louck) The combinatorial power of the companion matrix, Linear Algebra Appl. 232 (1996) 261-278. 52 Citations The skew, relative and classical derangements, Discrete Math. 160 (1996) 235-239. 4 Citations (with J.D. Louck) Interpolation for symmetric functions, Adv. Math. 117 (1996) 147-156. 23 Citations 1995 (with J. Oliveira) Implication algebras and the Metropolis-Rota axioms for cubic lattices, J. Algebra 171 (1995) 383-396. 16 Citations (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 (with K.-W. Lih and Y.-N. Yeh) Cyclic tableaux and symmetric functions, Stud. Appl. Math. 94 (1995) 327-339. 9 Citations (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 (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 1994 A bijection for enriched trees, European J. Combin. 15 (1994) 337-343. 2 Citations 1993 The theory of compositionals, Discrete Math. 122 (1993) 59-87. 13 Citations Compositional calculus, J. Combin. Theory Ser. A 64 (1993) 149-188. 13 Citations Induced cycle structures of the hyperoctahedral group, SIAM J. Discrete Math. 6 (1993) 353-362. 16 Citations A coding algorithm for Rényi trees, J. Combin. Theory Ser. A 63 (1993) 11-25. 10 Citations (with V. Faber and J. Moore) Cycle prefix digraphs for symmetric interconnection networks, Networks 23 (1993) 641-649. 58 Citations (with J.D. Louck) The factorial Schur function, J. Math. Phys. 34 (9) (1993) 4144-4160. 43 Citations Context-free grammars, differential operators and formal power series, Theoret. Comput. Sci. 117 (1993) 113-129. 54 Citations (with R. Stanley) Derangements on the n-cube, Discrete Math. 115 (1993) 65-75. 22 Citations 1992 (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 Integral matrices with given row and column sums, J. Combin. Theory Ser. A 61 (1992) 153-172. 14 Citations 1991 Maximum (g, f )-factors of a general graph, Discrete Math. 91 (1991) 1-7. 4 Citations 1990 A general bijective algorithm for trees, Proc. Natl. Acad. Sci. USA. 87 (1990) 9635-9639. 48 Citations 1989 (with A. Shastri) On joint realization of (0, 1)-matrices, Linear Algebra Appl. 112 (1989) 75-85. 9 Citations 1988 A short proof of Kundu's k-factor theorem, Discrete Math. 71 (1988) 177-179. 23 Citations 1986 A counterexample to a conjecture of Brualdi and Anstee, J. Math. Res. Exposition 6 (1986) 68. 6 Citations