To Appear (with Ivy D.D. Jia)
**Semi-invariants of binary forms and Sylvester's theorem**, Ramanujan J., to appear. PDF(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 | 1 Citation(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(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 | 16 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(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 | 3 Citation(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-
(with L.H. Sun)
**Stanley's lemma and multiple theta functions**, SIAM J. Discrete Math.**32**(2018) 474-504. PDF | 1 Citation -
(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 -
**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 | 15 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 -
(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 Citations -
(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 -
(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 -
(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 -
(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 -
(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 -
(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 | 11 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**,*L*(_{m}*s*) Math. Comp.**81**(278) (2012) 1005-1023. PDF | 2 Citations(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**,_{1}ψ_{1}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 | 21 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(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 | 27 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 | 4 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 | 20 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.
(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**,*Z*into arithmetic progressions_{n} 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 | 4 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(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(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. 175 Citations(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(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(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(with A.M. Fu and B.Y. Zhang)
**The homogeneous**,*q*-difference operator Adv. Appl. Math.**31**(2003) 659-668. PDF | 23 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(with B.Q. Li and J.D. Louck)
**The flagged double Schur function**, J. Algebraic Combin.**15**(2002) 7-26. PDF | 20 Citations(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 Citation(with H.W. Galbraith and J.D. Louck)
**Angular momentum theory, umbral calculus, and combinatorics**, Computer Math. Appl.**41**(2001) 1199-1214. 4 Citations(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**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 Citation**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 3**,*n-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. 65 Citations(with Z.-G. Liu)
**Parameter augmentation for basic hypergeometric series II**, J. Combin. Theory Ser. A**80**(2) (1997) 175-195. 62 Citations(with J.D. Louck)
**Necklaces, MSS sequences and DNA sequences**, Adv. Appl. Math.**18**(1997) 18-32. 24 Citations(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. 22 Citations(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) 3**,*n-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**A bijection for enriched trees**, European J. Combin.**15**(1994) 337-343. 2 Citations**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. 42 Citations**Context-free grammars, differential operators and formal power series**, Theoret. Comput. Sci.**117**(1993) 113-129. 53 Citations(with R. Stanley)
**Derangements on the**,*n*-cube Discrete Math.**115**(1993) 65-75. 22 Citations(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**Maximum (**,*g, f*)-factors of a general graph Discrete Math.**91**(1991) 1-7. 4 Citations**A general bijective algorithm for trees**, Proc. Natl. Acad. Sci. USA.**87**(1990) 9635-9639. 48 Citations(with A. Shastri)
**On joint realization of (0, 1)-matrices**, Linear Algebra Appl.**112**(1989) 75-85. 9 Citations**A short proof of Kundu's**,*k*-factor theorem Discrete Math.**71**(1988) 177-179. 22 Citations**A counterexample to a conjecture of Brualdi and Anstee**, J. Math. Res. Exposition**6**(1986) 68. 6 Citations
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