2024
Breaking cycles, the odd versus the even,
Enumer. Comb. Appl. 4(3) (2024) Article #S2R17.
PDF
2023
(with Amy M. Fu)
A grammatical calculus for peaks and runs of permutations,
J. Algebraic Combin. 57(4) (2023) 1139–1162.
PDF |
4 Citations
(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 |
2 Citations
(with Amy M. Fu)
The Dumont ansatz for the Eulerian polynomials,
peak polynomials and derivative polynomials,
Ann. Combin. 27(3) (2023) 707-735.
PDF |
5 Citations
2022
Cubic equations through the looking glass of Sylvester,
College Math. J. 53(5) (2022) 396-398.
PDF |
4 Citations
(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 |
13 Citations
(with Ivy D.D. Jia)
Semi-invariants of binary forms and Sylvester's theorem,
Ramanujan J. 59(1) (2022) 297-311.
PDF |
2 Citations
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 |
19 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 |
5 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 |
30 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 |
26 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 |
46 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 |
16 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 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.
(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 |
4 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 |
7 Citations
(with J.N. Chen and R.D.P. Zhou)
On pattern avoiding alternating permutations,
European J. Combin. 40 (2014) 11-25.
PDF |
5 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 |
21 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 |
12 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 |
10 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 |
13 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.
15 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 |
20 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 |
4 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 |
2 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.
21 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 |
7 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 |
31 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 |
7 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 |
5 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 |
16 Citations
4819
(with E.X.W. Xia)
The ratio monotonicity of the Boros-Moll polynomials,
Math. Comp. 78 (2009) 2269-2282.
PDF |
19 Citations
(with R.L. Tang and A.F.Y. Zhao)
Derangement polynomials and excedances of type B,
Electron. J. Combin. 16(2) (2009) #R15.
24 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 |
10 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 |
22 Citations
(with P. Paule and H.L. Saad)
Converging to Gosper's algorithm,
Adv. Appl. Math. 41 (2008) 351-364.
PDF |
14 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.
24 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 |
3 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.
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14 Citations
(with H.L. Saad and L.H. Sun)
The bivariate Rogers-Szegö polynomials,
J. Phys. A 40 (2007) 6071-6084.
17 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.
186 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.
12 Citations
(with S.H.F. Yan)
Noncrossing trees and noncrossing graphs,
Electron. J. Combin. 13 (2006) #N12.
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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.
9 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.
37 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.
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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.
8 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.
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24 Citations
(with A.M. Fu)
Cauchy augmentation for basic hypergeometric series,
Bull. London Math. Soc. 36(2) (2004) 169-175.
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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.
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17 Citations
2003
(with A.M. Fu and B.Y. Zhang)
The homogeneous q-difference operator,
Adv. Appl. Math. 31 (2003) 659-668.
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25 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.
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3 Citations
2002
(with B.Q. Li and J.D. Louck)
The flagged double Schur function,
J. Algebraic Combin. 15 (2002) 7-26.
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20 Citations
2001
(with V.J.W. Guo)
Bijections behind the Ramanujan polynomials,
Adv. Appl. Math. 27 (2001) 336-356.
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9 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.
67 Citations
1997
(with Z.-G. Liu)
Parameter augmentation for basic hypergeometric series II,
J. Combin. Theory Ser. A 80(2) (1997) 175-195.
65 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.
6 Citations
(with J.D. Louck)
Interpolation for symmetric functions,
Adv. Math. 117 (1996) 147-156.
24 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.
59 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.
30 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