2023
(with Amy M. Fu)
A Grammatical Calculus for Peaks and Runs of Permutations,
J. Algebraic Combin. 57(4) (2023) 1139–1162.
PDF
(with Amy M. Fu and Sherry H.F. Yan)
The Gessel correspondence and the partial γ-positivity of the Eulerian polynomials on multiset Stirling permutations,
European J. Combin. 109 (2023) Paper No. 103655.
PDF
2022
(with Amy M. Fu)
The Dumont ansatz for the Eulerian polynomials,
peak polynomials and derivative polynomials,
Ann. Combin., online.
PDF
Cubic equations through the looking glass of Sylvester,
College Math. J. 53(5) (2022) 396-398.
PDF |
2 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 |
2 Citations
(with Ivy D.D. Jia)
Semi-invariants of binary forms and Sylvester's theorem,
Ramanujan J. 59(1) (2022) 297–311.
PDF |
1 Citation
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 |
26 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 |
21 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 |
43 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 |
13 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 |
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 |
11 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 L_{m}(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 _{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 |
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.
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 |
6 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.
23 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_{n} 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 |
21 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.
PDF |
14 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.
183 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.
11 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.
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.
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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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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.
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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.
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.
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.
57 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.
29 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