A Fast Algorithm for MacMahon's Partition Analysis. - Guoce Xin (Electron. J. Comb., 2004)

Proof of a conjecture on the slit plane problem. - Guoce Xin (Discret. Math., 2004)

A residue theorem for Malcev-Neumann series. - Guoce Xin (Adv. Appl. Math., 2005)

The Generating Function of Ternary Trees and Continued Fractions. - Ira M. Gessel; Guoce Xin (Electron. J. Comb., 2006)

Wilf-equivalence for singleton classes. - Jörgen Backelin; Julian West; Guoce Xin (Adv. Appl. Math., 2007)

Generalization of Stanley's monster reciprocity theorem. - Guoce Xin (J. Comb. Theory A, 2007)

Hankel determinants for some common lattice paths. - Robert A. Sulanke; Guoce Xin (Adv. Appl. Math., 2008)

Two Coefficients of the Dyson Product. - Lun Lv; Guoce Xin; Yue Zhou (Electron. J. Comb., 2008)

Constructing all magic squares of order three. - Guoce Xin (Discret. Math., 2008)

A unified elementary approach to the Dyson, Morris, Aomoto, and Forrester constant term identities. - Ira M. Gessel; Lun Lv; Guoce Xin; Yue Zhou (J. Comb. Theory A, 2008)

Invariants, Kronecker products, and combinatorics of some remarkable Diophantine systems. - Adriano M. Garsia; Gregg Musiker; Nolan Wallach; Guoce Xin (Adv. Appl. Math., 2009)

Proof of the Somos-4 Hankel determinants conjecture. - Guoce Xin (Adv. Appl. Math., 2009)

Hilbert series of invariants, constant terms and Kostka-Foulkes polynomials. - Adriano M. Garsia; Nolan Wallach; Guoce Xin; Mike Zabrocki (Discret. Math., 2009)

Enumeration of bilaterally symmetric 3-noncrossing partitions. - Guoce Xin; Terence Y. J. Zhang (Discret. Math., 2009)

On P-partitions related to ordinal sums of posets. - Wei Gao 008; Qing-Hu Hou; Guoce Xin (Eur. J. Comb., 2009)

Permutations with extremal number of fixed points. - Guo-Niu Han; Guoce Xin (J. Comb. Theory A, 2009)

A family of q-Dyson style constant term identities. - Lun Lv; Guoce Xin; Yue Zhou (J. Comb. Theory A, 2009)

Determinant formulas relating to tableaux of bounded height. - Guoce Xin (Adv. Appl. Math., 2010)

On Zeilberger's Constant Term for Andrews' TSSCPP Theorem. - Guoce Xin (Electron. J. Comb., 2011)

A Short Approach to Catalan Numbers Modulo 2r. - Guoce Xin; Jing-Feng Xu (Electron. J. Comb., 2011)

Kronecker coefficients via Symmetric Functions and Constant Term Identities. - Adriano M. Garsia; Nolan Wallach; Guoce Xin; Mike Zabrocki (Int. J. Algebra Comput., 2012)

Hermite reduction and creative telescoping for hyperexponential functions. - Alin Bostan; Shaoshi Chen; Frédéric Chyzak; Ziming Li 002; Guoce Xin (ISSAC, 2013)

A three shuffle case of the compositional parking function conjecture. - Adriano M. Garsia; Guoce Xin; Mike Zabrocki (J. Comb. Theory A, 2014)

A Euclid style algorithm for MacMahon's partition analysis. - Guoce Xin (J. Comb. Theory A, 2015)

Hankel Determinant Solutions to Several Discrete Integrable Systems and the Laurent Property. - Xiang-Ke Chang; Xing-Biao Hu; Guoce Xin (SIAM J. Discret. Math., 2015)

Dinv and Area. - Adriano M. Garsia; Guoce Xin (Electron. J. Comb., 2017)

A new plethystic symmetric function operator and the rational compositional shuffle conjecture at t = 1/q. - Adriano M. Garsia; Emily Sergel Leven; Nolan Wallach; Guoce Xin (J. Comb. Theory A, 2017)

On the Schur Positivity of Δe2 en[X]. - Dun Qiu; Jeffrey B. Remmel; Emily Sergel; Guoce Xin (Electron. J. Comb., 2018)

A Classification of Motzkin Numbers Modulo 8. - Ying Wang; Guoce Xin (Electron. J. Comb., 2018)

Hankel determinants and shifted periodic continued fractions. - Ying Wang; Guoce Xin; Meimei Zhai (Adv. Appl. Math., 2019)

On the Sweep Map for k⃗-Dyck Paths. - Guoce Xin; Yingrui Zhang (Electron. J. Comb., 2019)

Hankel determinants for convolution powers of Catalan numbers. - Ying Wang; Guoce Xin (Discret. Math., 2019)

On the sweep map for fuss rational Dyck paths. - Adriano M. Garsia; Guoce Xin (Adv. Appl. Math., 2020)

Using edge generating function to solve monomer-dimer problem. - Guoce Xin; Weigen Yan (Adv. Appl. Math., 2020)

On Parity Unimodality of q-Catalan Polynomials. - Guoce Xin; Yueming Zhong (Electron. J. Comb., 2020)

Proof of a conjecture on Hankel determinants for Dyck paths with restricted peak heights. - Guoce Xin; Zihao Zhang (Discret. Math., 2022)

Dinv, area, and bounce for k→-Dyck paths. - Guoce Xin; Yingrui Zhang (Adv. Appl. Math., 2023)

Proving some conjectures on Kekulé numbers for certain benzenoids by using Chebyshev polynomials. - Guoce Xin; Yueming Zhong (Adv. Appl. Math., 2023)

On magic distinct labellings of simple graphs. - Guoce Xin; Xinyu Xu; Chen Zhang; Yueming Zhong (J. Symb. Comput., 2023)

A combinatorial approach to Frobenius numbers of some special sequences. - Feihu Liu; Guoce Xin (Adv. Appl. Math., 2024)

A polynomial time algorithm for Sylvester waves when entries are bounded. - Guoce Xin; Chen Zhang (Adv. Appl. Math., 2025)

A fast algorithm for denumerants with three variables. - Feihu Liu; Guoce Xin (J. Symb. Comput., 2025)

Fast evaluation of generalized Todd polynomials: Applications to MacMahon's partition analysis and integer programming. - Guoce Xin; Yingrui Zhang; Zihao Zhang (J. Symb. Comput., 2025)