Publications (131)
Zigzag Stacks and m-Regular Linear Stacks
William Y. C. Chen, Qiang-Hui Guo, Lisa H. Sun +1
Disposition Polynomials and Plane Trees
William Y. C. Chen, Janet F. F. Peng
Extended Zeilberger's Algorithm for Identities on Bernoulli and Euler Polynomials
William Y. C. Chen, Lisa H. Sun
Jacobi's Identity and Synchronized Partitions
William Y. C. Chen, Kathy Q. Ji
Bijections behind the Ramanujan Polynomials
William Y. C. Chen, Victor J. W. Guo
A Bijection between Atomic Partitions and Unsplitable Partitions
William Y. C. Chen, Teresa X. S. Li, David G. L. Wang
Congruences for Bipartitions with Odd Parts Distinct
William Y. C. Chen, Bernard L. S. Lin
A Proof of Moll's Minimum Conjecture
William Y. C. Chen, Ernest X. W. Xia
Partitions and Partial Matchings Avoiding Neighbor Patterns
William Y. C. Chen, Neil J. Y. Fan, Alina F. Y. Zhao
Weighted Forms of Euler's Theorem
William Y. C. Chen, Kathy Q. Ji
Riordan Paths and Derangements
William Y. C. Chen, Eva Y. P. Deng, Laura L. M. Yang
Labeled Partitions with Colored Permutations
William Y. C. Chen, Henry Y. Gao, Jia He
Linked Partitions and Linked Cycles
William Y. C. Chen, Susan Y. J. Wu, Catherine Yan
On the Hook Length Formula for Binary Trees
William Y. C. Chen, Laura L. M. Yang
The Butterfly Decomposition of Plane Trees
William Y. C. Chen, Nelson Y. Li, Louis W. Shapiro
Anti-lecture Hall Compositions and Overpartitions
William Y. C. Chen, Doris D. M. Sang, Diane Y. H. Shi
Labeled Partitions and the q-Derangement Numbers
William Y. C. Chen, Deheng Xu
The Algorithm Z and Ramanujan's $_1Ï_1$ Summation
Sandy H. L. Chen, William Y. C. Chen, Amy M. Fu +1
A Unification of Two Refinements of Euler's Partition Theorem
William Y. C. Chen, Henry Y. Gao, Kathy Q. Ji +1
The Rogers-Ramanujan-Gordon Theorem for Overpartitions
William Y. C. Chen, Doris D. M. Sang, Diane Y. H. Shi
On the Number of Partitions with Designated Summands
William Y. C. Chen, Kathy Q. Ji, Hai-Tao Jin +1
Stanley's Zrank Problem on Skew Partitions
William Y. C. Chen, Arthur L. B. Yang
The Limiting Distribution of the Coefficients of the $q$-Catalan Numbers
William Y. C. Chen, Carol J. Wang, Larry X. W. Wang
Applicability of the $q$-Analogue of Zeilberger's Algorithm
William Y. C. Chen, Qing-Hu Hou, Yan-Ping Mu
Arithmetic Properties of Overpartition Pairs
William Y. C. Chen, Bernard L. S. Lin
The Ratio Monotonicity of the Boros-Moll Polynomials
William Y. C. Chen, Ernest X. W. Xia
Proof of the Andrews-Dyson-Rhoades Conjecture on the spt-Crank
William Y. C. Chen, Kathy Q. Ji, Wenston J. T. Zang
Congruences of Multipartition Functions Modulo Powers of Primes
William Y. C. Chen, Daniel K. Du, Qing-Hu Hou +1
The Extended Zeilberger's Algorithm with Parameters
William Y. C. Chen, Qing-Hu Hou, Yan-Ping Mu
The q-Log-convexity of the Generating Functions of the Squares of Binomial Coefficients
William Y. C. Chen, Robert L. Tang, Larry X. W. Wang +1
An Overpartition Analogue of Bressoud's Theorem of Rogers-Ramanujan Type
William Y. C. Chen, Doris D. M. Sang, Diane Y. H. Shi
Noncrossing Linked Partitions and Large (3,2)-Motzkin Paths
William Y. C. Chen, Carol J. Wang
On the Positive Moments of Ranks of Partitions
William Y. C. Chen, Kathy Q. Ji, Erin Y. Y. Shen
Major Index for 01-Fillings of Moon Polyominoes
William Y. C. Chen, Svetlana Poznanovik, Catherine H. Yan +1
Crossings and nesting in tangled-diagrams
William Y. C. Chen, Jing Qin, Christian M. Reidys
A generalization of the brauer algebra
William Y. C. Chen, Christian M. Reidys
Context-free Grammars for Permutations and Increasing Trees
William Y. C. Chen, Amy M. Fu
Ordered Partitions Avoiding a Permutation of Length 3
William Y. C. Chen, Alvin Y. L. Dai, Robin D. P. Zhou
Matchings Avoiding Partial Patterns
William Y. C. Chen, Toufik Mansour, Sherry H. F. Yan
BG-ranks and 2-cores
William Y. C. Chen, Kathy Q. Ji, Herbert S. Wilf
Identities Derived from Noncrossing Partitions of Type B
William Y. C. Chen, Andrew Y. Z. Wang, Alina F. Y. Zhao
Finite Differences of the Logarithm of the Partition Function
William Y. C. Chen, Larry X. W. Wang, Gary Y. B. Xie
Permutation Tableaux and the Dashed Permutation Pattern 32-1
William Y. C. Chen, Lewis H. Liu
Nonterminating Basic Hypergeometric Series and the $q$-Zeilberger Algorithm
William Y. C. Chen, Qing-Hu Hou, Yan-Ping Mu
Automorphisms of the cycle prefix digraph
William Y. C. Chen, Vance Faber, Bingqing Li
A Reflection Principle for Three Vicious Walkers
William Y. C. Chen, Donna Q. J. Dou, Terence Y. J. Zhang
The Abel Lemma and the q-Gosper Algorithm
Vincent Y. B. Chen, William Y. C. Chen, Nancy S. S. Gu
The q-WZ Method for Infinite Series
William Y. C. Chen, Ernest X. W. Xia
Transformations of Border Strips and Schur Function Determinants
William Y. C. Chen, Guo-Guang Yan, Arthur L. B. Yang
Branden's Conjectures on the Boros-Moll Polynomials
William Y. C. Chen, Donna Q. J. Dou, Arthur L. B. Yang
Zeta Functions and the Log-behavior of Combinatorial Sequences
William Y. C. Chen, Jeremy J. F. Guo, Larry X. W. Wang
Equivalence Classes of Full-Dimensional 0/1-Polytopes with Many Vertices
William Y. C. Chen, Peter L. Guo
The 2-log-convexity of the Apery Numbers
William Y. C. Chen, Ernest X. W. Xia
Average Size of a Self-conjugate (s, t)-Core Partition
William Y. C. Chen, Harry H. Y. Huang, Larry X. W. Wang
On Stanley's Partition Function
William Y. C. Chen, Kathy Q. Ji, Albert J. W. Zhu
Stable Equivalences of Giambelli Type Matrices of Schur Functions
William Y. C. Chen, Arthur L. B. Yang
On Pattern Avoiding Alternating Permutations
Joanna N. Chen, William Y. C. Chen, Robin D. P. Zhou
Combinatorial Telescoping for an Identity of Andrews on Parity in Partitions
William Y. C. Chen, Daniel K. Du, Charles B. Mei
Converging to Gosper's Algorithm
William Y. C. Chen, Peter Paule, Husam L. Saad
An Iterated Map for the Lebesgue Identity
William Y. C. Chen, Qing-Hu Hou, Lisa H. Sun
Noncrossing Trees and Noncrossing Graphs
William Y. C. Chen, Sherry H. F. Yan
Derangements and Relative Derangements of Type $B$
William Y. C. Chen, Jessica C. Y. Zhang
The Sorting Index and Permutation Codes
William Y. C. Chen, George Z. Gong, Jeremy J. F. Guo
Euler's Partition Theorem with Upper Bounds on Multiplicities
William Y. C. Chen, Ae Ja Yee, Albert J. W. Zhu
Partition Identities for Ramanujan's Third Order Mock Theta Functions
William Y. C. Chen, Kathy Q. Ji, Eric H. Liu
s-Inversion Sequences and P-Partitions of Type B
William Y. C. Chen, Alan J. X. Guo, Peter L. Guo +2
k-Marked Dyson Symbols and Congruences for Moments of Cranks
William Y. C. Chen, Kathy Q. Ji, Erin Y. Y. Shen
Ramanujan-type Congruences for Overpartitions Modulo 5
William Y. C. Chen, Lisa H. Sun, Rong-Hua Wang +1
A Class of Kazhdan-Lusztig R-Polynomials and q-Fibonacci Numbers
William Y. C. Chen, Neil J. Y. Fan, Peter L. Guo +1
The Method of Combinatorial Telescoping
William Y. C. Chen, Qing-Hu Hou, Lisa H. Sun
Labeled Ballot Paths and the Springer Numbers
William Y. C. Chen, Neil J. Y. Fan, Jeffrey Y. T. Jia
Semi-Finite Forms of Bilateral Basic Hypergeometric Series
William Y. C. Chen, Amy M. Fu
Mixed Statistics on 01-Fillings of Moon Polyominoes
William Y. C. Chen, Andrew Y. Z. Wang, Catherine H. Yan +1
The Reverse Ultra Log-Concavity of the Boros-Moll Polynomials
William Y. C. Chen, Cindy C. Y. Gu
The Limiting Distributions of the Coefficients of the q-Derangement Numbers
William Y. C. Chen, David G. L. Wang
The spt-Crank for Ordinary Partitions
William Y. C. Chen, Kathy Q. Ji, Wenston J. T. Zang
2-Log-concavity of the Boros-Moll Polynomials
William Y. C. Chen, Ernest X. W. Xia
Random $k$-noncrossing RNA Structures
William Y. C. Chen, Hillary S. W. Han, Christian M. Reidys
Vacillating Hecke Tableaux and Linked Partitions
William Y. C. Chen, Peter L. Guo, Sabrina X. M. Pang
On Permutations with Bounded Drop Size
Joanna N. Chen, William Y. C. Chen
The Generating Function for the Dirichlet Series $L_m(s)$
William Y. C. Chen, Neil J. Y. Fan, Jeffrey Y. T. Jia
Hook Length Formulas for Trees by Han's Expansion
William Y. C. Chen, Oliver X. Q. Gao, Peter L. Guo
Parity Reversing Involutions on Plane Trees and 2-Motzkin Paths
William Y. C. Chen, Louis W. Shapiro, Laura L. M. Yang
Combinatorial Proof of the Inversion Formula on the Kazhdan-Lusztig R-Polynomials
William Y. C. Chen, Neil J. Y. Fan, Alan J. X. Guo +3
Log-concavity and q-Log-convexity Conjectures on the Longest Increasing Subsequences of Permutations
William Y. C. Chen
Weighted 2-Motzkin Paths
William Y. C. Chen, Sherry H. F. Yan, Laura L. M. Yang
On the Bilateral Series $_2Ï_2$
Vincent Y. B. Chen, William Y. C. Chen, Nancy S. S. Gu
On Singletons and Adjacencies of Set Partitions of Type B
William Y. C. Chen, David G. L. Wang
Partitions of $\mathbb{Z}_n$ into Arithmetic Progressions
William Y. C. Chen, David G. L. Wang, Iris F. Zhang
Crossings and Nestings of Matchings and Partitions
William Y. C. Chen, Eva Y. P. Deng, Rosena R. X. Du +2
Proof of a Conjecture of Hirschhorn and Sellers on Overpartitions
William Y. C. Chen, Ernest X. W. Xia
On 021-Avoiding Ascent Sequences
William Y. C. Chen, Alvin Y. L. Dai, Theodore Dokos +2
The srank Conjecture on Schur's $Q$-Functions
William Y. C. Chen, Donna Q. J. Dou, Robert L. Tang +1
Minimal Permutations and 2-Regular Skew Tableaux
William Y. C. Chen, Cindy C. Y. Gu, Kevin J. Ma
Han's Bijection via Permutation Codes
William Y. C. Chen, Neil J. Y. Fan, Teresa X. S. Li
Faulhaber's Theorem on Power Sums
William Y. C. Chen, Amy M. Fu, Iris F. Zhang
Matrix Identities on Weighted Partial Motzkin Paths
William Y. C. Chen, Nelson Y. Li, Louis W. Shapiro +1
Pairs of Noncrossing Free Dyck Paths and Noncrossing Partitions
William Y. C. Chen, Sabrina X. M. Pang, Ellen X. Y. Qu +1
Lattice Polynomials, 12312-Avoiding Partial Matchings and Even Trees
William Y. C. Chen, Louis W. Shapiro, Susan Y. J. Wu
Minimally Intersecting Set Partitions of Type B
William Y. C. Chen, David G. L. Wang