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math.CO2014
Average Size of a Self-conjugate (s, t)-Core Partition
William Y. C. Chen, Harry H. Y. Huang, Larry X. W. Wang
Armstrong, Hanusa and Jones conjectured that if are coprime integers, then the average size of an -core partition and the average size of a self-conjugate -core…
math.CO2013★ 4 cited
s-Inversion Sequences and P-Partitions of Type B
William Y. C. Chen, Alan J. X. Guo, Peter L. Guo +2
Given a sequence of positive integers, the inversion sequences with respect to , or -inversion sequences, were introduced by Savage and Schuster in their…
math.CO2013
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
Let be a Coxeter group, and for , let be the Kazhdan-Lusztig -polynomial indexed by and . In this paper, we present a combinatorial proof of th…